Tag: Article

Namaste, my name is Mansi Pasari. I secured an All India Rank of 689 in NEET UG 2025.
It has been nothing short of a rollercoaster ride. The journey was filled with late nights, early mornings and moments of self-doubt but also with growth, discipline and perseverance.
I began serious preparation in Class 11. Regular classes, mock tests and constant self-analysis became part of my routine.
But it was the final year that truly tested me. The pressure felt heavier, the mocks got tougher and there were days I seriously questioned if I could actually do it. Some days, my scores would drop and I’d feel completely thrown off. I’ve had moments of breakdown, overthinking everything and still showing up the next day because deep down, I knew I had to try.
I didn’t have a perfect routine or study 14 hours a day. I just stuck to the basics, revised NCERT repeatedly, solved questions and focused on improving little by little. What helped me the most was staying consistent, even on the bad days.
Support from my family, teachers and a close-knit group of friends kept me grounded. I took short breaks to avoid burnout and reminded myself that it’s okay to feel low, what matters is getting back up.
I sincerely thank my school teachers and management for the constant support throughout my journey. Their guidance and help made my journey a lot easier.
NEET prep taught me more than just academics, it shaped my discipline, focus and mindset. Looking back, it was all worth it.
To all future aspirants: stay consistent, trust the process and believe, because it’s possible.

Space is arguably one of the most fascinating things in the universe. In the wide space, there are things known as black holes, holes that can literally eat you alive! One of the key parts of these bodies is what is referred to as their event horizon. So today, I’m going to elaborate upon them. Enjoy the ride!
I think we all know what the boundary of place is-Let’s take countries as an example. If you enter a country, you are now inside of it, and you can’t exit without some cost, you will probably need some form of identification and need to go by plane. Now the event horizon is a certain boundary of a black hole-except there is no identification to escape it. Once you enter the event horizon, there is no escaping, you are literally freezed in time. (Oh yea, I forgot to add-the event horizon is USUALLY perfectly spherical)
Woah! Let’s understand that last point. What is the meaning of “Freezing in time” So this touches a weird but fascinating topic.
(Keep in mind- Gravitational Time Dilation – The stronger gravity is, the slower time passes relative to someone farther away from that gravity.
Gravity is EXTREMELY intense in a black hole- especially near the event horizon)
Let me explain this from another perspective-Imagine that you’re watching a spacecraft being sucked in by a black hole (let’s say you have a very powerful telescope). The spacecraft is nearing the event horizon at the point when you’re looking at it. Since gravity is so intense at this point, the spacecraft would seem to move slower and slower, until it seems to just stop or freeze in time.
Now that was your perspective from where you observed it.
But if you were in the spaceship, you have actually not frozen, you are moving deeper in the black hole in a matter of seconds, though you can’t send any signals now.
(Shift in perspective-you are now viewing the spacecraft, once it seems to have frozen in time) Now here is something astonishing-when you see the spaceship “freeze in time”, it won’t be too long until you won’t be able to see the aircraft at all.
Why, you ask?
Well this is one of the strangest things about blackholes.
Due to the intense gravity of black holes, it literally stretches light-something known as gravitational redshift happens.
First the rocket will appear to change colour- it will become red, redder- than infrared (invisible to your eyes), then a whole series of others-until you can’t see it anymore, not because the light has disappeared, but because it has stretched so much that your eyes or the telescope cannot detect it anymore.
(Important Notes-
-it is possible to see gravitational redshift, as long as it isn’t too extreme, in this case it is too extreme to see the light.
– if an object has not yet reached the event horizon, it can still potentially escape the black hole by sending signals or using any power it has. However, none of this is possible if the object has entered/crossed the event horizon.
-gravitational redshift and gravitational time dilation are only from the perspective of the viewer (you). Looking at the object’s (in this case-rockets) perspective, all things seem normal. (There will obviously be a huge difference in other aspects of the ship.)
IMPORTANT QUESTION
Why can’t an object escape the event horizon?
Ans. Due to the intense gravitational pull or the black hole at the point, escaping is out of the equation.
-REPEATING AGAIN- if an object enters the event horizon, it can NOT come out. No matter what. It can’t send signals, use power, NOTHING. Remember that.)
WHY IS IT CALLED THE EVENT HORIZON?
I don’t know about you but whenever I come across a term or definition, the first thing I do is find its meaning and why the certain occurrence was given that specific name. So, Let’s break down this term-
Event-Any occurrence in the universe (Example-A flash of light, an asteroid crashing on the earth; heck even moving your pencil!)
Horizon-the limits of your knowledge or experience OR a limit beyond which you cannot see. (Note- Yes, there is another meaning of the term horizon, however this is the one relating to the topic.)
Smashing/correlating these terms together, we get that when something in the universe crosses the event horizon, its events (its future) becomes unknown or invisible to all of the outside world till the end of time.
Therefore, it is a place where no information from the inside can reach the outside. It’s literally the horizon of events.
(Notes-
-The event horizon is a point of no return
-No information from the inside can reach the outside
-It is the horizon of events)
HOW BIG IS THE EVENT HORIZON?
All black holes are not of the same size. Therefore, nor is their event horizon.
For scientific and research purposes, it is necessary to find out the size of event horizons of various black holes.
(I think this is obvious now, but I will state it just in case-
Smaller the black hole, smaller the event horizon,
Bigger the black hole, bigger the event horizon)
So to calculate the size of any event horizon, there is an equation that we use-
rs=2GM/C2
(C2=CxC)
This equation is the Schwarzschild radius, an equation that was left unsolved by Albert Einstein and later solved by Karl Schwarzschild, leading to the name of the equation.
Now this equation is very, very complex. So, what I will do is explain the formulae briefly so you can know the basics, as knowing the depths of the equation is not necessary to understand the concept (It might also be quite boring for some of you)
Let us break down the different meanings of all the jumbled letters in this equation-
G- G is a number that tells us the strength of the gravity between two objects.
DID YOU KNOW?
If G were just a little bit up or down from where it is, we would not have stars and other fascinating things, we could even float off the earth!
In simple words- it tells us the gravitational force of the universe.
M- M is how much mass the black hole contains. Think of it as all the stuff the black hole has swallowed.
C- C is the speed of light- also known as the fastest thing we know!
Now, a question that you may ask yourself is-
“How are we supposed to know the value of G and M? It is not like we can weigh the universe-or black holes.
The answer, I will once again explain in brief, nothing detailed-
Let’s start with G, the strength of gravity of the universe.
We actually measure G from here on Earth, using many, many clever experiments conducted by scientists of course!
As I said earlier, G is the same everywhere in the universe, not only on Earth.
Let’s move on to M- the amount of Mass a black hole contains.
We obviously can’t measure the weight of a black hole, but we can use a bit of physics and data from surrounding objects to get a pretty close estimate.
As we know, black holes are invisible.
So if stars and/or other celestial bodies are rapidly revolving around something invisible-Its most probably a black hole!
(Another question you may ask is “Why do celestial bodies need to revolve around something invisible rapidly or fast for it to be a black hole?
The answer is that if the celestial bodies don’t move fast enough, they too will be sucked in by the black hole.
This is derived from 2-3 physics concepts (there is no official concept) that basically says
The stronger the gravity, the faster something has to move to stay in orbit.)
So, by watching how fast the celestial bodies move around the black hole, scientists can pretty closely calculate the gravity and thus find out the weight of the black hole.
It’s kind of how you could try to calculate the weight of an elephant by watching the way grass shakes whenever it moves.
Now, you may ask-how the heck do scientists do that?
The answers are in use of..PHYSICS!
This may seem a bit confusing but if you apply certain complex formulas you will eventually be able to calculate M.
So, once scientists have all three variables, they find out the size of the event horizon using the given formulae. Here is the general idea-
The bigger the mass of the black hole is, the bigger its event horizon.
Light speed and gravity just decide how it all comes together!
Possible Question-
Why do celestial bodies even orbit black holes in the first place?
Imagine you’re a star. You spot a black hole, and you can’t just run away. The not-so amazing gravity doesn’t allow that (BOO HOO)
Would you rather orbit it and save your life-though you will have to be very careful about how close you orbit, because you could get consumed by the hole if you’re too close, (In other words-still be scared for life about accidentally falling in) – or get consumed by it? (PS-Ignore what I said in the bracket, it isn’t meant to change your answer.)
I’ll let you decide the answer to that question.
And that’s how to calculate the size of the event horizon! Insane, right?
Well, that’s all for now, so I’m signing out. If you like this essay of mine, I’ll try to do the same with another essential part of black holes, their singularity. Until then, Adios my friends!

My commentary on ‘For Anne Gregory’ by William Butler Yeats
The poem discusses the topic of love. Love arising from a “young man in despair” and why all he’d ever fall for would be the female’s (Anne’s) golden lovely hair and appearance, not her, her personality. The point arises that the man is young, therefore presumably naive and in despair, therefore hopeless. Does such an immature person deserve the interpretation of being seen in love?
Worse, Anne focuses on the concept of being loved by a man of such sort (for he is labeled as common) to an extent that she’s ready to degrade and undermine herself, ready to make her personality the spotlight of her being, when she should be able to live as herself, letting her beauty be another ornament.
Mother Abbess (The Sound of Music) once said “The love of a man and woman is holy too”, so why? Why is it implied that only God has the potential to love you for who you are? Surely, God is the one who knows you, the real you, but that doesn’t mean that humans are incapable of reaching that extent. Does knowing someone head to toe, past to future define love? Is knowing all you need? For the question arises, what is love?
I’ll try, but sincerely, words are mere. Love is the wind that blows from one to another with scents and history until they are one, it’s unheard and unseen by all others incapable of understanding, the color of their eyes staring into their pools, long enough to merge. Be one. The souls are so well acquainted, they need no words to express themselves, a silence singing everywhere.
And it’s everything, respect, unwavering support, memories, smiles, tears, hope, humanity, poetry, art, dance, nature, life.
Yet, it’s nothing. For what “all” is, is nothing at once. (God?)
So love is larger, love is surrender and victory, love is truce, allies, love leaves only one kingdom, of not an “I” or a “you”, of “us”. It can never come down to a word, a person, a poem, an analysis. And so the interpretation wanders as I hope Anne can go out in the world and feel it, for that is love.

Mathematics is not just about numbers, it’s about direction. As a Math teacher, I often see students struggle with proving questions, especially in algebra and geometry. The main reason? They jump into finding solutions without understanding where they are and where they have to go.
Imagine leaving your home without knowing your destination. You may keep walking, but will you ever be able to reach anywhere? The same logic applies to solving math problems.
Before attempting any steps, students must clearly identify two things:
1. What is given (our starting point), and
2. What needs to be proved or found (our destination).
Once this path is visualized, the process becomes purposeful. Every step taken is like a turn on a road — guided, thoughtful, and inching closer to the goal. Random manipulations or memorized steps without clarity often lead to frustration.
Here are a few tips to make your math journey smoother:
Pause and write down the ‘Given’ and the ‘To Prove’ clearly.
Ask yourself: What tools (formulae, theorems, identities) do I have?
Check each step — is it taking me closer to the final proof?
Doing math effectively is all about thinking like a traveller who travels with a map in hand. Know your route, plan your moves, and enjoy the journey of logical discovery.
Happy problem solving!

Life is full of learning, fun and experience. When an opportunity to learn presents itself, we should take advantage of it. We are blessed with a school where we can learn, play and improve our skill. The school I study in is the best school in the city. It provides many opportunities to excel in the present and in the future. 

Let me talk about the Summer Internship programme which prepares the students to choose their subject or their career in future. Several students are not quite sure about what they want to pursue as a career and which stream they should opt for in Class XI. On the other hand, students of Classes XI and XII, having chosen a stream already, doubt if they have made the right choice. 

Further at this stage, they are also not very clear about what a particular profession actually entails. They are lured by images of successful professionals with little idea of their journey towards the pinnacle. 

It is with this in mind that the school announced an Internship programme of 2 weeks to give experience and clarity to the students. To ensure seriousness of purpose, the students were required to deposit a cheque of Rs 10000/- which would be returned if the student’s attendance in the internship was 100%. Else, the money would be donated in charity.

This opportunity was not only for gaining knowledge or for choosing a stream. It was also meant to ensure that students fruitfully utilize their summer vacations as well as to gain confidence to engage in a field which they think is their call.

My sister took up the internship for the Architecture programme. She went to Manish Kumat Design Cell under the mentorship of Mr. Manish Kumat, Architect. The duration of the internship was May 06 to May 20, 2025 from 10:30 am to 12:30 pm. A Google form had to be filled at the end of each day. Phones were allowed but kept on silent mode. 

Here is a brief description of what happened each day:

1st day – An Interactive session with Manish sir followed by an office visit and explanation about green building, an Architecture brief including one on various softwares used. Students also gained knowledge about Architecture Colleges.

2nd day – The students were taught steps involved in designing based on the client requirement. The designing involves exploring the concept given by a client as per their wish and requirement. The students got to study various plans and site documentation. They even tried their hand at making a conceptual drawing.

3rd day – Students learnt about different styles of architecture like classical, modern, gothic, etc. A brief about sectional study of a building and also elevation planning was given. What students found most fascinating was looking at 3 D effect of a design/plan that is how a building looks from different angles. 

4th day – Students were introduced to sustainable building that is the optimum use of technology and development to prevent harming the environment. This included recycling, green building and use of plants.

5th day – The students were given an insight into the concept of vastu. They learnt that direction, climate, surrounding plot are important factors for construction of any project whether commercial or residential. At the end, a drawing session was conducted testing team work and creativity of the teams.

Day 6 was a holiday.

7th day – The concept of row – column design in architecture was explained. The difference of architecture and interior designing in a room’s elevation planning was explained. An overview of the principle of ergonomics and ethonomics in interior designing was given. 

8th day – Detailed information about structural design was given to the students. An overview of material used and also the importance of working plan while construction was explained. Along with learning how the dimensions of each segment of the project is determined, the students also got to learn about the use of AutoCAD programme.

9th day – The students got to interact with the Civil and site team. They got to understand how estimates are made and also saw material samples.

10th day – The students were given the task of creating a piece of sketching by converting any object around them into a new and different depiction. This activity tested their creativity and drawing skills to design a unique sketch.

11th day – A site that was under construction was visited.

12th day – The students visited a constructed site for understanding Interior Designing. They were shown three houses in which two were of different architecture plans as well as interior designing. They observed the planning of different rooms as per the client needs, vastu, ventilation and site area. They were told where the material was procured from. While some material came from Gujarat and Rajasthan, some was procured from China as well. Smart technology was also used in electrification and for operation of curtains. 

On the last day another interactive session was held with  Mr Manish Kumat. He gave the students an appraisal of the previous 12 days as well as certificates of participation. The students conveyed their thanks for the exceptional guidance and the knowledge about the work of an architecture professional.

This internship was a fantastic initiative by the school and has to be appreciated. The session was successful, memorable and a valuable learning experience for all students.

We live our lives through the lens of another’s.
How often do we reach for our phones when we begin reading texts like these?
There is really no certain answer to such a question. Statistically speaking, when, or if, you get through a third of this passage, there’s a high chance that you’ve found another object of interest in the background, a second tab, your screensaver, or even, a stray vein on your hand you’ve “only just observed”.
A goldfish has an attention span of 8 seconds on average.
A human can barely top that, with the mere increment of another quarter second.
I’ve lost 17% of my audience by now, and the 83% still here can only skim this in hopes of being the last one here.
But can we lose all accountability here and blame it on what we consume? Are we all we feed our minds?
No, and, yes.
Between stimulus and response lies a space.
In that space lies our freedom and power to choose a response.
In our response lies our growth and our happiness.
Steven Covey explains no Socratic philosophy through these words, yet we still fight to consume a small tidbit in our instilled habit of joining the rat race to, frankly, slavery.
Take this with an example.
You have seven math problems, an essay due tomorrow, and a party at night.
You’re through with two problems, with a document for your essay and a chat between you and your friend open on your laptop.
Chances are, before you can finish writing the answer for your second equation, a ping from the chat will set your brain off into a frenzy for a “spicy update” to what she’s wearing that night.
Necessary?
Not.
Trendy?
Of course it is.
The thing is, we’ve wired our brains into shorter attention spans, so much so that if said friend sends us a music playlist with songs we haven’t listened to, we’ll give the first one three seconds to impress us and skip over to the next song.
And, surprise, surprise, you’re still not done with the second math problem.
Find an app you catch yourself repeatedly opening to get “a bout of rest before resuming work”.
Scroll over to the history section.
Rave your gaze over to the little rectangular bar that says “shorts: 120 watched”.
Multiply that number by 60.
You’ve spent 2 hours of your day raking mindlessly through short-form content, half of which you haven’t absorbed, and while two hours seems insignificant, think of how those 7200 seconds could have changed your life. There is, really, no long shot here. Sun Tzu, Lao Tzu, Sartre, Clear, and Kafka can ramble on and on about strategy and existentialism and management and whatnot, but when you choose to implement what you’ve gained through those philosophers into those 7200 seconds, how often do you find yourself trying to steal back 6000 of them?
Habits compound.
Snooze your alarm for a five-minute buffer on sleep one day, you’ll find yourself doing it every day of the week.
Ignore a 1% deterioration in your character once, and mathematically, you’re down to zero by the end of the year.
Contrarily, a 0.99% improvement in any aspect of your character compounded daily can exponentially make you 37 times better by nightfall the 365th day.
The problem is, we term, albeit subconsciously, ignorance, bliss.
We try comparing ourselves with people we come across on social media, or those around us, mostly ignoring motive, but always relaying our focus on “how much better they are”.
How often do you go to a park? Ever do it in absolutely no company but your own?
(Your phone leaves, too.)
We take simple tasks, like riding a metro every day, sitting on a swing alone, or even watching someone officiate a wedding, and pick up our phones, having lost curiosity about what the person in front of us might be doing.
No “Lady Gaga’s STUNNING Met Gala outfit shocks everyone; Kardashians respond” or “Extreme Fortnite gameplay: Last one standing?” may compare to what you’re losing right now, and you’re voluntarily feeding your brain information to fry those neurons you have left, turning your practicality on ‘Do Not Disturb’ instead of that little death trap, for lack of a better word, in your hands.
You are what you consume. Consume unnecessary content daily, you’re losing sight of that test you have next week. Short-form content can only be beneficial if you’re absorbing any important, valuable information through that video. Otherwise, it’s just a grey day into scrolling mindlessly and finding cheap sources for that little dopamine kick (that you might find anyway by focusing on tasks throughout your day) and picking up that phone after every math equation or short-answer question for “a five-minute break”, per five minutes of studying, painting, training, or any activity that enhances the use of your time and betters your skill.
In a brief conclusion, accountability is still in our hands. We hold the power to shape our mindset and drive away from what’s making us lose our vision. We are what we absorb, and we’re not making the most of all that until we steer clear of anything that holds us back.
I’m only speaking to 7% of the people who started reading a while ago, and 4% have forgotten half of what I’ve mentioned.
But even to the 3% still here, that essay is still due tomorrow, bud.

Well, the other day a friend of mine asked if liked to read, and I said “I don’t read much”. So she asked me if she could show me her favorite book and a few other good suggestions.
I agreed and she showed me her favorite book and I was like, ‘Oh! I have read this one!’ And it went on like that until 20-30 books that we finally came to a book that I hadn’t read.
Then she turned to me and said,” But you said you don’t read much.”
I smiled and replied, “How much is much?
Is reading 12 books a year much?
Or
Is reading 52 books a year much?
Or
Is reading 365 books a year much?
Well, if you asked me, I would say that none of them fit the description; because even if I spend every single moment of my life reading rather than breathing, it would still, never be much.
Because,
Knowledge can’t be limited,
Imagination sees no boundaries
And reading has no restrictions.
So if you asked me how much I read, I shall always say, ‘I don’t read much.'”

‘Stitch in Time Saves Nine’ basically means to refrain from being lazy, whether in work, studies, or life. For example: If there is a stitch coming off from a cloth and we stitch it at that time then we could prevent it from tearing further.

The same principle also applies in our life. If we procrastinate and delay our work, we would create problems for ourselves and the work would increase day by day and then we will feel burdened as the days pass. If we complete our work in time on a regular basis, we will never feel burdened or stressed because of it. 

The people who are disciplined and focus on every single problem, even if it is small, are more successful than others.

A person who has influenced me a lot over the years is my mother. She is a doctor and one of the best mothers that exists. She has brown eyes with purple rim, long hair and sun blessed skin. Over the years, I have seen her manage her work, our home and all the responsibilities efficiently. Did I mention that she is a great cook as well? She might look and act strict, but she is a very loving and caring person. She might not always be with me physically but her words are always there to motivate me.
To conclude, she is the best human that I have ever seen!

Reality shifting was one of the most talked about subjects in 2021 and 2022.

This topic always seems to catch attention. So, what is reality shifting?

Many think of it as dreaming, but do you feel anything when you dream? No, dreams are not controllable unless you are lucid dreaming. When you shift realities, your consciousness literally shifts to another universe or reality in this multiverse. 

In simple words, for example you have a choice to wear a red shirt or a blue shirt and you choose to wear the red one. There will be an alternate reality where you would have chosen the blue shirt. 

Reality shifting shifts your consciousness there, in that reality. And shifting there feels absolutely real, you can take decisions, you can feel emotions, etc. It is exactly like reality but you are physically not there. 

Shifting realities can also be planned using a timeline. One hour in my actual reality would be one week in my dream reality. Scripting your own story can also be helpful. 

Many methods can be used to shift realities. Shifters, the people who claim to have shifted, say that shifting requires a calm and clear mind, a lot of determination and patience. Once you have mastered it all, you can drift off into the fantasy worlds of your choice, like Hogwarts or a fictional world from your favourite novel!