IISC Physics Interview

Can you please suggest me some PHD Physics Interview questions asked by Indian Institute of Science?

[shikha]

Don’t worry I will suggest you some interview questions for PHD Physics program at Indian Institute of Science.

Here are some interview question
Welcome Neeraj , how do you pronounce your last name?

So Neeraj you completed your BSc last year and we don't have any record of yours from last year of what you've been doing, so would you please tell about that?

So why do you want to leave there?

So what courses have you done there?

So what are you really interested in?

Can you prove the Integral test? Just give me the idea how it's done.

Can you write some groups?

You wrote all abelian groups , write some non-abelian groups!

Okay so is $ (mathbb{Q}setminus{0}, . )$ cyclic?

Okay then is $ (mathbb{Q}^{+}, . )$( group of positive rationals wrt multiplication) cyclic?

So you mean $ (mathbb{Q}^{+}, . )$is not generated by $ frac{1}{q}$ but it may have generator of the type $ frac{p}{q}$.

Then it won't be able to generate elements of the type $ frac{1}{q}$

Okay, can you give finite proper subgroup of $ (mathbb{Q}^{+}, . )$?

And what about $ (mathbb{R}^{+}, . )$ ?

Is $ (mathbb{R}^{+}, . )$ and $ (mathbb{R}, +)$ isomorphic?

Let's come back to Analysis now, can you give a continuous onto map between $ (0,1)$ and $ (-1,1)$?

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