Wednesday, 14 December 2016

INAT PhD entrance questions and discussions

Hi friends...
If you are interested in Astronomy and Astrophysics and you are planning to do PhD in similar in IUCAA or NCRA, you should read this...

INAT exam was conducted on 8 Dec. 2016 for 2017 admissions.
The syllabus for exam is very deep and it include basic and advanced physics, electronics and mathematics.
There is no any topic wise syllabus available. When I asked some professors what to study here is what I was told....
I have to study B.Sc. and M.Sc. books for all three subjects. These institutes needs engineers but the engineering candidate can not study 5 years 3 subject course in 4-5 months. So of course I applied for exam but didn't study. But here are some questions from exam I remember ----

1) How much radiation energy a average human body will emit if the surrounding temperature is 20  deg. Celsius.

2) If we can burn a paper by concentrating sunlight using 1.5 cm radius lens, what radius of lens will require to burn a paper in moonlight.Given the intensity of sunlight is 40000 times the intensity of moonlight.

3) If
u = e-xcos y , what should be the value of v for function f(z)=u+iv to be analytic.

4) If an insulated wire is arranged like number eight (8) and the radius of each circular part is R, what will be the magnetic field near the point of contact if current I flows through it?

5) if two plates with electric charge densities +σ and - σ are kept as shown in fig, choose the right option for its electric field.. (I hope the direction of electric field is right)

6) If the current flows from point a to b, what will be the resistance?



Also there were questions which I don't recall exactly related to following topics --
- Fourier transform
- wave function of electron
- electron energy, eigen value and eigen state
- relation between electric field of electromagnetic wave and its magnetic field
- excited and populated state of an oscillator
- relation between mass of electron and momentum of electron
- integration (0 to 2pi) [dx/(a-bsinx)2]

If you remember any other questions from this or previous INAT question papers, please post in comments..