Monochromatic light is incident on a glass prism of angle A. If the refractive index of the  material of the prism is μ, a ray incident at an angle θ, on the face AB would get  transmitted through the face AC of the prism provided


A) $\theta > \sin^{-1}\left[\mu\sin\left(A-\sin^{-1}\left(\frac{1}{\mu}\right)\right)\right]$

B) $\theta < \sin^{-1}\left[\mu\sin\left(A-\sin^{-1}\left(\frac{1}{\mu}\right)\right)\right]$

C) $\theta > \cos^{-1}\left[\mu\sin\left(A+\sin^{-1}\left(\frac{1}{\mu}\right)\right)\right]$

D) $\theta < \cos^{-1}\left[\mu\sin\left(A+\sin^{-1}\left(\frac{1}{\mu}\right)\right)\right]$


A signal of 5 kHz frequency is amplitude modulated on a carrier wave of frequency 2MHz. The frequencies of the resultant signal is/are

A) 2MHz only

B) 2005 kHz and 1995 kHz

C) 2005 kHz 2000 kHz and 1995 kHz

D) 2000 kHz and 1995 kHz


Match List I (fundamental experiment) with List-II  (Its conclusion) and select the correct option from the choices given below the list.


A, B, C  equal to

A) 1,4,3

B) 2,4,3

C) 2,1,3

D) 4,3,2


As an electron makes a transition from an excited state to the ground state of a hydrogen-like atom/ion.

A) Its kinetic energy increases but potential energy and total energy decrease

B) kinetic energy, potential energy and total energy decrease

C) kinetic energy decreases, potential energy increases but total energy remains same

D) kinetic energy and total energy decrease but potential energy increases


Assuming  human pupil to have radius of 0.25cm and a comfortable viewing distance of 25cm , the minimum separation between  two objects  that human eye can resolve at 500 nm wavelength is

A) $ 1\mu m$

B) $ 30\mu m$

C) $ 100\mu m$

D) $ 300\mu m$