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- Question 1 of 16
##### 1. Question

A rod of proper length l0 oriented parallel to the x-axis moves with speed 2c/3 along the x-axis in the S-frame, where c is the speed of the light in free space. The observer is also moving along the x-axis with speed c/2 with respect to the S-frame. The length of the rod as measured by the observer is

CorrectIncorrect - Question 2 of 16
##### 2. Question

A simple cubic crystal with lattice parameter ac undergoes transition into a tetragonal structure with lattice parameters at = bt = (square root of 2) ac and ct = 2ac, below a certain temperature. The ratio of the interplanar spacings of (1 0 1) planes for the cubic and the tetragonal structures is

CorrectIncorrect - Question 3 of 16
##### 3. Question

A paramagnetic system consisting of N spin-half particles, is placed in an external magnetic field. It is found that N/2 spins are aligned parallel and the remaining N/2 spins are aligned antiparallel to the magnetic field. The statistical entropy of the system is,

CorrectIncorrect - Question 4 of 16
##### 4. Question

The equilibrium vibration frequency for an oscillator is observed at 2990 per cm. The ratio of the frequencies corresponding to the first and the fundamental spectral lines is 1.96. Considering the oscillator to be anharmonic, the anharmonicity constant is

CorrectIncorrect - Question 5 of 16
##### 5. Question

At a certain temperature T, the average speed of nitrogen molecules in air is found to be 400 m/s. The most probable and the root mean square speeds of the molecules are, respectively,

CorrectIncorrect - Question 6 of 16
##### 6. Question

Which one of the following quantities is invariant under Lorentz transformation?

CorrectIncorrect - Question 7 of 16
##### 7. Question

The number of normal Zeeman splitting components of 1P → 1D transition is

CorrectIncorrect - Question 8 of 16
##### 8. Question

An unpolarized light wave is incident from air on a glass surface at the Brewster angle. The angle between the reflected and the refracted wave is

CorrectIncorrect - Question 9 of 16
##### 9. Question

Two masses m and 3m are attached to the two ends of a massless spring with force constant K. If m = 100 g and K = 0.3 N/m, then the natural angular frequency of oscillation is ___________ Hz.

CorrectIncorrect - Question 10 of 16
##### 10. Question

The recoil momentum of an atom is Pa when it emits an infrared photon of wavelength 1500 nm, and it is Pb when it emits a photon of visible wavelength 500 nm. The ratio Pa/Pb is

CorrectIncorrect - Question 11 of 16
##### 11. Question

At a given temperature, T, the average energy per particle of a non-interacting gas of two-dimensional classical harmonic oscillators is ________________ kBT

(kB is the Boltzmann constant).CorrectIncorrect - Question 12 of 16
##### 12. Question

Which one of the following is a fermion?

CorrectIncorrect - Question 13 of 16
##### 13. Question

Which one of the following three-quark states (qqq), denoted by X, CANNOT be a possible baryon? The corresponding electric charge is indicated in the superscript.

CorrectIncorrect - Question 14 of 16
##### 14. Question

The Miller indices of a plane passing through the three points having coordinates (0,0,1), (1,0,0) , (1/2,1/2,1/4) are

CorrectIncorrect - Question 15 of 16
##### 15. Question

The minimum number of flip-flops required to construct a mod-75 counter is _______.

CorrectIncorrect - Question 16 of 16
##### 16. Question

The donor concentration in a sample of n-type silicon is increased by a factor of 100. The shift in the position of the Fermi level at 300K, assuming the sample to be non degenerate is __________ meV. (KbT= 25meV at 300K)

CorrectIncorrect