List of top Questions asked in CUET (PG)- 2025

The effective mass of an electron is ______________________________ in the lower part of the band and ______________________________ near the zone boundary (k\(\sim\)\(\pi\)/a).

In which type of metals, there is overlapping of valence band with the conduction band?

The electronic contribution of specific heat of copper at 300K is:
(Given that the fermi energy of copper is 7.05eV, and it is assumed to be temperature independent)

Which of the following symmetry does not exist:

The steps involved in determining the Miller indices are:
A. Take the reciprocal of these intercepts.
B. Simplify the fraction.
C. Enclose the obtained numbers into parentheses.
D. Find the intercepts of the plane on the crystallographic axes.
Choose the correct answer from the options given below:

The number of distinct space groups possible in 3-dimensions is:

Inter-planer spacing for a (034) plane in a simple cubic, whose lattice constant is \(4.5 \times 10^{-10}\) m, is:

The characteristic length of nano-materials is:

Surface area to volume ratio of materials:

As the particle size reduces, the optical absorption spectra shifts towards:

Carbon nanotube shows magneto-resistive effects:

Lithography is:

Scanning Tunneling Microscopy is based on:

Which statement is true for Scanning Tunneling Microscopy:

Atomic Force Microscopy is a modified version of:

Atomic Force Microscopy monitors:

Moment generating function of a random variable Y, is \( \frac{1}{3}e^t(e^t - \frac{2}{3}) \), then E(Y) is given by

If, \(f(X) = \frac{C\theta^x}{x}\); \(x = 1,2, \dots\); \(0<\theta<1\), then E(X) is equal to

If, \(f(x; \alpha, \beta) = \begin{cases} \alpha \beta x^{\beta-1} e^{-\alpha x^\beta} & ; x>0 \text{ and } \alpha, \beta>0 \\ 0 & ; \text{otherwise} \end{cases}\), then the probability density function of \(Y=x^\beta\) is

If \(f(X) = \frac{1}{\sqrt{2\pi}} e^{-\frac{x^2}{2}}; -\infty<x<\infty\) and \(Y = |X|\), then E(Y) is

The sequence \(\{a_n = \frac{1}{n^2}; n>0\}\) is

The values of 'm' for which the infinite series,
\(\sum \frac{\sqrt{n+1}+\sqrt{n}}{n^m}\) converges, are:

The limit of the sequence,
\(\{b_n; b_n = \frac{n^n}{(n+1)(n+2)...(n+n)}; n>0\}\), is