List of top Questions asked in CUET (PG)

The matrix equation \(AX=0\), represents :
A. non-Homogeneous linear equations
B. Homogeneous linear equations
C. Homogeneous non-linear equations
D. non-Homogeneous non-linear equations
E. non-Homogeneous Quadratic Equation Choose the correct answer from the options given below :

If \( A \in R_{n \times n} \) and \( \det A = 0 \), then :
A. \(A\) is non singular and the rows and columns of \(A\) are linearly independent
B. \(A\) is non-singular and the rows and columns of \(A\) are linearly dependent
C. \(A\) is non-singular and \(A\) has one zero row
D. \(A\) is singular
E. \(A\) is singular and rows and columns of \(A\) are linearly dependent Choose the correct answer from the options given below :

Calculate the depth of penetration of a 1 MHz wave into copper which has a conductivity \[ \sigma = 5.8\times10^7\ \text{mhos/m} \] and a permeability approximately equal to that of free space.

Effect of feedback connection on input and output impedance :
• [A.] Input impedance increases in voltage-series configuration
• [B.] Input impedance increases in current-series configuration
• [C.] Input impedance increases in current-shunt configuration
• [D.] Output impedance decreases in voltage-shunt configuration
• [E.] Output impedance decreases in current-series configuration Choose the correct answer from the options given below :

Which of the following statements are correct regarding the electric and magnetic fields at any surface of discontinuity ?
• [A.] The tangential component of \(E\) is continuous at the surface
• [B.] The tangential component of \(H\) is continuous across a surface except at the surface of a perfect conductor
• [C.] The tangential component of \(B\) is continuous at the surface of discontinuity
• [D.] The normal component of \(D\) is continuous if there is no surface charge density Choose the correct answer from the options given below :

Which of the following are ideal features of an operational amplifier ?
• [A.] Very high input impedance
• [B.] Very high voltage gain
• [C.] High output impedance
• [D.] High slew rate
• [E.] Low CMRR Choose the correct answer from the options given below :

Semiconductor devices have the following advantages over vacuum tubes :
• [A.] Bigger size
• [B.] More efficient
• [C.] Higher operating voltages
• [D.] No warm-up period
• [E.] More rugged Choose the correct answer from the options given below :

The gates required to build a full adder are :

Calculate the resonant frequency of the Wien Bridge Oscillator given below :

\[ R_1 = R_2 = 51\,k\Omega \] \[ C_1 = C_2 = 0.001\,\mu F \]

In the active region of transistor amplifier, which of the following options are correct :
• [A.] Base-emitter junction is forward-biased
• [B.] Base-emitter junction is reverse-biased
• [C.] Collector-base junction is forward-biased
• [D.] Collector-base junction is reverse biased Choose the correct answer from the options given below :

Find the inverse transform of \[ F(S)=\frac{S^2+3}{(S^2+25+5)(S+2)} \]

An angle-modulated signal with carrier frequency \(\omega_c = 2\pi \times 10^5\) is described by the equation. \[ \Phi_{em}(t)=10\cos(\omega_c t+5\sin 3000t+10\sin 2000t) \] The power of the modulated signal is :

Consider a modulating signal \(m(t)=2\sin(2\pi 10^3 t)\) is used to modulate a carrier of frequency \(10^6\) Hz. Find the bandwidth for phase modulation. Use phase modulation index \(=10\) units.

Convert the binary number \(1101101\) to hexadecimal. Which of the following options is correct ?

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): Instruction cycle is defined as the time required to complete the execution of an instruction. Reason (R): The 8085 instruction cycle consists of three to six machine cycles. In the light of the above statements, choose the most appropriate answer from the options given below :

The longest wavelength that can be absorbed by silicon, which has the bandgap of \(1.12\) eV, is \(1.1\,\mu m\). If the longest wavelength that can be absorbed by another material is \(0.78\,\mu m\), then the bandgap of this material is :

Minimum number of NAND gate required to implement the following Boolean expression : \[ X = AB + CD \]

Which of the following is a universal flip-flop ?

Work function \(\phi\) of a metal is \(9.53 \times 10^{-19}\) J, and the frequency of incident light is \(3.5 \times 10^{16}\) Hz. Find the kinetic energy of photoelectron. (Given Planck's constant \(h = 6.62 \times 10^{-34}\) Js) ?

Which sensor characteristic describes its ability to selectively detect a specific analyte without interference from other substances in the sample ?

When the photoresist coating (during IC fabrication) is exposed to ultraviolet light, the photoresist becomes :

The energy-momentum (E-K) relationship in a crystalline solid is usually obtained by solving :

The uses of silicon dioxide in modern integrated circuit fabrication process :
• [A.] To serve as mask against diffusion of dopants into silicon
• [B.] To provide surface passivation
• [C.] To isolate one device from another device
• [D.] To act as a component in MOS structures
• [E.] To provide electrical isolation of multi-level metallization systems Choose the correct answer from the options given below :

The process of extension of a single-crystal surface by growing a film in such a way that the added atoms form a continuation of the single-crystal structure is called :