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Consider a one-dimensional harmonic oscillator of mass m and frequency v. It’s

2
Hamiltonian is given by H = i+ kx? . What will be number of cells in the two-dimensional

phase space within the energy range between 0 and E?

(A) # (B) Ev
0 E hv
(C) ho 0) र

Which of the following is true about Pauli’s Paramagnetism as temperature T tends to zero
Kelvin?

(A) Paramagnetic susceptibility (y))is inversely proportional to temperature
(B) Paramagnetic susceptibility (yo) is directly proportional to temperature
(0) Paramagnetic susceptibility (7) is proportional to density of Fermi gas

(D) Magnetic saturation occurs at low temperatures

Consider a JFET with shorted gate drain current Ipgg =10 mA. It has a drain current
I, =4.9 mAat a gate source voltage of Vag =(—)1.8V . The minimum drain source voltage at
which the drain current becomes constant is :

(A) 5V (8) 6%
(0 1.8 ४ ൬) 2.1४

The input resistance and feedback resistance of an inverting operational amplifier is 1kQ
and 10 kQ respectively. The open loop gain is (-114dB). If unity-gain bandwidth is 2 MHz,
then closed loop bandwidth is:

(A) 200 kHz ൫ 100kHz
(© 228kHz 0) 456 kHz

An inverting operational amplifier is used to differentiate a given signal. The values of input
capacitance C and feedback resistance R,, to get a faithful differentiation for a signal of

10kHz is :

(A) C=0.047 wF and R, =1kQ (B) C=0.47 uF and R,; =10 kQ

(C) C=0.47 uwFand R, =22 kQ (D) ¢ = 14 and R,; =10kQ
A first order low-pass Butterworth filter has a passband gain of 2. If the gain at 1kHz is 1.41,
what will be the gain at 10 kHz?

(A) 2 ®) 1

(0 0.1 (D) 0.2

084/2023 8 A