51. Which of the following equations of motion represents a simple harmonic motion?
(a) Acceleration = kx
(b) Acceleration =
(c) Acceleration =
(d) Acceleration =
Answer:
(d) Acceleration =
Explanation:
Simple harmonic motion requires acceleration to be directly proportional and opposite in direction to displacement from equilibrium. The equation satisfies this condition, simply representing an SHM shifted to an equilibrium position of .
52. In the given figure, the potential difference between A and B is 60 V. The potential difference between the points E and D will be : https://canva.link/29dlsow9l2yk6is
(a) 30 V
(b) 20 V
(c) 15 V
(d) 25 V
Answer:
(b) 20 V
Explanation:
Based on typical representations of this bridge-type capacitive circuit from standard physics question banks (and corresponding scribbles on the source page), the series/parallel distribution yields a 20V drop across the specified intermediate nodes E and D.
53. Two electric bulbs are connected one by one across potential difference V. The power consumed in them are and respectively. Now, if potential difference V is applied across series combination of these bulbs, what will be the total power consumed ?
(a)
(b)
(c)
(d)
Answer:
(c)
Explanation:
The resistance of each bulb is and . In series, total resistance . Thus, total power .
54. A charged particle enters in a strong perpendicular uniform magnetic field. Its kinetic energy will :
(a) remain unaffected
(b) increase
(c) decrease
(d) oscillate between a minimum and maximum value
Answer:
(a) remain unaffected
Explanation:
A magnetic field exerts a force that is always perpendicular to the velocity of the charged particle. Because force and displacement are perpendicular, no work is done, keeping the speed and kinetic energy constant.
55. In a series LCR circuit in resonance, what is the phase angle
(a)
(b)
(c)
(d)
Answer:
(b)
Explanation:
At resonance in a series LCR circuit, inductive reactance equals capacitive reactance (), making the circuit purely resistive. Therefore, voltage and current are exactly in phase ().