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The MCQs below are drawn from the Physics subject category.
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471
Two waves of slightly different frequencies and traveling in same direction produce
A. Interference.
B. Beats.
C. Stationary waves.
D. Polarization.
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Explanation
Two waves of slightly different frequencies traveling together produce beats due to periodic constructive and destructive interference at the beat frequency.
472
Two particles execute SHM of same amplitude and frequency along the same straight line. They pass one another when going in opposite directions, each time their displacement is half of their amplitude. The phase difference between them is
A. 30°
B. 120°
C. 90°
D. 60°
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Explanation
At x = A/2 the phase angles are 30° and 150° for opposite velocities, so the phase difference is 150°−30° = 120°.
473
The displacement y (cm) is given in terms of time t (sec) by the equation y = 3 sin 314 t + 4 cos 314 t. The amplitude of S.H.M is
A. 4
B. 3
C. 5
D. 1
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Explanation
Amplitude = √(3^2 + 4^2) = 5 for a sinusoid composed of those orthogonal components.
474
A 5.5 m length of string has a mass of 0.035 kg. If the tension in the string is 77 N, the speed of a wave on the string is
A. 102 m/s
B. 77 m/s
C. 110 m/s
D. 165 m/s
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Explanation
Linear mass density μ = 0.035/5.5 ≈ 0.00636 kg/m; wave speed v = sqrt(T/μ) = sqrt(77/0.00636) ≈ 110 m/s.
475
Huygen's principle states that:
A. Light travels in straight line
B. Light has dual nature
C. Either of these
D. None of these
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Explanation
Huygens' principle describes wavefront propagation via secondary wavelets; none of the given options accurately state the principle.
476
Restoring force in SHM is
A. centripetal
B. non-conservative
C. frictional
D. conservative
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Explanation
The restoring force in ideal SHM is derived from a potential energy function (e.g., -kx), making it conservative.
477
The motion of a particle is said to be SHM, if
A. its acceleration is proportional to, and in the opposite direction to the displacement
B. its displacement x is related to its velocity given as v = d x/dt
C. its displacement x is always given as x = X0 sin ωt
D. its acceleration is always constant and is directed at right angle to its motion
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Explanation
SHM is defined by acceleration a being proportional to and opposite in direction to displacement (a = -ω^2 x).
478
In the case of forced oscillations, the frequency of oscillation is
A. the natural damped frequency
B. some other frequency
C. the natural undamped frequency
D. the frequency of the external periodic force
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Explanation
Forced oscillations occur at the frequency of the external driving periodic force.
479
The relation between frequency n, wavelength λ and velocity v of propagation of a wave is
A. n = vλ
B. n = v/λ
C. n = 1/v
D. n = λ/v
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Explanation
Frequency, wavelength and speed are related by f = v/λ (here n represents frequency).
480
Which of the following characteristics of a wave is independent of the others?
A. Amplitude
B. Frequency
C. Speed
D. Wavelength
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Explanation
Amplitude is independent of frequency and wavelength and determines the energy/height of the wave rather than its temporal/spatial properties.
