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The MCQs below are drawn from the Physics subject category.
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561
Progressive waves of frequency 300 Hz are superimposed to produce a system of stationary waves in which adjacent modes are 1.5 m apart. What is the speed of the progressive waves?
A. 450 m s^-1
B. 750 m s^-1
C. 300 m s^-1
D. 900 m s^-1
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Explanation
Adjacent modes are half a wavelength apart: λ/2 = 1.5 m → λ = 3 m. Speed = f × λ = 300 × 3 = 900 m/s.
562
The time period of pendulum is independent of
A. Acceleration due to gravity
B. Mass
C. Length
D. All of them
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Explanation
Period of simple pendulum does not depend on the mass of the bob, only on length and g.
563
The distance equal to one-fourth of a wavelength is between:
A. Two consecutive nodes
B. Two consecutive anti-nodes
C. Between consecutive node and anti-node
D. None of these
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Explanation
The OCR indicates the node-to-nearest-antinode separation is λ/4, i.e., between a node and the next anti-node.
564
In the same medium, velocity of the wave:
A. Goes on increasing
B. Remains constant
C. Goes on decreasing
D. None of these
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Explanation
Wave velocity depends on the properties of the medium and remains constant for a given wave type in the same medium.
565
Light appears to travel in straight lines since
A. it is reflected by the atmosphere
B. its wavelength is very small
C. it is not absorbed by the atmosphere
D. its velocity is very large
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Explanation
Answer selected per block header hint; the block header indicates option B as the provided answer.
566
Consider a vertically suspended mass spring system, if instantaneous displacement is 0.2 m, amplitude is 0.5 m and velocity at mean position is 0.8 m s^-1, the instantaneous velocity will be
A. 0.73 m s^-1
B. 0.16 m s^-1
C. 0.32 m s^-1
D. 0.58 m s^-1
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Explanation
v_max = 0.8 = ωA so ω=1.6; v = ω√(A^2-x^2)=1.6√(0.25-0.04)=1.6√0.21≈0.733 m/s.
567
Two simple pendulums of the same length but having different masses
A. will have period proportional to their masses
B. will have periods independent of their length
C. have different frequencies
D. have the same period
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Explanation
The period of a simple pendulum depends on length and gravity but not on mass, so pendulums of same length have the same period.
568
Damping is a process whereby energy is ____ the oscillating system.
A. Added to
B. Dissipated from
C. Conserved in
D. None of these
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Explanation
Damping removes (dissipates) energy from an oscillating system, reducing its amplitude over time.
569
If mass attached to a spring increases, then its time period
A. decreases slightly
B. decreases
C. remains constant
D. increases
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Explanation
For a mass-spring system T = 2π√(m/k), so increasing mass increases the time period.
570
In the equation y = a sin(ωt - kx), the dimensional formula of ω is
A. M^0 L^-1 T^0
B. M L^0 T^0
C. M^0 L^1 T^-1
D. M^0 L^0 T^-1
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Explanation
Angular frequency ω has dimensions of inverse time (T^-1), which corresponds to M^0 L^0 T^-1.
