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791
Frequency of red colour as compared to that of violet colour is:
A. Equal
B. Smaller
C. Greater
D. None of these
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Correct Option
Explanation
Since red has a longer wavelength than violet, its frequency is smaller.
792
The wave form of SHM is a
A. Circle
B. Sine curve
C. Tangent curve
D. Straight line
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Correct Option
Explanation
Simple harmonic motion plotted against time produces a sine (or cosine) curve.
793
What will be the sound speed, if the frequency is doubled?
A. Double
B. Unchanged
C. Half
D. Zero
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Correct Option
Explanation
In a given medium the speed of sound is independent of frequency, so doubling frequency does not change speed.
794
Which of the following is conserved in SHM?
A. Total energy
B. Electrical energy
C. K.E.
D. P.E.
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Correct Option
Explanation
In absence of non-conservative forces, the total mechanical energy (kinetic + potential) is conserved in SHM.
795
The equation of a transverse wave on a stretched string is given by y = 0.05 sin(2t/0.002 - x/0.1), where x and y are in metre and t in second. The speed of the wave is
A. 200 m s^-1
B. 50 m s^-1
C. 400 m s^-1
D. 100 m s^-1
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Correct Option
Explanation
From the argument, ω = 2/0.002 = 1000 s^-1 and k = 1/0.1 = 10 m^-1, so v = ω/k = 1000/10 = 100 m s^-1.
796
The waveform of SHM is a
A. square wave
B. sine wave
C. electromagnetic wave
D. cosine wave
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Correct Option
Explanation
SHM produces sinusoidal variation in time, commonly represented as a sine (or cosine) wave; sine wave is the standard form.
797
A plane progressive wave given by y = 20 sin π(4t - 0.06x) is travelling along a string; the wave which when combined with the above produces a stationary wave is
A. y = 20 sin π(0.06t - 4x)
B. y = 20 sin π(0.06t + 4x)
C. y = 20 sin π(4t - 0.06x)
D. y = 20 sin π(4t + 0.06x)
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Correct Option
Explanation
A stationary wave is formed by two waves of same ω and k travelling in opposite directions; the opposite-sign k term is in option B, so B is correct.
798
Monochromatic light means waves of:
A. Same wavelength
B. All of them
C. Same frequency
D. Same colour
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Correct Option
Explanation
Monochromatic light is defined as light of a single frequency (equivalently a single wavelength and colour in a given medium).
799
Food being cooked in microwave oven is an example of:
A. Beats
B. Resonance
C. Overtones
D. Stationary waves
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Correct Option
Explanation
Microwave ovens heat food by resonant absorption of microwave energy by water molecules, a form of resonance.
800
The length of a simple pendulum with 1 s period is
A. 0.50 m
B. 0.75 m
C. 0.25 m
D. 1.00 m
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Correct Option
Explanation
L = g(T/2π)^2 ≈ 9.8/(4π^2) ≈ 0.25 m for T = 1 s.
