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721
A particle is executing S.H.M. Then the graph of velocity as a function of displacement is
A. hyperbola
B. ellipse
C. circle
D. straight line
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Explanation
For SHM x = A cos ωt and v = −Aω sin ωt, which satisfy (x/A)^2 + (v/Aω)^2 = 1, the v–x plot is an ellipse.
722
Any frequency higher than the fundamental frequency of a sound is known as
A. beat
B. acoustics
C. shockwaves
D. overtone
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Explanation
An overtone is any frequency higher than the fundamental frequency of a sound.
723
If the wavelength of a wave is 1 cm and its period is 0.02 s, velocity of the wave will be
A. 100 cm s^-1
B. 50 cm s^-1
C. 60 cm s^-1
D. 20 cm s^-1
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Explanation
Frequency = 1/period = 1/0.02 = 50 Hz; velocity = frequency × wavelength = 50 × 1 cm = 50 cm s^-1.
724
In simple harmonic motion, we have the conservation of
A. P.E.
B. total energy
C. electrical energy
D. K.E.
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Explanation
In ideal SHM, kinetic and potential energy interchange while the total mechanical energy is conserved.
725
A particle executes an undamped SHM of time period T. Then the time period with which the potential energy changes is
A. T
B. T/4
C. T/2
D. 2T
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Explanation
Potential energy depends on displacement squared (x^2) so it completes two cycles while displacement completes one, giving period T/2.
726
In transverse waves, the individual particles of the medium move:
A. In circles
B. Perpendicular to the direction of travel
C. Parallel to the direction of travel
D. None of these
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Explanation
In transverse waves particle displacement is perpendicular to wave propagation, hence option B is correct.
727
A particle, moving along x-axis executes S.H.M. Then the force acting on it is given by
A. -Akx
B. Akx
C. A cos kx
D. Ae+
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Explanation
For simple harmonic motion the restoring force is proportional to displacement and directed towards equilibrium, F = -k'x; here represented as -Akx.
728
The speed of the secondary wavelets as mentioned in Huygen's principle is the speed of propagation of the wave itself:
A. Equal to
B. Greater than
C. Smaller than
D. None of these
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Explanation
Huygens' principle assumes each point emits secondary wavelets that travel at the same speed as the original wave.
729
A wave of frequency 250 Hz is produced in iron in which its velocity is 4800 m/s. Now it passes into air in which its velocity is 332 m/s. Its wavelength in iron will be
A. 4800 / (250 × 332)
B. 4800 × 332 / 250
C. 332 / 250
D. 4800 / 250
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Explanation
Wavelength in a medium is λ = v/f, so in iron λ = 4800 m/s ÷ 250 Hz = 4800/250.
730
An example of simple harmonic motion is
A. motion of bicycle
B. motion of a bee
C. motion of simple pendulum
D. fast moving cricket ball
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Explanation
A simple pendulum (small oscillations) exhibits simple harmonic motion.