# OSCILLATIONS (TEST-1)

The composition of two simple harmonic motions of equal periods at right angle to each other and with a phase difference of  results in the displacement of the particle along ____.
straight line
circle
ellipse
figure of eight
The displacement of a particle varies according to the relation x = 4(cos ( t + sin ( t). The amplitude of the particle is ____.
8
– 4
4
Two mutually perpendicular simple harmonic vibrations have same amplitude, frequency and phase. When they superimpose, the resultant form of vibration is ____.
a circle
an ellipse
a straight line
a parabola
A particle executes SIMPLE HARMONIC MOTION with a frequency, f. the frequency with which its kinetic energy oscillates is
f/2
f
2f
4f
A simple pendulum has time period T1. The point of suspension is now moved upward according to the relation y=Kt2, (K=1 m/s2) where is the vertical displacement. The time period now becomes T2. The ratio of  is (g= 10m/s2)
5/6
6/5
1
4/5
A particle executes SIMPLE HARMONIC MOTION between x=A and x=+A. The time taken for it to go from 0 to A/2 is T1 and to go from A/2 to A is T2. Then
T1 T1>T2
T1=T2
T1=2T2
If fundamental frequency of closed pipe is 50 Hz then frequency of 2nd overtone is ____.
100 Hz
50 Hz
250 Hz
150 Hz
The frequency of fundamental tone in an open organ pipe of length 0.48 m is 320 Hz. Speed of sound is 320 m/s. Frequency of fundamental tone in closed organ pipe is ____.
153.8 Hz
160.0 Hz
320.0 Hz
143.2 Hz
The function x= A sin2 (t + B cos2 (t + C sin (t cos represent SHM for which of the option(s)
For all value of A, B and C (C=0)
A=B, C=2B
A=-B, C=2B
A=B, C=0
1, 3 and 4
A linear harmonic oscillator of force constant 2x 106 N/m and amplitude 0.01 m has a total mechanical energy of 160 J. Its
Maximum potential energy is 100 J
Maximum kinetic energy is 100 J
Maximum potential energy is 160 J
Maximum potential energy is zero
3 and 4
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OSCILLATIONS AND SIMPLE HARMONIC MOTION

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