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Class 11
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Physics
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Oscillations
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Medium Questions
Oscillations
Physics
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The equation for the displacement of a particle executing SHM is y = {5 sin 2
$π$
t }cm. Then the velocity at 3 cm from the mean position is
A
2
$π$
cm/s
B
3
$π$
cm/s
C
4
$π$
cm/s
D
8
$π$
cm/s
Medium
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>
The equation of the displacement of two particles making SHM are represented by
$y_{1}$
= a sin
$(ωt+ϕ)$
&
$y_{2}$
= a cos
$(ωt)$
.
The phase difference of the velocities of the two particles is :
A
$2π +ϕ$
B
$−ϕ$
C
$ϕ$
D
$ϕ−2π $
Medium
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The displacement of a particle executing S.H.M. is given by
$y=10sin(6t+π/3)$
in metre and time in seconds. The initial displacement and velocity of the particle are respectively :
A
$25m$
and
$53 m/s$
B
$15m$
and
$53 m/s$
C
$153 m$
and
$30m/s$
D
$103 /2m$
and
$30m/s$
Medium
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>
An object is attached to the bottom of a light vertical spring and set vibrating. The maximum speed of the object is
$15cm/sec$
and the period is
$628$
milliseconds. The amplitude of the motion in centimeters is:
A
$3$
B
$2$
C
$1.5$
D
$1.0$
Medium
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>
Assertion (A):
The phase difference between displacement and velocity in SHM is
$90_{∘}$
Reason (R):
The displacement is represented by y=A sin
$ω$
t and Velocity by V=A
$ω$
cos
$ω$
t.
A
Both A and R are true and R is the correct explanation of A
B
Both A and R are true and R is not the correct explanation of A
C
A is true and R is false
D
A is false and R is true
Medium
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>
A man of mass 60 kg, standing on a platform, is executing SHM in a vertical plane. The displacement from mean position is
$y=0.5sin(2πt)$
. The minimum value of frequency (
$f$
) for which the man will feel weightlessness at the highest point is :
A
$g /2π$
B
$2g /2π$
C
$g/2π $
D
$3g /2π$
Medium
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>
If the displacement
$x$
and velocity
$v$
of a particle executing S.H.M are related through the expression
$4v_{2}=25−x_{2}$
, then its maximum displacement in meters is
A
1
B
2
C
5
D
6
Medium
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>
The displacement equations of two simple harmonic oscillators are given by
$x_{1}=A_{1}cosωt$
;
$x_{2}=A_{2}sin(ωt+6π )$
. The phase difference between them is:
A
$30_{∘}$
B
$60_{∘}$
C
$90_{∘}$
D
$120_{∘}$
Medium
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>
The amplitude of oscillation of a particle is 0.05 m.If its period is 1.57s. Then the velocity at the mean position is
A
0.1 m/s
B
0.2 m/s
C
0.3 m/s
D
0.5 m/s
Medium
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>
The time period of oscillation of a particle that executes S.H.M. is
$1.2sec$
. The time starting from extreme position, its velocity will be half of its velocity at mean position is
A
$0.1$
s
B
$0.2$
s
C
$0.4$
s
D
$0.6$
s
Medium
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>