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question_answer1)
Which of the following is a necessary and sufficient condition for S.H.M. [NCERT 1974]
A)
Constant period done
clear
B)
Constant acceleration done
clear
C)
Proportionality between acceleration and displacement from equilibrium position done
clear
D)
Proportionality between restoring force and displacement from equilibrium position done
clear
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question_answer2)
If a hole is bored along the diameter of the earth and a stone is dropped into hole [CPMT 1984]
A)
The stone reaches the centre of the earth and stops there done
clear
B)
The stone reaches the other side of the earth and stops there done
clear
C)
The stone executes simple harmonic motion about the centre of the earth done
clear
D)
The stone reaches the other side of the earth and escapes into space done
clear
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question_answer3)
The acceleration of a particle in S.H.M. is [MP PMT 1993]
A)
Always zero done
clear
B)
Always constant done
clear
C)
Maximum at the extreme position done
clear
D)
Maximum at the equilibrium position done
clear
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question_answer4)
The displacement of a particle moving in S.H.M. at any instant is given by\[y=a\sin \omega t\]. The acceleration after time \[t=\frac{T}{4}\] is (where T is the time period) [MP PET 1984]
A)
\[a\omega \] done
clear
B)
\[-a\omega \] done
clear
C)
\[a{{\omega }^{2}}\] done
clear
D)
\[-a{{\omega }^{2}}\] done
clear
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question_answer5)
The amplitude of a particle executing S.H.M. with frequency of 60 Hz is 0.01 m. The maximum value of the acceleration of the particle is [DPMT 1998; CBSE PMT 1999; AFMC 2001; Pb. PMT 2001; Pb. PET 2001, 02; CPMT 1993, 95, 04; RPMT 2005; MP PMT 2005]
A)
\[144{{\pi }^{2}}m/se{{c}^{2}}\] done
clear
B)
\[144m/se{{c}^{2}}\] done
clear
C)
\[\frac{144}{{{\pi }^{2}}}m/se{{c}^{2}}\] done
clear
D)
\[288{{\pi }^{2}}m/se{{c}^{2}}\] done
clear
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question_answer6)
A small body of mass 0.10 kg is executing S.H.M. of amplitude 1.0 m and period 0.20 sec. The maximum force acting on it is
A)
98.596 N done
clear
B)
985.96 N done
clear
C)
100.2 N done
clear
D)
76.23 N done
clear
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question_answer7)
A body executing simple harmonic motion has a maximum acceleration equal to \[24metres/se{{c}^{2}}\] and maximum velocity equal to \[16\ metres/sec\]. The amplitude of the simple harmonic motion is [MP PMT 1995; DPMT 2002; RPET 2003; Pb. PET 2004]
A)
\[\frac{32}{3}metres\] done
clear
B)
\[\frac{3}{32}metres\] done
clear
C)
\[\frac{1024}{9}metres\] done
clear
D)
\[\frac{64}{9}metres\] done
clear
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question_answer8)
For a particle executing simple harmonic motion, which of the following statements is not correct [MP PMT 1997; AIIMS 1999; Kerala PMT 2005]
A)
The total energy of the particle always remains the same done
clear
B)
The restoring force of always directed towards a fixed point done
clear
C)
The restoring force is maximum at the extreme positions done
clear
D)
The acceleration of the particle is maximum at the equilibrium position done
clear
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question_answer9)
A particle of mass 10 grams is executing simple harmonic motion with an amplitude of 0.5 m and periodic time of \[(\pi /5)\] seconds. The maximum value of the force acting on the particle is [MP PET 1999; MP PMT 2000]
A)
25 N done
clear
B)
5 N done
clear
C)
2.5 N done
clear
D)
0.5 N done
clear
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question_answer10)
The displacement of an oscillating particle varies with time (in seconds) according to the equation y (cm) = sin \[\frac{\pi }{2}\left( \frac{t}{2}+\frac{1}{3} \right)\]. The maximum acceleration of the particle is approximately [AMU 1995]
A)
\[5.21cm/{{s}^{2}}\] done
clear
B)
\[3.62cm/{{s}^{2}}\] done
clear
C)
\[1.81cm/s\] done
clear
D)
\[0.62cm/{{s}^{2}}\] done
clear
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question_answer11)
A particle moving along the x-axis executes simple harmonic motion, then the force acting on it is given by [CBSE PMT 1994]
A)
? A Kx done
clear
B)
A cos (Kx) done
clear
C)
A exp (? Kx) done
clear
D)
A Kx Where A and K are positive constants done
clear
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question_answer12)
A body is vibrating in simple harmonic motion with an amplitude of 0.06 m and frequency of 15 Hz. The velocity and acceleration of body is [AFMC 1999]
A)
\[5.65\,m/s\] and \[5.32\times {{10}^{2}}m/{{s}^{2}}\] done
clear
B)
\[6.82\,m/s\] and \[7.62\times {{10}^{2}}m/{{s}^{2}}\] done
clear
C)
\[8.91\,m/s\] and \[8.21\times {{10}^{2}}m/{{s}^{2}}\] done
clear
D)
\[9.82\,m/s\] and \[9.03\times {{10}^{2}}m/{{s}^{2}}\] done
clear
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question_answer13)
A particle executes harmonic motion with an angular velocity and maximum acceleration of 3.5 rad/sec and 7.5 m/s2 respectively. The amplitude of oscillation is [AIIMS 1999; Pb. PET 1999]
A)
0.28 m done
clear
B)
0.36 m done
clear
C)
0.53 m done
clear
D)
0.61 m done
clear
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question_answer14)
A 0.10 kg block oscillates back and forth along a horizontal surface. Its displacement from the origin is given by: \[x=(10\,cm)\cos [(10\,rad/s)\,t+\pi /2\,rad]\]. What is the maximum acceleration experienced by the block [AMU (Engg.) 2000]
A)
\[10\,\,m/{{s}^{2}}\] done
clear
B)
\[10\,\pi \,m/{{s}^{2}}\] done
clear
C)
\[\frac{10\pi }{2}\,m/{{s}^{2}}\] done
clear
D)
\[\frac{10\pi }{3}\,m/{{s}^{2}}\] done
clear
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question_answer15)
In S.H.M. maximum acceleration is at [RPET 2001; BVP 2003]
A)
Amplitude done
clear
B)
Equilibrium done
clear
C)
Acceleration is constant done
clear
D)
None of these done
clear
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question_answer16)
A particle is executing simple harmonic motion with an amplitude of 0.02 metre and frequency 50 Hz. The maximum acceleration of the particle is [MP PET 2001]
A)
\[100\,\,m/{{s}^{2}}\] done
clear
B)
\[100\,{{\pi }^{2}}\,m/{{s}^{2}}\] done
clear
C)
\[100\,\,m/{{s}^{2}}\] done
clear
D)
\[200\,{{\pi }^{2}}\,m/{{s}^{2}}\] done
clear
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question_answer17)
Acceleration of a particle, executing SHM, at it?s mean position is [MH CET (Med.) 2002]
A)
Infinity done
clear
B)
Varies done
clear
C)
Maximum done
clear
D)
Zero done
clear
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question_answer18)
Which one of the following statements is true for the speed v and the acceleration a of a particle executing simple harmonic motion [CBSE PMT 2004]
A)
When v is maximum, a is maximum done
clear
B)
Value of a is zero, whatever may be the value of v done
clear
C)
When v is zero, a is zero done
clear
D)
When v is maximum, a is zero done
clear
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question_answer19)
What is the maximum acceleration of the particle doing the SHM \[y=2\sin \left[ \frac{\pi t}{2}+\varphi \right]\]where 2 is in cm [DCE 2003]
A)
\[\frac{\pi }{2}cm/{{s}^{2}}\] done
clear
B)
\[\frac{{{\pi }^{2}}}{2}cm/{{s}^{2}}\] done
clear
C)
\[\frac{\pi }{4}cm/{{s}^{2}}\] done
clear
D)
\[\frac{\pi }{4}cm/{{s}^{2}}\] done
clear
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question_answer20)
A particle executes linear simple harmonic motion with an amplitude of 2 cm. When the particle is at 1 cm from the mean position the magnitude of its velocity is equal to that of its acceleration. Then its time period in seconds is [Kerala PET 2005]
A)
\[\frac{1}{2\pi \sqrt{3}}\] done
clear
B)
\[2\pi \sqrt{3}\] done
clear
C)
\[\frac{2\pi }{\sqrt{3}}\] done
clear
D)
\[\frac{\sqrt{3}}{2\pi }\] done
clear
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question_answer21)
In simple harmonic motion, the ratio of acceleration of the particle to its displacement at any time is a measure of [UPSEAT 2001]
A)
Spring constant done
clear
B)
Angular frequency done
clear
C)
(Angular frequency)2 done
clear
D)
Restoring force done
clear
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