# If the time of mean position from amplitude (extreme) position is $$6$$ seconds, then the frequency of SHM will be: 1.  $$0.01~\text{Hz}$$ 2.  $$0.02~\text{Hz}$$ 3.  $$0.03~\text{Hz}$$ 4.  $$0.04~\text{Hz}$$

Subtopic:  Simple Harmonic Motion |
68%
From NCERT
AIPMT - 1998
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A particle executing simple harmonic motion of amplitude $$5~\text{cm}$$ has a maximum speed of $$31.4~\text{cm/s}.$$ The frequency of its oscillation will be:
1. $$1~\text{Hz}$$
2. $$3~\text{Hz}$$
3. $$2~\text{Hz}$$
4. $$4~\text{Hz}$$

Subtopic:  Linear SHM |
86%
From NCERT
AIPMT - 2005
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Two spherical bobs of masses $$M_A$$ and $$M_B$$ are hung vertically from two strings of length $$l_A$$ and $$l_B$$ respectively. If they are executing SHM with frequency as per the relation $$f_A=2f_B,$$ Then:
1. $$l_A = \frac{l_B}{4}$$
2. $$l_A= 4l_B$$
3. $$l_A= 2l_B~\&~M_A=2M_B$$
4. $$l_A= \frac{l_B}{2}~\&~M_A=\frac{M_B}{2}$$

Subtopic:  Angular SHM |
72%
From NCERT
AIPMT - 2000
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The circular motion of a particle with constant speed is:

 1 Periodic and simple harmonic 2 Simple harmonic but not periodic 3 Neither periodic nor simple harmonic 4 Periodic but not simple harmonic
Subtopic:  Types of Motion |
80%
From NCERT
AIPMT - 2005
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The frequency of a spring is $$n$$ after suspending mass $$M.$$ Now, after mass $$4M$$ mass is suspended from the spring, the frequency will be:
 1 $$2n$$ 2 $$n/2$$ 3 $$n$$ 4 none of the above
Subtopic:  Spring mass system |
81%
From NCERT
AIPMT - 1998
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Which one of the following statements is true for the speed $$v$$ and the acceleration $$a$$ of a particle executing simple harmonic motion?
 1 The value of $$a$$ is zero whatever may be the value of $$v$$. 2 When $$v$$ is zero, $$a$$ is zero. 3 When $$v$$ is maximum, $$a$$ is zero. 4 When $$v$$ is maximum, $$a$$ is maximum.
Subtopic:  Simple Harmonic Motion |
86%
From NCERT
AIPMT - 2004
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A spring elongates by a length 'L' when a mass 'M' is suspended to it. Now a tiny mass 'm' is attached to the mass 'M' and then released. The new time period of oscillation will be:

1.  $$2 \pi \sqrt{\frac{\left(\right. M + m \left.\right) l}{Mg}}$$

2. $$2 \pi \sqrt{\frac{ml}{Mg}}$$

3. $$2 \pi \sqrt{L / g}$$

4. $$2 \pi \sqrt{\frac{Ml}{\left(\right. m + M \left.\right) g}}$$

Subtopic:  Spring mass system |
59%
From NCERT
AIPMT - 1999
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The frequency of a simple pendulum in a free-falling lift will be:
1. zero
2. infinite
3. can't say
4. finite

Subtopic:  Angular SHM |
67%
From NCERT
AIPMT - 1999
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When a mass is suspended separately by two different springs, in successive order, then the time period of oscillations is $$t _1$$ and $$t_2$$ respectively. If it is connected by both springs as shown in the figure below, then the time period of oscillation becomes $$t_0.$$ The correct relation between $$t_0,$$ $$t_1$$ & $$t_2$$ is:

1. ${{\mathrm{t}}_{0}}^{2}={{\mathrm{t}}_{1}}^{2}+{{\mathrm{t}}_{2}}^{2}$

2. ${{\mathrm{t}}_{0}}^{-2}={{\mathrm{t}}_{1}}^{-2}+{{\mathrm{t}}_{2}}^{-2}$

3. ${{\mathrm{t}}_{0}}^{-1}={{\mathrm{t}}_{1}}^{-1}+{{\mathrm{t}}_{2}}^{-1}$

4. ${\mathrm{t}}_{0}={\mathrm{t}}_{1}+{\mathrm{t}}_{2}$

Subtopic:  Combination of Springs |
69%
From NCERT
AIPMT - 2002
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The displacement between the maximum potential energy position and maximum kinetic energy position for a particle executing simple harmonic motion is:
1. $$\pm \frac{a}{2}$$
2. $$+a$$
3. $$\pm a$$
4. $$-1$$

Subtopic:  Energy of SHM |
74%
From NCERT
AIPMT - 2002
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