# A simple pendulum is oscillating without damping. When the displacement of the bob is less than maximum, its acceleration vector $\stackrel{\to }{a}$ is correctly shown in:  1.     2. 3. 4.

Subtopic:  Angular SHM |
From NCERT
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A second's pendulum is mounted in a rocket. Its period of oscillation decreases when the rocket:

(1) Comes down with uniform acceleration

(2) Moves around the earth in a geostationary orbit

(3) Moves up with a uniform velocity

(4) Moves up with the uniform acceleration

Subtopic:  Simple Harmonic Motion |
59%
From NCERT
PMT - 1994
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There is a simple pendulum hanging from the ceiling of a lift. When the lift is stand still, the time period of the pendulum is T. If the resultant acceleration becomes g/4, then the new time period of the pendulum is

(1) 0.8 T

(2) 0.25 T

(3) 2 T

(4) 4 T

Subtopic:  Angular SHM |
82%
From NCERT
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A block $$P$$ of mass $$m$$ is placed on a frictionless horizontal surface. Another block $$Q$$ of same mass is kept on $$P$$ and connected to the wall with the help of a spring of spring constant $$k$$ as shown in the figure. $$\mu_s$$ is the coefficient of friction between $$P$$ and $$Q$$. The blocks move together performing SHM of amplitude $$A$$. The maximum value of the friction force between $$P$$ and $$Q$$ will be:

1. $$kA$$
2. $$\frac{kA}{2}$$
3. zero
4. $$\mu_s mg$$

Subtopic:  Spring mass system |
From NCERT
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A small sphere carrying a charge ‘q’ is hanging in between two parallel plates by a string of length L. Time period of pendulum is T0. When parallel plates are charged, the electric field between the plates is E and time period changes to T. The ratio T/T0 is equal to

(1) ${\left(\frac{g+\frac{qE}{m}}{g}\right)}^{1/2}$           (2) ${\left(\frac{g}{g+\frac{qE}{m}}\right)}^{3/2}$

(3) ${\left(\frac{g}{g+\frac{qE}{m}}\right)}^{1/2}$           (4) None of these

Subtopic:  Simple Harmonic Motion |
64%
From NCERT
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A simple pendulum has a time period ${\mathrm{T}}_{1}$ when on the earth’s surface, and ${\mathrm{T}}_{2}$ when taken to a height R above the earth’s surface, where R is the radius of the earth. The value of ${\mathrm{T}}_{2}/{\mathrm{T}}_{1}$ is:

1. 1

2. $\sqrt{2}$

3. 4

4. 2

Subtopic:  Simple Harmonic Motion |
50%
From NCERT
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A particle executes linear simple harmonic motion with an amplitude of of 3 cm. When the particle is at 2 cm from the mean position, the magnitude of its velocity  is equal to that of its acceleration. Then, its time period in seconds is

(a) $\sqrt{\frac{5}{\pi }}$

(b)$\sqrt{\frac{5}{2\mathrm{\pi }}}$

(c)$\frac{4\mathrm{\pi }}{\sqrt{5}}$

(d)$\frac{2\mathrm{\pi }}{\sqrt{3}}$

Subtopic:  Simple Harmonic Motion |
76%
From NCERT
NEET - 2017
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A body mass m is attached to the lower end of a spring whose upper end is fixed. The spring has neglible mass. When the mass m is slightly pulled down and released, it oscillates with a time period of 3s. When the mass m is increased by 1 kg, the time period of oscillations becomes 5s. The value of m in kg is-

(1) $\frac{3}{4}$

(2)$\frac{4}{3}$

(3) $\frac{16}{9}$

(4) $\frac{9}{16}$

Subtopic:  Combination of Springs |
79%
From NCERT
NEET - 2016
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When two displacements represented by y1=asin(ωt) and y2=bcos(ωt) are superimposed,the motion is -

(1) not a simple harmonic

(2) simple harmonic with amplitude a/b

(3) simple harmonic with amplitude

(4) simple harmonic with amplitude (a+b)/2

Subtopic:  Simple Harmonic Motion |
91%
From NCERT
NEET - 2015
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The damping force on an oscillator is directly proportional to the velocity.The units of the constant of proportionality are

(1)

(2)

(3)

(4)

Subtopic:  Damped Oscillations (OLD NCERT) |
68%
From NCERT
NEET - 2012
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