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Two particles are oscillating along two close parallel straight lines side by side, with the same frequency and amplitudes. They pass each other, moving in opposite directions when their displacement is half of the amplitude. The mean positions of the two particles lie on a straight line perpendicular to the paths of the two particles. The phase difference is

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Important Questions on Simple Harmonic Motion

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Alpha Question Bank for Medical: Physics>Chapter 19 - Simple Harmonic Motion>Exercise-3>Q 6

The oscillation of a body on a smooth horizontal surface is represented by the equation, $x = A \cos (ω t)$ , where $x =$ displacement at time $t$ , $ω$ $=$ frequency of oscillation. Which one of the following graph shows correctly the variation $a$ with $t$ ?

Here, $a =$ acceleration at time $t$ ,

$T =$ time period.

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Alpha Question Bank for Medical: Physics>Chapter 19 - Simple Harmonic Motion>Exercise-3>Q 7

When two displacements represented by

y_{1} = a \sin (ω t)

y_{2} = b \cos (ω t)

are superimposed, the motion is

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Alpha Question Bank for Medical: Physics>Chapter 19 - Simple Harmonic Motion>Exercise-3>Q 8

A particle is executing SHM along a straight line. Its velocities at distances

x_{1}

and

x_{2}

from the mean position are

v_{1}

and

v_{2}

, respectively. Its time period is

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Alpha Question Bank for Medical: Physics>Chapter 19 - Simple Harmonic Motion>Exercise-3>Q 9

A particle is executing a simple harmonic motion. Its maximum acceleration is

α

And maximum velocity is

β .

Then, its time period of vibration will be

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Alpha Question Bank for Medical: Physics>Chapter 19 - Simple Harmonic Motion>Exercise-3>Q 10

A body of mass

m

is attached to the lower end of a spring whose upper end is fixed. The spring has negligible mass. When the mass

m

is slightly pulled down and released, it oscillates with a time period of

3 s

. When the mass

m

is increased by

1 kg,

the time period of oscillations becomes

5 s

. The value of

m in kg

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Alpha Question Bank for Medical: Physics>Chapter 19 - Simple Harmonic Motion>Exercise-3>Q 11

A particle executes linear simple harmonic motion with an amplitude 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

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Alpha Question Bank for Medical: Physics>Chapter 19 - Simple Harmonic Motion>Exercise-3>Q 12

A pendulum is hung from the roof of a sufficiently high building and is moving freely to and fro like a simple harmonic oscillator. The acceleration of the bob of the pendulum is

20 m s^{- 2}

at a distance of

5 m

from the mean position. The time period of oscillation is

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Alpha Question Bank for Medical: Physics>Chapter 19 - Simple Harmonic Motion>Exercise-3>Q 13

A mass

M

, attached to a horizontal spring, executes

SHM

with amplitude

A_{1} .

When the mass

M

passes through its mean position, then a smaller mass

m

is placed over it and both of them move together with amplitude

A_{2}

. The ratio of

(\frac{A_{1}}{A_{2}})

Important Questions on Simple Harmonic Motion

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