Alpha Question Bank for Medical: Physics>Chapter 19 - Simple Harmonic Motion>Exercise-1>Q 83

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A particle starts $SHM$ from the mean position. Its amplitude is $a$ and total energy $E$ . At one instant its kinetic energy is $\frac{3 E}{4}$ . Its displacement at that instant 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-1>Q 84

A particle executes simple harmonic motion with a frequency $f$ . The frequency with which kinetic energy oscillates is

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Alpha Question Bank for Medical: Physics>Chapter 19 - Simple Harmonic Motion>Exercise-1>Q 85

A particle of mass

m

is hanging vertically by an ideal spring of force constant

k,

If mass is made to oscillate vertically, its total energy is:

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Alpha Question Bank for Medical: Physics>Chapter 19 - Simple Harmonic Motion>Exercise-1>Q 86

A body is moving in a room with a velocity of

20 m s^{- 1}

perpendicular to the two walls separated by

5

meters. There is no friction and the collisions with the walls are elastic. The motion of the body is:

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Alpha Question Bank for Medical: Physics>Chapter 19 - Simple Harmonic Motion>Exercise-1>Q 87

The amplitude of a particle executing SHM is made three-fourth keeping its time period constant. What will be the total energy of the particle in terms of its initial total energy

E

? (Assume potential energy is zero at the mean position)

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Alpha Question Bank for Medical: Physics>Chapter 19 - Simple Harmonic Motion>Exercise-1>Q 88

A particle executes SHM with frequency

f

. The frequency of its kinetic energy is

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Alpha Question Bank for Medical: Physics>Chapter 19 - Simple Harmonic Motion>Exercise-1>Q 89

When the kinetic energy of a body executing SHM is

\frac{1}{3}

of the potential energy, the displacement of the body is

x

percent of the amplitude where

x

is,

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Alpha Question Bank for Medical: Physics>Chapter 19 - Simple Harmonic Motion>Exercise-1>Q 90

A body executing SHM passes through its equilibrium. At this instant, it has,

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Alpha Question Bank for Medical: Physics>Chapter 19 - Simple Harmonic Motion>Exercise-1>Q 91

The total mechanical energy of a spring-mass system in simple harmonic motion is,

E = \frac{1}{2} m ω^{2} A^{2}

. Suppose the oscillating particle is replaced by another particle of double mass while the amplitude

A

remains the same. The new mechanical energy will,