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The distance between two consecutive crests in a wave train produced in string is $5 m$ . If two complete waves pass through any point per second, the velocity of wave is:-

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Important Questions on Wave Motion on a String

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Beta Question Bank for Engineering: Physics>Chapter 20 - Wave Motion on a String>Exercise-1>Q 12

Two waves travelling in a medium in the

x

-direction are represented by

y_{1} = A \sin (α t - β x)

and

y_{2} = A \cos (β x + α t - \frac{π}{4})

, where

y_{1}

and

y_{2}

are the displacements of the particles of the medium,

t

is time, and

α

and

β

are constants. The two waves have different:-

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Beta Question Bank for Engineering: Physics>Chapter 20 - Wave Motion on a String>Exercise-1>Q 14

A transverse wave is described by the equation

Y = Y_{0} \sin 2 π (f t - \frac{X}{λ})

. The maximum particle velocity is equal to four times the wave velocity, if

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Beta Question Bank for Engineering: Physics>Chapter 20 - Wave Motion on a String>Exercise-1>Q 15

The equation of displacement of two waves are given as

y_{1} = 10 \sin (3 π t + \frac{π}{3})

and

y_{2} = 5 (\sin 3 π t + \sqrt{3} \cos 3 π t)

, then what is the ratio of their amplitude:-

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Beta Question Bank for Engineering: Physics>Chapter 20 - Wave Motion on a String>Exercise-1>Q 16

A plane progressive wave is represented by the equation

y = 0.25 \cos (2 π t - 2 π x)

. The equation of a wave is with double the amplitude and half frequency but travelling in the opposite direction will be:-

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Beta Question Bank for Engineering: Physics>Chapter 20 - Wave Motion on a String>Exercise-1>Q 18

The extension in a string obeying Hooke’s law is

x .

The speed of sound in the stretched string is

v

. If the extension in the string is increased to

1.5 x

, the speed of sound will be

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Beta Question Bank for Engineering: Physics>Chapter 20 - Wave Motion on a String>Exercise-1>Q 19

The linear density of a vibrating string is

1.3 \times 10^{- 4}

kg m^{- 1}

. A transverse wave is propagating on the string and is described by the equation

y = 0.021 \sin (x + 30 t)

, where

x

and

y

are measured in meter and

t

in second. The tension in the string is,

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Beta Question Bank for Engineering: Physics>Chapter 20 - Wave Motion on a String>Exercise-1>Q 22

A uniform rope having some mass hinges vertically from a rigid support. A transverse wave pulse is produced at the lower end. The speed

(v)

of the wave pulse varies with height

(h)

from the lower end as:-

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Beta Question Bank for Engineering: Physics>Chapter 20 - Wave Motion on a String>Exercise-1>Q 23

A uniform rope having some mass hinges vertically from a rigid support. A transverse wave pulse is produced at the lower end. The speed $(v)$ of the wave pulse varies with height $(h)$ from the lower end as:-

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The distance between two consecutive crests in a wave train produced in string is 5 m. If two complete waves pass through any point per second, the velocity of wave is:-

Important Questions on Wave Motion on a String

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The distance between two consecutive crests in a wave train produced in string is $5 m$ . If two complete waves pass through any point per second, the velocity of wave is:-