When a string is divided into three segments of lengths l 1 , l 2 and l 3 the fundamental frequencies of these three segments are ν 1 , ν 2 and ν 3 respectively. The original fundamental frequency ν of the string is

1 ν = 1 ν 1 + 1 ν 2 + 1 ν 3

A travelling harmonic wave is represented by the equation y x , t = 10 - 3 sin 50 t + 2 x , where x and y are in meter and t is in seconds. Which of the following is a correct statement about the wave?

The wave is propagating along the negative x -axis with speed 25 m s - 1

The wave is propagating along the positive x -axis with speed 25 m s - 1

The wave is propagating along the positive x -axis with speed 100 m s - 1

The wave is propagating along the negative x -axis with speed 100 m s - 1

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Three consecutive flash photographs of a travelling wave on a string are reproduced in the figure here? The following observations are made. Mark the one which is correct. (Mass per unit length of the string $= 3 g {cm}^{- 1} .$ )

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Important Questions on Wave Motion on a String

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Alpha Question Bank for Medical: Physics>Chapter 20 - Wave Motion on a String>Exercise-4>Q 5

A heavy ball is suspended from the ceiling of a motor car through light string. A transverse pulse travels at a speed of

60 cm s^{- 1}

on the string when the car is at rest and

62 cm s^{- 1}

when the car accelerates on a horizontal road the acceleration of the car is: (Take

g = 10 m / s^{2} .

)

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Alpha Question Bank for Medical: Physics>Chapter 20 - Wave Motion on a String>Exercise-4>Q 6

A copper wire is held at the two ends by rigid supports. At $30 ° C$ the wire is just taut, with negligible tension. The speed of transverse waves in this wire at $10 ° C$ is:

$(α = 1.7 \times 10^{- 5} ° C, Y = 1.3 \times 10^{11} N / m^{2}, d = 9 \times 10^{3} kg / m^{3}) .$

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Alpha Question Bank for Medical: Physics>Chapter 20 - Wave Motion on a String>Exercise-4>Q 7

Two small boats are

10 m

apart on a lake. Each goes up and down with a period of

4.0

seconds, due to the wave motion on the surface of water. When one boat is at its highest point, the other boat is at its lowest point. Both boats are always within a single cycle of the waves. The speed of the wave is

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Alpha Question Bank for Medical: Physics>Chapter 20 - Wave Motion on a String>Exercise-4>Q 8

A sinusoidal wave with amplitude

y_{m}

is travelling with speed

V

on a string with linear density

ρ

. The angular frequency of the wave is

ω

. The following conclusions are drawn. Mark the one which is correct.

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Alpha Question Bank for Medical: Physics>Chapter 20 - Wave Motion on a String>Exercise-4>Q 9

Sinusoidal waves

5.00 cm

in amplitude are to be transmitted along a string having a linear mass density equal to

4 .00 \times 10^{- 2} kg m^{- 1}

. If the source can deliver a maximum power of

90 W

and the string is under a tension of

100 N

, then the highest frequency at which the source can operate is (Take

π^{2} = 10

)

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Alpha Question Bank for Medical: Physics>Chapter 20 - Wave Motion on a String>Exercise-4>Q 10

A wave pulse, travelling on a two-piece string, gets partially reflected and partially transmitted at the junction. The reflected wave is inverted in shape as compared to the incident one. If the incident wave has wavelength

λ

and the transmitted wave

λ^{'}

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Alpha Question Bank for Medical: Physics>Chapter 20 - Wave Motion on a String>Exercise-4>Q 11

Equations of a stationary wave and a travelling wave are

y_{1} = a \sin k x \cos ω t

and

y_{2} = a \sin (ω t - k x) .

The phase difference between two points

x_{1} = \frac{π}{3 k}

and

x_{2} = \frac{3 π}{2 k}

are

ϕ_{1}

and

ϕ_{2}

respectively, for the two waves. The ratio

ϕ_{1} / ϕ_{2}

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Alpha Question Bank for Medical: Physics>Chapter 20 - Wave Motion on a String>Exercise-4>Q 12

An observer standing at the sea-coast observes

54

waves reaching the coast per minute. If the wavelength of wave is

10 m,

the velocity of wave is

Three consecutive flash photographs of a travelling wave on a string are reproduced in the figure here? The following observations are made. Mark the one which is correct. (Mass per unit length of the string =3 g cm-1.)

Important Questions on Wave Motion on a String

Learn and Prepare for any exam you want !

Three consecutive flash photographs of a travelling wave on a string are reproduced in the figure here? The following observations are made. Mark the one which is correct. (Mass per unit length of the string $= 3 g {cm}^{- 1} .$ )