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For a sine wave passing through a medium, let $y$ be the displacement of a particle, $v$ be its velocity and a be its acceleration:-

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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-2>Q 10

P, Q

and

R

are three particles of a medium which lie on the

x

-axis. A sine wave of wavelength

λ

is travelling through the medium in the

x

-direction.

P

and

Q

always have the same speed, while

P

and

R

always have the same velocity. The minimum distance between:-

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Beta Question Bank for Engineering: Physics>Chapter 20 - Wave Motion on a String>Exercise-2>Q 11

A plane progressive wave of frequency

25 Hz

, amplitude

2.5 \times 10^{- 5} m

and initial phase zero moves along the negative

x

-direction with a velocity of

300 {ms}^{- 1}

A

and

B

are two points

6 m

apart on the line of propagation of the wave. At any instant the phase difference between

A

and

B

ϕ

. The maximum difference in the displacements of particle at

A

and

B

Δ .

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Beta Question Bank for Engineering: Physics>Chapter 20 - Wave Motion on a String>Exercise-2>Q 12

A stationary wave set up on a string has the equation

y = (2 mm) \sin [(6.25 m^{- 1}) x \cos (ω t)]

. This stationary wave is created by two identical waves, of amplitude

A

each moving in opposite directions along the string. Then,

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Beta Question Bank for Engineering: Physics>Chapter 20 - Wave Motion on a String>Exercise-2>Q 13

Sounds from two identical sources

S_{1}

and

S_{2}

reach a point

P

. When the sounds reach directly, and in the same phase, the intensity at

P

I_{0}

. The power of

S_{1}

is now reduced by

64 %

and the phase difference between

S_{1}

and

S_{2}

is varied continuously. The maximum and minimum intensities recorded at

P

are now

I_{\max}

and

I_{\min}

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Beta Question Bank for Engineering: Physics>Chapter 20 - Wave Motion on a String>Exercise-2>Q 14

Two audio speakers are kept some distance apart and are driven by the same amplifier system. A person is sitting at a place

6.0 m

from one of the speakers and

6.4 m

from the other. If the sound signal is continuously varied from

500 Hz

5000 Hz

, then the frequencies for which there is a destructive interference at the place of the listener? Speed of sound in air

= 320 m s^{- 1}

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Beta Question Bank for Engineering: Physics>Chapter 20 - Wave Motion on a String>Exercise-3>Q 18

Determine resultant amplitude (in

mm

) after super position of given four waves with help of phasor diagram.

$y_{1} = 16 \sin ω t mm, y_{2} = 3 \sin (ω t - \frac{π}{2}) mm, y_{3} = 7 \sin (ω t + \frac{π}{2}) mm$ & $y_{4} = - 13 \sin ω t mm$

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Beta Question Bank for Engineering: Physics>Chapter 20 - Wave Motion on a String>Exercise-3>Q 19

Calculate the ratio of intensity of wave train

A

to wave train

B

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Beta Question Bank for Engineering: Physics>Chapter 20 - Wave Motion on a String>Exercise-3>Q 23

In the given figure the string has mass $4.5 g$ . If the time taken by a transverse pulse produced at the floor to reach the pulley is $10 p$ ms then $p$ is : $(g = 10 {m s}^{- 2})$ .

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For a sine wave passing through a medium, let y be the displacement of a particle, v be its velocity and a be its acceleration:-

Important Questions on Wave Motion on a String

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For a sine wave passing through a medium, let $y$ be the displacement of a particle, $v$ be its velocity and a be its acceleration:-