The displacement produced by a simple harmonic wave is y = 10 π sin 200 π t - π x 17 . Then find the time period and maximum velocity of the particle. ( x → m , y → cm , t → sec )

According to the question, it is given that y = 10 π sin 200 πt - πx 17 … i We know that, from wave equation y = A sin ω t - k x … ii , where, A = Amplitude ω = Angular frequency And t = Time. Now comparing equation ( i ) with ( ii ) , we get, A = 10 π cm ω = 200 π rad s - 1 ∵ ω = 2 π T ∴ T = 2 π ω = 2 π 200 π = 1 100 s Thus time period of the particle , T = 1 100 s Now, maximum speed of the particle, v m a x = A ω = 10 π × 10 - 2 × 200 π = 20 ms - 1 . Hence, maximum speed of particle v m a x = 20 ms - 1

The displacement produced by a simple harmonic wave is y = 10 π sin 200 π t - π x 17 . Then find the time period and maximum velocity of the particle. ( x → m , y → cm , t → sec )

According to the question, it is given that y = 10 π sin 200 πt - πx 17 … i We know that, from wave equation y = A sin ω t - k x … ii , where, A = Amplitude ω = Angular frequency And t = Time. Now comparing equation ( i ) with ( ii ) , we get, A = 10 π cm ω = 200 π rad s - 1 ∵ ω = 2 π T ∴ T = 2 π ω = 2 π 200 π = 1 100 s Thus time period of the particle , T = 1 100 s Now, maximum speed of the particle, v m a x = A ω = 10 π × 10 - 2 × 200 π = 20 ms - 1 . Hence, maximum speed of particle v m a x = 20 ms - 1

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The displacement produced by a simple harmonic wave is $y = \frac{10}{π} \sin (200 π t - \frac{π x}{17})$ . Then find the time period and maximum velocity of the particle. $(x \to m, y \to cm, t \to \sec)$

Important Questions on Wave Motion on a String

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Beta Question Bank for Medical: Physics>Chapter 20 - Wave Motion on a String>BEGINNER'S BOX - 2>Q 4

In the given figure, the string has mass $4.5 g$ . Find the time taken by a transverse pulse produced at the floor to reach the pulley $(g = 10 {ms}^{- 2}) .$

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Beta Question Bank for Medical: Physics>Chapter 20 - Wave Motion on a String>BEGINNER'S BOX - 2>Q 5

A wave moves with speed

300 {ms}^{- 1}

on a wire which is under a tension of

500 N

. Find how much the tension must be changed to increase the speed to

360 {ms}^{- 1}

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Beta Question Bank for Medical: Physics>Chapter 20 - Wave Motion on a String>BEGINNER'S BOX - 2>Q 6

A string of mass

2.50 Kg

is under a tension of

200 N

. The length of the stretched string is

20.0 m

. If the transverse jerk is struck at one end of the string, how long does the disturbance take to reach the other end?

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Beta Question Bank for Medical: Physics>Chapter 20 - Wave Motion on a String>BEGINNER'S BOX - 2>Q 7

A uniform rope of mass $0.1 kg$ and length $2.45 m$ hangs from a ceiling as shown in diagram.

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(a) Find speed of transverse wave in the rope at a point $0.5 m$ distance from the lower end.

(b) Calculate time taken by a transverse wave to travel the full length of rope.

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Beta Question Bank for Medical: Physics>Chapter 20 - Wave Motion on a String>BEGINNER'S BOX - 3>Q 1

Two waves having same frequency and same amplitude are superimposed at a point. Find the phase difference between two waves if resultant amplitude is :

(i) 2a (ii) $\sqrt{2} a$ (iii) a (iv) Zero

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Beta Question Bank for Medical: Physics>Chapter 20 - Wave Motion on a String>BEGINNER'S BOX - 3>Q 2

During interference phenomenon of two wave it is observed that maximum amplitude to minimum amplitude ratio is 9 : 7. Find the intensity ratio of waves.

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Beta Question Bank for Medical: Physics>Chapter 20 - Wave Motion on a String>BEGINNER'S BOX - 3>Q 3

During interference phenomenon of two wave it is observed that amplitude ratio of waves is 5 : 4. Find the maximum to minimum intensity ratio of resulting wave.

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Beta Question Bank for Medical: Physics>Chapter 20 - Wave Motion on a String>BEGINNER'S BOX - 3>Q 4

Two sound waves emitted by one sound source is approaching at a point through two path. When path difference is 36 cm or 60 cm, then points are silence point if speed of sound in air 330 m/sec then find the frequency of sound source.

The displacement produced by a simple harmonic wave is y=10πsin 200πt-π x17. Then find the time period and maximum velocity of the particle. (x→m, y→cm, t→sec)

Important Questions on Wave Motion on a String

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The displacement produced by a simple harmonic wave is $y = \frac{10}{π} \sin (200 π t - \frac{π x}{17})$ . Then find the time period and maximum velocity of the particle. $(x \to m, y \to cm, t \to \sec)$