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A string vibrates according to the equat...

A string vibrates according to the equation `y=5"sin" (pix)/(3) cos 40 pi t`
where, x and y are in centimeters and t is in seconds.
(a) What is the speed of the component wave?
(b) What is the distance between the adjacent nodes?
(c) What is the velocity of the particle of the string at the position ` x = 1.5 ` cm when `t = 9/8 s?`

A

2.5 cm, `1.2 ms^(-1)`

B

`1 cm, 2.5 ms^(-1)`

C

`1.5 cm, 2.5 ms^(-1)`

D

`2 cm, 3.5 ms^(-1)`

Text Solution

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The correct Answer is:
A
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