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The equation of a stationary wave is y =...

The equation of a stationary wave is y = 2 sin `((pi x)/(15)) cos ( 48 pi t)`. The distance between a node and its next antinode is.

A

22.5 units

B

7.5 units

C

30 units

D

1.5 units

Text Solution

Verified by Experts

The correct Answer is:
B
(b): From given equation, `k = (2pi)/(lamda) = (pi)/(15) rArr lamda = 30`
Distance between node and next antinode `x = (lamda)/4`
`x = (lamda)/4 =(30)/4` = 7.5 units
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