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For a string clamped at both its ends, w...

For a string clamped at both its ends, which of the following wave equation is lare valid for a stationary wave set up in It? (Origin is at one end of string)

A

`y=Asin kx.sin omegat`

B

`y=A coskxsinomegat`

C

`y=Asinkx.cos omegat`

D

`y=A cos kxcos omegat`

Text Solution

AI Generated Solution

To determine which wave equations are valid for a stationary wave set up in a string clamped at both ends, we need to consider the properties of stationary waves and the boundary conditions imposed by the fixed ends of the string. ### Step-by-Step Solution: 1. **Understanding Stationary Waves**: - A stationary wave is formed by the superposition of two waves traveling in opposite directions. Each particle of the medium oscillates about its equilibrium position with a fixed amplitude. 2. **Boundary Conditions**: ...
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