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The stationary waves set up on a string ...

The stationary waves set up on a string have the equation :
`y = ( 2 mm) sin [ (6.28 m^(-1)) x] cos omega t`
The stationary wave is created by two identical waves , of amplitude `A` each , moving in opposite directions along the string . Then :

A

A = 2 mm

B

A = 1 mm

C

The smallest length of the string is 50 cm

D

The smallest length of the string is 2 m

Text Solution

Verified by Experts

The correct Answer is:
B, C
Comparing with the equation
`2Asin((npix)/(L))cos(omegat)`
`2A=2mmor A=1mm`
`(npix)/(L)=6.28x=2pixor L=(n)/(2)m`
For `n =1,L=0.5m`.
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