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Two strings A and B of equal lenth but u...

Two strings A and B of equal lenth but un equal linear mass density are tied together with a knot and stretched between two supports. A particular frquency happens to produce a standing wave on each part, with node at the knot as shown. If linear mass density of the two strings A and B are `mu_(1)` and `mu_(2)` respectively, then

A

`mu_(1) = mu_(1)`

B

`mu_(1) lt mu_(2)`

C

`mu_(1) gt mu_(2)`

D

can't be decided

Text Solution

Verified by Experts

The correct Answer is:
C
`f_(1) = f_(2)`
`D_(1) lt D_(2)`
`C = fD`
`:. C_(1) lt C_(2)`
but `C = sqrt((T)/(mu))`
`:. Mu_(1) gt mu_(2)`
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