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

Options

A. `mu_(1) = mu_(1)`
B. `mu_(1) lt mu_(2)`
C. `mu_(1) gt mu_(2)`
D. can't be decided

Answer

C

Explanation

`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)`