Two Cu wires of radii `R_(1)` and `R_(2)` are such that `(R_(1) gt R_(2))` . Then which of the following is true ?

Options

A. travel faster in the thinner wire
B. travel with the same velocity in both the wires
C. not travel through both the wires
D. travel faster in the thicker wire

Answer

A

Explanation

`v =sqrt(T/m) = sqrt(T/(pi r^(2) e))`
For wires having the same tension and density ,
` v propto 1/r`
`:. v_(1) propto 1/r_(1) " and " v_(2) propto 1/r_(2) `
` :' r_(1) gt r_(2), v_(1) lt v_(2) " or " v_(2) gt v_(1) `
`:. ` Transverse waves will travel faster in the thinner wire.