Two identical wires are stretched by the same tension of `100 N` and each emits a note of frequency `200 H_(Z)` . If the tension in one wire is increased by `1 N` , then the beat frequency is

Options

A. `(a)2 H_(Z)`
B. `(b)(1)/(2) H_(Z)`
C. `(c)1 H_(Z)`
D. (d)None of these

Answer

C

Explanation

`f prop sqrt(T)`
`(f') / (f) = sqrt((T') / (T)) = sqrt((101) / (100)) = 1.0040`
`f' = (1.0049) (200)`
`~~ 201 H_(Z)`
:. `f_(b) = f' - f = 1H_(Z)`