Beats are heard when the A strings of two violins X and Y are played . If the tension in the A string of X is slowly increased, the beat frequency is decreased. This suggests that

Options

A. the fundamental frequency of the A string in X is less than that for Y
B. the fundamental frequency of the A string in Y is more than that for Y
C. the fundamental frequency of the A string of X may be more or less than that of Y, depending upon the linear mass densities of X and Y
D. the fundamental frequency of the A string of X may be more or less than that of Y depending on the temperature

Answer

A

Explanation

When the tension is increased, the fundamental frequency of A is increased `(n propto sqrtT)`. If `n_(x) gt n_(y)`, then the number of beats/sec will increase. But if `n_(x) lt n_(y)` , then the beat frequency will decrease. Hence option (a).