Question

Question #c1f88

Answer 1

We know the relation

`v=nxxlambda`

Where
`n->"frequency of wave"`

`lambda->"wave length of wave"`

`v->"velicity of wave"`

Velocity of wave being constant we can say

`n_1xxlambda_1=n_2xxlambda_2.....[1]`

Where

`n_1->"initial frequency"`

`lambda_1->"initial wave length"`

`n_2->"changed frequency"`

`lambda_2->"changed wave length"`

By the given condition the wave length is reduced by 50%.
So
`lambda_2=50%xxlambda_1=lambda_1/2`

So by relation `[1]`

`n_1xxlambda_1=n_2xxlambda_1/2`

`=>n_2=2n_1`

Percent increase in frqyency

`=(n_2-n_1)/n_1xx100%`

`=(2n_1-n_1)/n_1xx100%=100%`