Question #c1f88

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Answer 1 · 2017-01-20T06:08:47

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

$=(n_2-n_1)/n_1xx100%$

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