Question #aa783

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Answer 1 · 2017-01-18T15:44:53

We know the relation

$v = n \times λ$ $v=nxxlambda$

Where
$n \to frequency of wave$ $n->"frequency of wave"$

$λ \to wave length of wave$ $lambda->"wave length of wave"$

$v \to velicity of wave$ $v->"velicity of wave"$

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

$n_2=50%xxn_1=n_1/2$

So by relation #[1]

$n_1xxlambda_1=n_1/2xxlambda_2$

$=>lambda_2=2lambda_1$

Percent increase in wave length

$=(lambda_2-lambda_1)/lambda_1xx100%$

$=(2lambda_1-lambda_1)/lambda_1xx100%=100%$