Question #c1f88

1 Answer
Jan 20, 2017

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%#