Question

The frequency of a wave is doubled . the speed of the wave dose not change . what happens to the wavelength

Answer 1

Answer:

Wave length becomes half...

Explanation:

Checkout for your answer in the given attachment...

Answer 2

Answer:

${\boxed{\bf{Wavelength\:becomes\:half}}}$

Explanation:

$\tt Let\:the\: initial\:frequency\:be\:f_1 \\\tt So,\:final\:frequency=2f_1 \\\\\tt Let\:the\:initial\:speed=final\:speed=S_1 \\\\\tt Let\:the\:initial\:wavelength\:=\: w_1 \\\tt And\:the\:final\:wavelength\:=\: w_2$

Formula used:-

${\boxed{\tt {Frequency=\frac{Speed}{Wavelength}}}}$

$\bold{At\:first,}$

$\leadsto\bold{f_1= \frac{s_1}{w_1}\: \: \: \: \:(eq.1)}\\\\\leadsto\bold{ 2f_1 =\frac{s_1}{w_2}\: \: \: \: \: (eq.2)}$

Dividing each of them we get,

$\longrightarrow\bold{\frac{f_1}{2f_1}}={\frac{\frac{s_1}{w_1}}{\frac{s_1}{w_2}}}$

$\rightarrow\bold{\frac{w_2}{w_1} =\frac{1}{2}}$

$\rightarrow\bold{ w_2 = \frac{w_1}{2}}$

$\therefore\bold{\underline{So,wavelength\:becomes\:half}}$