Question

If you increase the frequency of a sound wave four times what will happen to its speed

Answer 1

Answer: The correct answer is "the speed of the wave becomes four times".

Explanation:

The relation between the speed, frequency and the wavelength is as follows:

v=f\lambda

Here, v is the speed of the wave, f is the frequency and \lambda is the wavelength.

The speed of the sound wave is directly proportional to the frequency.

In the given problem, if the speed of the sound wave is increased four times then the speed of the sound becomes four times.

Therefore, the speed of the sound wave becomes four times.

Answer 2

A  w a v e ' s   f r e q u e n c y   c a n   b e   m a t h e m a t i c a l l y   e x p r e s s e d   a s   f = v / λ,  w h e r e   v   i s   t h e   s p e e d   a n d   λ   i s   t h e   w a v e l e n g t h . W e   c a n   s e e   t h a t   f r e q u e n c y   a n d   s p e e d   a r e   d i r e c t l y   p r o p o r t i o n a l   to   e a c h   o t h e r ,  t h a t   m e a n s   w h e n    f r e q u e n c y   i s   i n c r e a s e d    f o u r   t i m e s,  t h e   s p e e d   w i l l   a l s o   i n c r e a s e   f o u r   t i m e s.