Question

When a rocket is traveling toward a mountain at 100 m/s, the sound waves from this rocket's engine approach the mountain at speed V.

If the rocket doubles its speed to 200 m/s, the sound waves from the engine will now approach the mountain at speed

A. 2–√V
B. 2V
C. V
D. 4V

Answer 1

The correct option is C

Step-by-step explanation:

From the question we are told that

The initial speed of the rocket is
`v_i = 100 m/s`

The speed of the rocket engine sound is
`V`

The final speed of the rocket is
`v_f = 200 \ m/s`

The speed of the sound at
`v_f` would still remain V this because the speed of sound wave is constant and is not dependent on the speed of the observer(The mountain ) or the speed of the source (The rocket ).

A clear example when lightning strikes you will first see (that is because it travels at the speed of light which is greater than the speed of sound) but it would take some time before you hear the sound of the lightning

Here we see that the speed of the lightning(speed of sound) does not affect the speed of the sound it generates