Physics · Wave Motion and Sound

Explanation: The wave speed on string is:

                          v =T/µ

Where v is the velocity of the wave

T is the tension of the string

 is the linear density of the string. ( Linear density is mass per unit length).

So the wave speed is directly proportional to the square root of tension of the string.

                               v∝T

So if tension quadruples, velocity doubles.

This option suggests that the velocity is halved, which would imply a decrease in tension, not an increase.

This option implies a significant decrease in velocity, which is incorrect given an increase in tension.

This is the correct option as the velocity is proportional to the square root of tension. Quadrupling the tension doubles the velocity.

This option suggests that the velocity increases fourfold, which would require the tension to increase sixteenfold.