Question

A vibrating string under a certain tension produces 100 vibrations per sec. Find the number of vibrations produced per sec when the tension increases by 16 times."

a) 400
b) 1600
c) 6400
d) 25

Answer 1

When the tension in a vibrating string increases by 16 times, the number of vibrations produced per second decreases to 25.

Step-by-step explanation:

To find the number of vibrations produced per second when the tension increases by 16 times, we need to consider the relationship between tension and frequency in a vibrating string. The frequency of a vibrating string is inversely proportional to the square root of the tension. So, if the tension is increased by 16 times, the frequency will decrease by the square root of 16, which is 4. Therefore, the number of vibrations produced per second will decrease to 100/4 = 25.