Question

the ratio of loudness of two sound waves A and B is 2:3. if the amplitude of sound A is doubled and amplitude of sound B is halved .then the ratio of new loudness of sound A and B is...
16/3
32/3
2/3
8/3

​

Answer 1

8/3

ratio - 2:3

Now, suppose double both of them

now ratio is 4:6

now, it is given that 1st has been doubled

so now 1st will become = 2×4 = 8

same way , it is given that 2nd has been halved

so now 2nd will become = 1/2 × 6 = 3

so, here is our required solution

8:3

Answer 2

The ratio of new loudness of sound A and B is 8/3.

Given:

The ratio of the loudness of two soundwaves A and B=2:3

To find:

The ratio of the new loudness when the amplitude of A is doubled and amplitude of B is halved

Solution:

We can find the ratio by following the steps given below-

We know that the loudness of a sound depends on its amplitude.

The ratio of the loudness of A and B=2:3

When the loudness of A is doubled, it becomes

=2×2=4

When the loudness of B is halved, it becomes

=3/2= 1.5

The ratio of the new loudness of A and B=4:1.5

=40:15

=8:3

Therefore, the ratio of new loudness of sound A and B is 8/3.