Question

Can you tell that your roommate turned up the sound on the TV if its average sound intensity level goes from 70 to 73 dB?

a) Yes
b) No

Answer 1

The change in sound intensity level from 70 dB to 73 dB is approximately 1.5 dB, which is too small for you to determine if your roommate turned up the sound on the TV.

Step-by-step explanation:

The difference in sound intensity level can be calculated using the formula:

ΔL = 10 * log10(If/Ii)

where ΔL is the change in sound intensity level, If is the final sound intensity level, and Ii is the initial sound intensity level.

In this case, the initial sound intensity level is 70 dB and the final sound intensity level is 73 dB. Plugging these values into the formula:

ΔL = 10 * log10(10^(73/10) / 10^(70/10))

Simplifying the equation:

ΔL = 10 * log10(2.83) ≈ 1.5 dB

Since the change in sound intensity level is 1.5 dB, it is unlikely that you can tell whether your roommate turned up the sound on the TV based solely on this small change.