Which statement is true about the loudness of sound?
a.
it is directly proportional to the distance of the listener from the source.
b.
it is inversely proportional to the square of the distance of the listener from the source.
c.
it is directly proportional to the square of the distance between the listener from the source.
d.
it is inversely proportional to the distance between the listener from the source.
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B.   It is inversely proportional to the square of the distance of the listener from the source.

Explanation:

The loudness of a sound is directly related to the sound intensity, which is inversely proportional to the square of the distance between the source and the listener:

where r is the distance between the source and the listener.

From the formula, we observe for instance that

- if we double the distance between the source and the listener, the loudness is decreased by a factor 4

- If we halve the distance between the source and the listener, the loudness quadruples

the answer for apex is the lowest

note: the given question is incomplete.

complete question is given below.

which is an example of kinetic energy?

a. the energy stored in ethanol  

b. a hockey puck sliding across the ice  

c. a compressed spring  

d. a ball sitting at the top of a ramp

solution: the kinetic energy is the energy posses by the virtue of the motion of the object.

in the given options, a, c and d are the example of potential energy because it is the energy posses by the virtue of the rest of the object. but option b has the kinetic energy as the object is in motion.

hence, a hockey puck sliding across the ice   is the apex example of kinetic energy.

so, the option (b) a hockey puck sliding across the ice   is the correct option.