Question

If the amplitude of a wave increases by a factor of 4, how is the intensity changed? it increases by a factor of 4 it increases by a factor of 16 it decreases by a factor of 4 it decreases by a factor of 16.

Answer 1

If the amplitude of the wave increases by 4 times, the intensity will increase by 16 times. Option B is correct.

What is the relation between the intensity and the Amplitude?

The intensity is directly proportional to the square of the amplitude of the wave.

$I \propto A^2$

$I = k \times A^2$

Where,

$I$- Intensity

$A$ - Amplitude

$k$ - constant

Thus, if the amplitude of the wave increased by 4 times,

$I = k \times(4A)^2\\\\I = k \times 16A^2$

Therefore, if the amplitude of the wave increases by 4 times, the intensity will increase by 16 times.

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Answer 2

Answer:

its b

Explanation: