Waves And Sound Question 4

Question 4 - 2024 (30 Jan Shift 2)

A point source is emitting sound waves of Power $16 \times 10^{-8} \mathrm{~W}$ at the origin. The ratio of intensity (magnitude only) at two points located at a distances of $2 \mathrm{~m}$ and $4 \mathrm{~m}$ from the origin respectively will be $\mathrm{Wm}^{-2}$. [We modified question statement, In official NTA paper question was incomplete]

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Answer: (4)

Solution:

Intensity $=$ Power/Area

Ratio of intensity will be inverse square ratio of distances

Ratio $=\frac{4^{2}}{2^{2}}=4$