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Q.

A body is suspended from a string of length 1 m and mass 2 g. The mass of the body to produce a fundamental note of 100 Hz frequency in the string is

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a

4 kg

b

80 g

c

8 kg

d

400 kg

answer is D.

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Detailed Solution

$\begin{array}{l} μ = \frac{m}{l} = \frac{2 \times 10^{- 3}}{1} \\ n = \frac{1}{2 l} \sqrt{\frac{T}{μ}} \\ 100 = \frac{1}{2} \sqrt{\frac{T}{2 \times 10^{- 3}}} \\ T = 80 N \\ m = 8 kg \end{array}$

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