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14.Waves and Sound
medium
A sonometer wire, with a suspended mass of $M = 1\, kg$, is in resonance with a given tuning fork. The apparatus is taken to the moon where the acceleration due to gravity is $(1/6)$ that on earth. To obtain resonance on the moon, the value of $M$ should be ......... $kg$
A
$1$
B
$\sqrt 6$
C
$6$
D
$36$
Solution
By $n=\frac{1}{2 \ell} \sqrt{\frac{\mathrm{T}}{\mathrm{m}}}=\frac{1}{2 \ell} \sqrt{\frac{\mathrm{Mg}}{\mathrm{m}}}$
$\mathrm{n} \propto \sqrt{\mathrm{Mg}}$
$\sqrt{\mathrm{M}_{1} \mathrm{g}_{1}}=\sqrt{\mathrm{M}_{2} \mathrm{g}_{2}}$
$\sqrt{1 \times g}=\sqrt{M_{2} \times \frac{g}{6}} \quad \Rightarrow M_{2}=6 k g$
Standard 11
Physics
