First slide

Standing waves

Question

When a body of mass 25 kg is suspended from a sonometer wire, then it vibrates with frequency 200 Hz. If the volume of the body is 0'009 m3 and it is immersed in water, then the frequency of vibrating of the wire will be

Easy

A

160Hz
B

200Hz
C

240 Hz
D

260Hz

Solution

$n \propto \sqrt{T} or (n_{1} / n_{2}) = \sqrt{(T_{1} / T_{2})} Here T_{1} = 25 k g and T_{2} = (25 - 0 \cdot 009 \times 10^{3}) ∴ \frac{200}{n_{2}} = \sqrt{(\frac{25}{25 - 0 \cdot 009 \times 10^{3}})} or n_{2} = 160 H z$

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