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Matter Waves

When a compre...

Question

When a compression pulse is sent towards bottom of sea from a stationary ship it is observed that its echo is heard after $2 s .$ If bulk modulus of elasticity of water is $2 \times 10^{9} N / m^{2}$ , mean temperature of water is $4$ and mean density of water is $1000 k g / m^{3},$ then depth of sea will be :

1014 m

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1414 m

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2828 m

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3000 m

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Solution

The correct option is B $1414 m$
Time taken by wave is given by,
$\frac{2 d}{V_{s}} = 2 \Rightarrow d = V_{s} \Rightarrow d = \sqrt{\frac{B}{ρ}} = \sqrt{\frac{2 \times 10^{9}}{1000}} = 1414 m$

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