A block of ice with mass m falls into a lake- After impact- a mass of ice m5melts- Both the block of ice and the lake have a temperature of 00C- If L represents the latent heat of fusion- the distance the ice falls before striking the surface is

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Standard XII

Physics

Temperature

A block of ic...

Question

A block of ice with mass m falls into a lake. After impact, a mass of ice $\frac{m}{5}$ melts. Both the block of ice and the lake have a temperature of 0⁰C. If L represents the latent heat of fusion, the distance the ice falls before striking the surface is

$\frac{L}{5 g}$

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$\frac{5 L}{g}$

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$\frac{g L}{5 m}$

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$\frac{m L}{5 g}$

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Solution

The correct option is B
$\frac{5 L}{g}$

$(\frac{m}{5} L) = m g h$
$∴ h = \frac{L}{5 g}$

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