(C) The electrical power dissipated in the wire is given by $P = \frac{V^2}{R}$.Substituting the given values: $P = \frac{(210)^2}{20} = \frac{44100}{

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(C) The electrical power dissipated in the wire is given by $P = \frac{V^2}{R}$.Substituting the given values: $P = \frac{(210)^2}{20} = \frac{44100}{20} = 2205\,W$ (or $J/s$).The rate of melting of ice $m$ is given by the formula $P = m \times L$,where $L$ is the latent heat of fusion of ice.Given $L = 80\,cal/g$ and $1\,cal = 4.2\,J$,we have $L = 80 \times 4.2 = 336\,J/g$.Therefore,$m = \frac{P}{L} = \frac{2205}{336} = 6.56\,g/s$.

Class 12 Physics Current Electricity Electrical Energy and Power

Medium

If a wire of resistance $20\,\Omega$ is covered with ice and a voltage of $210\,V$ is applied across the wire,then the rate of melting of ice is .................. $g/s$. (Take latent heat of fusion of ice $L = 80\,cal/g$ and $1\,cal = 4.2\,J$)

A
$0.85$
B
$1.92$
C
$6.56$
D
$10.50$

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Current Electricity

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Electrical Energy and Power

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If a wire of resistance $20\,\Omega$ is covered with ice and a voltage of $210\,V$ is applied across the wire,then the rate of melting of ice is .................. $g/s$. (Take latent heat of fusion of ice $L = 80\,cal/g$ and $1\,cal = 4.2\,J$)

Similar Questions

$A$ $5\,^{\circ}\text{C}$ rise in temperature is observed in a conductor by passing a current. When the current is doubled the rise in temperature will be approximately ........... $^{\circ}\text{C}$

$A$ constant voltage is applied between the two ends of a metallic wire. If both the length and the radius of the wire are doubled, the rate of heat developed in the wire

$A$ rise of temperature of $4\,^oC$ is observed in a conductor by passing a current. If the current is tripled,the rise in temperature will be .............. $^oC$.

$A$ piece of fuse wire melts when a current of $15\, A$ flows through it. With this current,if it dissipates $22.5\, W$,the resistance of the fuse wire will be .............. $\Omega$.

In the figure shown,the power generated in $y$ is maximum when $y = 5\,\Omega$. Then $R$ is

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