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Question: A drilling machine of power P watts is used to drill a hole in copper block of mass M kg. If the spe...

A drilling machine of power P watts is used to drill a hole in copper block of mass M kg. If the specific heat of copper is s J/kg-C and 40% of the power is lost due to heating of the machine, the rise in the temperature of the block in T seconds will be (in °C) ?

A

B

0.4PTMs\frac { 0.4 \mathrm { PT } } { \mathrm { Ms } }

C

0.6PMsT\frac { 0.6 \mathrm { P } } { \mathrm { MsT } }

D

0.6PTMs\frac { 0.6 \mathrm { PT } } { \mathrm { Ms } }

Answer

0.6PTMs\frac { 0.6 \mathrm { PT } } { \mathrm { Ms } }

Explanation

Solution

useful power = 0.6 P

\ energy consumed in T sec. = 0.6 PT

Now, MsDT = 0.6 PT

\ DT = 0.6PTMs\frac { 0.6 \mathrm { PT } } { \mathrm { Ms } }