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10-1.Thermometry, Thermal Expansion and Calorimetry
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A drilling machine of $10\,KW$ power is used to drill a bore in a small aluminium block of mass $8\,kg.$ If $50\%$ of power is used up in heating the machine itself or lost to the surroundings then ........ $^oC$ is the rise in temperature of the block in $2.5\,minutes$
[specific heat of aluminium $= 0.91\,J/g\,\,^oc$ ]
A
$103$
B
$130$
C
$105$
D
$30$
Solution
Energy supplied in $2.5$ minutes.
$\Rightarrow 10 \times 10^{3} \times 2.5 \times 60$
$50 \%$ used in Heating
$\left(10 \times 10^{3} \times 2.5 \times 60 \times \frac{50}{100}\right)=\mathrm{Ms} \Delta \mathrm{T}$
$\left(10 \times 10^{3} \times 2.5 \times 60 \times \frac{50}{100}\right)=8 \times\left(\frac{0.91}{10^{-3}}\right) \times \Delta \mathrm{T}$
$\Delta \mathrm{T}=103.02^{\circ} \mathrm{C}$
Standard 11
Physics
