The coefficient of linear expansion of brass and steel are ${\alpha _1}$ and ${\alpha _2}$. If we take a brass rod of length ${l_1}$ and steel rod of length ${l_2}$ at $0°C$, their difference in length $({l_2} - {l_1})$ will remain the same at a temperature if
${\alpha _1}{l_2} = {\alpha _2}{l_1}$
${\alpha _1}l_2^2 = {\alpha _2}l_1^2$
$\alpha _1^2{l_1} = \alpha _2^2{l_2}$
${\alpha _1}{l_1} = {\alpha _2}{l_2}$
A hole is drilled in a copper sheet. The diameter of the hole is $4.24\; cm$ at $27.0\,^{\circ} C$ What is the change in the diameter of the hole when the sheet is heated to $227\,^{\circ} C ?$ Coefficient of linear expansion of copper $=1.70 \times 10^{-5}\; K ^{-1}$
''Anomalous expansion of water is blessing for living organisms in water''. Explain this statement. Explain Anomalous expansion of water.
The coefficient of volume expansion of glycerin is $49 \times 10^{-5} \;K ^{-1} .$ What is the fractional change in its density for a $30\,^{\circ} C$ rise in temperature?
A seconds pendulum clock has a steel wire. The clock shows correct time at $25^{\circ} C$. .......... $s$ time does the clock lose or gain, in one week, when the temperature is increased to $35^{\circ} C$ ? $\left(\alpha_{\text {toel }}=1.2 \times 10^{-5} /{ }^{\circ} C \right)$
A solid ball of metal has a concentric spherical cavity within it. If the ball is heated, the volume of the cavity will