Question

Two marks on a glass rod 10 cm apart are found to increase their distance by 0.08 mm when the rod is heated from $0^{\circ }Cto{100}^{\circ }C$. A flask made of the same glass as that of rod measures a volume of 100 cc at $0^{\circ }C$. The volume it measures at ${100}^{\circ }C$ in cc is

• A. 100.24
• B. 100.12
• C. 100.36
• D. 100.48

Answer 1

Answer: (A)

100.24

$\Delta l=l\alpha \Delta T$
$\Rightarrow \alpha =\frac{\Delta l}{l\Delta T}=\frac{0.08\times {10}^{-1}}{10\times (100-0)}=8\times {10}^{-6}$

$\therefore \gamma =3\alpha =24\times {10}^{-6}$

$V=V_0(1+\gamma \Delta T)=100\times (1+24\times {10}^{-6}\times (100-0\left)\right)=100\times 1.0024=100.24cc$