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Two marks on a glass rod 10cm apart are found to increase their distance by 0.08 mm when the rod is heated from $0^{\circ}C$ to $100^{\circ}C$ a flask made of the same glass as that of the rod measure a volume of 1000 cc at $0^{\circ}C$ . The volume it measures at $100^{\circ}C$ in cc is
Option: 1
1002.4

Option: 2
1004.2

Option: 3
1006.4

Option: 4
1008.2

Answers (1)

best_answer

As we learned

Change in Volume -

$\Delta V=V\gamma \Delta T$

- wherein

$\Delta V=V-V_{0}$

$V-V_{0}=$ Change in volume

$\Delta T=T-T_{0}$

$T-T_{0}=$ Change in temperature

for rod = $\Delta l = 0.08=l_{0}\alpha \Delta T$

$\Rightarrow 0.08\times 10^{-1}cm=10\times \alpha\times 100$

$\Rightarrow \alpha =8\times 10^{-6}/^{\circ}C$

$\therefore r=24\times 10^{-6}/^{\circ}C$

$\Rightarrow V=V_{0}(1+r\Delta T)=1000(1+24\times 10^{-6 }\times100)$

$V=1000(1.0024)=1002.4 c.c$

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vinayak

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