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  • If a one-litre glass flask contains some mercury it is found at a different temp. the volume of air inside the flask remains the same. What is the volume (in cc) of mercury in this flask if the coe

If a one-litre glass flask contains some mercury it is found at a different temp. the volume of air inside the flask remains the same. What is the volume (in cc) of mercury in this flask if the coefficient of linear expansion of mercury is 1.8 \times 10^{-4}\ {^0 C}

Option: 1

50


Option: 2

100


Option: 3

150


Option: 4

200


Answers (1)

best_answer

As we learned

Co-efficient of Real Expansion -

\gamma _{r}=\frac{Real\ increase\ in\ Volume}{Initial\ volume\times \Delta \theta}

\gamma _{r}=\frac{(\Delta v)_{r}}{v\times \Delta \theta}

Expansion in the volume of the vessel is equal to expansion in the volume of the mercury 

\Delta V_{a}=\Delta V_{L}

\Rightarrow V_{g}\cdot r_{g}\cdot \Delta \theta = V_{L}\cdot r_{L}\cdot \Delta \theta

\Rightarrow V_{L}\cdot r_{g}\cdot \frac{r_{g}}{r_{L}}=1000\times \frac{3\times 9\times 10^{-6}}{1.8\times 10^{-4}}=150 cc

Posted by

shivangi.shekhar

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