A bakelite beaker has volume capacity of \( 500 \mathrm{cc} \) at \( 30^{\circ} \mathrm{C} \). When it is partially filled with \( \mathrm{V}_{\mathrm{m}} \) volume (at \( 30^{\circ} \mathrm{C} \) ) of mercury, it is found that the unfilled volume of the beaker remains constant as temperature is varied. If \( \gamma_{\text {(beaker) }}=6 \times 10^{-6}{ }^{\circ} \mathrm{C}^{-1} \) and \( \gamma_{\text {(mercury) }}=1.5 \times 10^{-4}{ }^{\circ} \mathrm{C}^{-1} \), where \( \gamma \) is the coefficient of volume expansion, then \( \mathrm{V}_{\mathrm{m}} \) (in cc) is close to __________.

[JEE Main 2020, 3 Sep (Shift 1)]

Question

A bakelite beaker has volume capacity of \( 500 \mathrm{cc} \) at \( 30^{\circ} \mathrm{C} \). When it is partially filled with \( \mathrm{V}_{\mathrm{m}} \) volume (at \( 30^{\circ} \mathrm{C} \) ) of mercury, it is found that the unfilled volume of the beaker remains constant as temperature is varied. If \( \gamma_{\text {(beaker) }}=6 \times 10^{-6}{ }^{\circ} \mathrm{C}^{-1} \) and \( \gamma_{\text {(mercury) }}=1.5 \times 10^{-4}{ }^{\circ} \mathrm{C}^{-1} \), where \( \gamma \) is the coefficient of volume expansion, then \( \mathrm{V}_{\mathrm{m}} \) (in cc) is close to __________.

[JEE Main 2020, 3 Sep (Shift 1)]

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A bakelite beaker has volume capacity of \( 500 \mathrm{cc} \) at \( 30^{\circ} \mathrm{C} \). When it is partially fill…

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