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QJEEM20Ph090f: JEE Main 2020 Physics - Class 11 JEEM20Ph090f Solution: A bakelite beaker has volume capacity of 500 cc at 30 o C. When …

A bakelite beaker has volume capacity of 500 cc at 30oC. When it is partially filled with Vm volume (at 30oC) of mercury, it is found that the unfilled volume of the beaker remains constant as temperature is varied. If γ\gamma (beaker) = 6 × 10–6 oC–1 and γ\gamma (mercury) = 1.5 × 10–4 oC–1, where γ\gamma is the coefficient of volume expansion, then Vm (in cc) is close to ____.

Step-by-Step Verified Solution

Δ\Delta V = V γ\gamma Δ\Delta T

∴\therefore V1 γ\gamma 1 = V2 γ\gamma 2

⇒\Rightarrow 500 ×\times 6 ×\times 10-6 = Vm ×\times 1.5 ×\times 10-4

⇒\Rightarrow Vm = 500×6×10−61.5×10−4{{500 \times 6 \times {{10}^{ - 6}}} \over {1.5 \times {{10}^{ - 4}}}}

⇒\Rightarrow Vm = 20 cc

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