Verified Solution • 2025–26 Session moderate

QJEEM24Ph4e4c: JEE Main 2024 Physics - Class 11 JEEM24Ph4e4c Solution: Mercury is filled in a tube of radius up to a height of . The…

Mercury is filled in a tube of radius 2 cm2 \mathrm{~cm} up to a height of 30 cm30 \mathrm{~cm} . The force exerted by mercury on the bottom of the tube is _________ N.

(Given, atmospheric pressure =105 Nm−2=10^5 \mathrm{~Nm}^{-2} , density of mercury =1.36×104 kg m−3, g=10 m s−2,π=227)=1.36 \times 10^4 \mathrm{~kg} \mathrm{~m}^{-3}, \mathrm{~g}=10 \mathrm{~m} \mathrm{~s}^{-2}, \pi=\frac{22}{7})

Step-by-Step Verified Solution

Famp;=(p0+ρgh)Aamp;=(105+1.36×104×10×310)227(2100)2amp;=177 N\begin{aligned}F & =\left(p_0+\rho g h\right) A \\& =\left(10^5+1.36 \times 10^4 \times 10 \times \frac{3}{10}\right) \frac{22}{7}\left(\frac{2}{100}\right)^2 \\& =177 \mathrm{~N}\end{aligned}

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