MHT CET 2024 10th May Morning Shift | Fluid Mechanics Question 64 | Physics

A metal sphere of radius R, density $\rho_1$ moves with terminal velocity $\mathrm{V}_1$ through a liquid of density $\sigma$. Another sphere of same radius but density $\rho_2$ moves through same liquid. Its terminal velocity is $\mathrm{V}_2$. The ratio $\mathrm{V}_1: \mathrm{V}_2$ is

$\left(\rho_2+\sigma\right):\left(\rho_1-\sigma\right)$

$\left(\rho_1+\sigma\right):\left(\rho_2-\sigma\right)$

$\left(\rho_2-\sigma\right):\left(\rho_1-\sigma\right)$

$\left(\rho_1-\sigma\right):\left(\rho_2-\sigma\right)$

MHT CET 2024 9th May Evening Shift

MCQ (Single Correct Answer)

-0

Three liquids of densities $\rho_1, \rho_2$ and $\rho_3$ (with $\rho_1>\rho_2>\rho_3$ ) having same value of surface tension T , rise to the same height in three identical capillaries. Angle of contact $\theta_1, \theta_2$ and $\theta_3$ respectively obey

$\frac{\pi}{2}>\theta_1>\theta_2>\theta_3>0$

$0 \leqslant \theta_1<\theta_2<\theta_3<\frac{\pi}{2}$

$\frac{\pi}{2}<\theta_1<\theta_2<\theta_3<\pi$

$\pi>\theta_1>\theta_2>\frac{\pi}{2}$

MHT CET 2024 9th May Evening Shift

MCQ (Single Correct Answer)

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Let ' $n$ ' is the number of liquid drops, each with surface energy ' $E$ '. These drops join to form single drop. In this process

some energy will be absorbed

energy absorbed is $\left[E\left(n-n^{2 / 3}\right)\right]$

energy released will be $\left[\mathrm{E}\left(\mathrm{n}-\mathrm{n}^{2 / 3}\right)\right]$

energy released will be $\left[\mathrm{E}\left(2^{2 / 3}-1\right)\right]$

MHT CET 2024 9th May Evening Shift

MCQ (Single Correct Answer)

-0

The work done in splitting a water drop of radius R into 64 droplets is ( $\mathrm{T}=$ Surface tension of water)

$6 \pi \mathrm{TR}^2$

$12 \pi \mathrm{TR}^2$

$8 \pi \mathrm{TR}^2$

$24 \pi \mathrm{TR}^2$

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