MHT CET 2024 3rd May Evening Shift | Fluid Mechanics Question 65 | Physics

A liquid drop of density ' $\rho$ ' is floating half immersed in a liquid of density ' $d$ '. If ' $T$ ' is the surface tension then the diameter of the liquid drop is ( $\mathrm{g}=$ acceleration due to gravity)

$\left[\frac{6 \mathrm{~T}}{g(2 p-d)}\right]^{\frac{1}{2}}$

$\left[\frac{8 \mathrm{~T}}{3 \mathrm{~g}(2 \rho-\mathrm{d})}\right]^{\frac{1}{2}}$

$\left[\frac{12 \mathrm{~T}}{\mathrm{~g}(2 \rho-\mathrm{d})}\right]^{\frac{1}{2}}$

$\left[\frac{3 T}{g(2 p-d)}\right]^{\frac{1}{2}}$

MHT CET 2024 3rd May Morning Shift

MCQ (Single Correct Answer)

-0

A gardening pipe having an internal radius ' $R$ ' is connected to a water sprinkler having ' $n$ ' holes each of radius ' $r$ '. The water in the pipe has a speed ' $v$ '. The speed of water leaving the sprinkler is

$\left(\frac{\mathrm{R}^2}{\mathrm{r}^2}\right) \mathrm{nV}$

$\frac{\mathrm{R}^2 \mathrm{v}}{\mathrm{nr}^2}$

$\left(\frac{n r^2}{R^2}\right) V$

$\left(\frac{\mathrm{nR}^2}{\mathrm{r}^2}\right) \mathrm{V}$

MHT CET 2024 3rd May Morning Shift

MCQ (Single Correct Answer)

-0

The pressure inside two soap bubbles, (A) is 1.01 and that of (B) is 1.02 atmosphere respectively. The ratio of their respective radii (A to B) is (outside pressure $=1 \mathrm{~atm}$.)

$2: 1$

$4: 1$

$6: 1$

$8: 1$

MHT CET 2024 3rd May Morning Shift

MCQ (Single Correct Answer)

-0

A metal ball of radius $9 \times 10^{-4} \mathrm{~m}$ and density $10^4 \mathrm{~kg} / \mathrm{m}^3$ falls freely under gravity through a distance ' h ' and enters a tank of water. Considering that the metal ball has constant velocity, the value of $h$ is [coefficient of viscosity of water $=8.1 \times 10^{-4} \mathrm{pa}-\mathrm{s}, \mathrm{g}=10 \mathrm{~m} / \mathrm{s}^2$ density of water $\left.=10^3 \mathrm{~kg} / \mathrm{m}^3\right]$

20 m

18 m

15 m

12 m

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