1
KCET 2025
MCQ (Single Correct Answer)
+1
-0

While determining the coefficient of viscosity of the given liquid, a spherical steel ball sinks by a distance $\mathrm{h}=0.9 \mathrm{~m}$. The radius of the ball $\mathrm{r}=\sqrt{3} \times 10^{-3} \mathrm{~m}$. The time taken by the ball to sink in three trails are tabulated as follows.

$$ \begin{array}{|l|l|} \hline \text { Trial No. } & \text { Time taken by the ball to fall by } \mathrm{h} \text { (in second) } \\ \hline 1 . & 2.75 \\ \hline 2 . & 2.65 \\ \hline 3 . & 2.70 \\ \hline \end{array} $$

The difference between the densities of the steel ball and the liquid is $7000 \mathrm{~kg} \mathrm{~m}^{-3}$. If $\mathrm{g}=10 \mathrm{~ms}^{-2}$, then the coefficient of viscosity of the given liquid at room temperature is

A
0.14 Pa.s
B
$0.14 \times 10^{-3} \mathrm{~Pa} . \mathrm{s}$
C
14 Pa.s
D
0.28 Pa.s
2
KCET 2024
MCQ (Single Correct Answer)
+1
-0

Water flows through a horizontal pipe of varying cross-section at a rate of $0.314 \mathrm{~m}^3 \mathrm{~s}^{-1}$. The velocity of water at a point where the radius of the pipe is 10 cm is

A
$0.1 \mathrm{~ms}^{-1}$
B
$1 \mathrm{~ms}^{-1}$
C
$10 \mathrm{~ms}^{-1}$
D
$100 \mathrm{~ms}^{-1}$
3
KCET 2023
MCQ (Single Correct Answer)
+1
-0

A closed water tank has cross-sectional area $$A$$. It has a small hole at a depth of $$h$$ from the free surface of water. The radius of the hole is $$r$$ so that $$r \ll \sqrt{\frac{A}{\pi}}$$. If $$p_o$$ is the pressure inside the tank above water level and $$p_a$$ is the atmospheric pressure, the rate of flow of the water coming out of the hole is ( $$\rho$$ is density of water)

KCET 2023 Physics - Fluid Mechanics Question 10 English

A
$$\pi r^2 \sqrt{2 g h}$$
B
$$\pi r^2 \sqrt{2 g h+\frac{2\left(p_0-p_a\right)}{\rho}}$$
C
$$\pi r^2 \sqrt{2 g H}$$
D
$$\pi r^2 \sqrt{g h+\frac{2\left(p_0-p_a\right)}{\rho}}$$
4
KCET 2021
MCQ (Single Correct Answer)
+1
-0

Two capillary tubes $$P$$ and $$Q$$ are dipped vertically in water. The height of water level in capillary tube $$P$$ is $$\frac{2}{3}$$ of the height in capillary tube $$Q$$. The ratio of their diameter is

A
2 : 3
B
3 : 2
C
3 : 4
D
4 : 3
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