1
COMEDK 2025 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0
Water from a tap emerges vertically downwards with an initial speed of $1.0 \mathrm{~ms}^{-1}$. The cross-sectional area of the tap is $1 \mathrm{~cm}^2$. Assume that the pressure is constant throughout the stream of water and that the flow is steady. The cross-sectional area of the stream 15 cm below the tap is $\left(\mathrm{g}=10 \mathrm{~ms}^{-2}\right)$
A
$0.5 \mathrm{~cm}^2$
B
$5 \mathrm{~m}^2$
C
$0.2 \mathrm{~cm}^2$
D
$0.05 \mathrm{~m}^2$
2
COMEDK 2025 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0
A wind mill converts a fixed fraction of the wind energy intercepted by its blades into electrical energy. The electrical power output P is related to the velocity of wind v as
A
$v^3$
B
$v^2$
C
$\mathrm{v}^{3 / 2}$
D
$\mathrm{V}^{5 / 2}$
3
COMEDK 2025 Morning Shift
MCQ (Single Correct Answer)
+1
-0
A cylindrical tank 0.5 m in radius, rests on a platform 1.5 m high. Initially the tank is filled with water to a height of 2.5 m . A small plug whose area is $10^{-4} \mathrm{~m}^2$ is removed from an orifice located on the side of the tank at the bottom. The speed with which the water strikes the ground is: [Assume $g=10 \mathrm{~ms}^{-2}$ ]
A
$7.07 \mathrm{~ms}^{-1}$
B
$5.1 ~m s^{-1}$
C
$5.47 \mathrm{~ms}^{-1}$
D
$7.62 ~m s^{-1}$
4
COMEDK 2024 Evening Shift
MCQ (Single Correct Answer)
+1
-0

What is the relation obeyed by the angles of contact $$\theta_1, \theta_2$$ and $$\theta_3$$ of 3 liquids of different densities $$P_1, P_2$$ and $$P_3$$ respectively $$(\mathrm{P}_1 < \mathrm{P}_2 < \mathrm{P}_3$$) when they rise to the same capillary height in 3 identical capillaries and having nearly same surface tension $$\mathrm{T}$$ ?

A
$$ 0 \leq \theta_3<\theta_2<\theta_1<\frac{\pi}{2} $$
B
$$ \frac{\pi}{2}>\theta_1>\theta_2>\theta_3 \geq 0 $$
C
$$ \pi>\theta_1>\theta_2>\theta_3 \geq \frac{\pi}{2} $$
D
$$ 0 \leq \theta_1<\theta_2<\theta_3<\frac{\pi}{2} $$
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