1
JEE Main 2025 (Online) 3rd April Evening Shift
MCQ (Single Correct Answer)
+4
-1
Two cylindrical vessels of equal cross sectional area of $2 \mathrm{~m}^2$ contain water upto heights 10 m and 6 m , respectively. If the vessels are connected at their bottom then the work done by the force of gravity is (Density of water is $10^3 \mathrm{~kg} / \mathrm{m}^3$ and $\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^2$ )
A
${ }1 \times 10^5 \mathrm{~J}$
B
$4 \times 10^4 \mathrm{~J}$
C
$8 \times 10^4 \mathrm{~J}$
D
$6 \times 10^4 \mathrm{~J}$
2
JEE Main 2025 (Online) 3rd April Evening Shift
MCQ (Single Correct Answer)
+4
-1

A solid steel ball of diameter 3.6 mm acquired terminal velocity $2.45 \times 10^{-2} \mathrm{~m} / \mathrm{s}$ while falling under gravity through an oil of density $925 \mathrm{~kg} \mathrm{~m}^{-3}$. Take density of steel as $7825 \mathrm{~kg} \mathrm{~m}^{-3}$ and g as $9.8 \mathrm{~m} / \mathrm{s}^2$. The viscosity of the oil in SI unit is

A
2.18
B
1.68
C
2.38
D
1.99
3
JEE Main 2025 (Online) 3rd April Morning Shift
MCQ (Single Correct Answer)
+4
-1

Consider a completely full cylindrical water tank of height 1.6 m and of cross-sectional area $0.5 \mathrm{~m}^2$. It has a small hole in its side at a height 90 cm from the bottom. Assume, the crosssectional area of the hole to be negligibly small as compared to that of the water tank. If a load 50 kg is applied at the top surface of the water in the tank then the velocity of the water coming out at the instant when the hole is opened is:

$$ \left(\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^2\right) $$

A
$2 \mathrm{~m} / \mathrm{s}$
B
$5 \mathrm{~m} / \mathrm{s}$
C
$3 \mathrm{~m} / \mathrm{s}$
D
$4 \mathrm{~m} / \mathrm{s}$
4
JEE Main 2025 (Online) 2nd April Evening Shift
MCQ (Single Correct Answer)
+4
-1
Two water drops each of radius ' $r$ ' coalesce to form a bigger drop. If ' $T$ ' is the surface tension, the surface energy released in this process is :
A
$4 \pi \mathrm{r}^2 \mathrm{~T}\left[2-2^{1 / 3}\right]$
B
$4 \pi \mathrm{r}^2 \mathrm{~T}[1+\sqrt{2}]$
C
$4 \pi \mathrm{r}^2 \mathrm{~T}\left[2-2^{2 / 3}\right]$
D
$4 \pi \mathrm{r}^2 \mathrm{~T}[\sqrt{2}-1]$
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