1
JEE Main 2024 (Online) 9th April Evening Shift
MCQ (Single Correct Answer)
+4
-1

The excess pressure inside a soap bubble is thrice the excess pressure inside a second soap bubble. The ratio between the volume of the first and the second bubble is:

A
$$1: 9$$
B
$$1: 27$$
C
$$1: 81$$
D
$$1: 3$$
2
JEE Main 2024 (Online) 9th April Evening Shift
MCQ (Single Correct Answer)
+4
-1

A spherical ball of radius $$1 \times 10^{-4} \mathrm{~m}$$ and density $$10^5 \mathrm{~kg} / \mathrm{m}^3$$ falls freely under gravity through a distance $$h$$ before entering a tank of water, If after entering in water the velocity of the ball does not change, then the value of $$h$$ is approximately:

(The coefficient of viscosity of water is $$9.8 \times 10^{-6} \mathrm{~N} \mathrm{~s} / \mathrm{m}^2$$)

A
2518 m
B
2396 m
C
2249 m
D
2296 m
3
JEE Main 2024 (Online) 9th April Morning Shift
MCQ (Single Correct Answer)
+4
-1

A sphere of relative density $$\sigma$$ and diameter $$D$$ has concentric cavity of diameter $$d$$. The ratio of $$\frac{D}{d}$$, if it just floats on water in a tank is :

A
$$\left(\frac{\sigma-2}{\sigma+2}\right)^{1 / 3}$$
B
$$\left(\frac{\sigma+1}{\sigma-1}\right)^{1 / 3}$$
C
$$\left(\frac{\sigma-1}{\sigma}\right)^{1 / 3}$$
D
$$\left(\frac{\sigma}{\sigma-1}\right)^{1 / 3}$$
4
JEE Main 2024 (Online) 8th April Evening Shift
MCQ (Single Correct Answer)
+4
-1

A cube of ice floats partly in water and partly in kerosene oil. The ratio of volume of ice immersed in water to that in kerosene oil (specific gravity of Kerosene oil = 0.8, specific gravity of ice = 0.9):

A
5 : 4
B
9 : 10
C
8 : 9
D
1 : 1
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