1
WB JEE 2024
+1
-0.25

A body floats with $$\frac{1}{n}$$ of its volume keeping outside of water. If the body has been taken to height $$\mathrm{h}$$ inside water and released, it will come to the surface after time t. Then

A
$$t \propto \sqrt{n}$$
B
$$\mathrm{t} \propto \mathrm{n}$$
C
$$t\propto \sqrt{n+1}$$
D
$$t \propto \sqrt{n-1}$$
2
WB JEE 2024
+2
-0.5

Water is filled in a cylindrical vessel of height $$\mathrm{H}$$. A hole is made at height $$\mathrm{z}$$ from the bottom, as shown in the figure. The value of z for which the range (R) of the emerging water through the hole will be maximum for

A
$$\mathrm{z=\frac{H}{4}}$$
B
$$\mathrm{z=\frac{H}{2}}$$
C
$$\mathrm{z=\frac{H}{8}}$$
D
$$\mathrm{z=\frac{H}{3}}$$
3
WB JEE 2024
+2
-0.5

A metal plate of area $$10^{-2} \mathrm{~m}^2$$ rests on a layer of castor oil, $$2 \times 10^{-3} \mathrm{~m}$$ thick, whose coefficient of viscosity is $$1.55 \mathrm{~Ns} \mathrm{~m}^{-2}$$. The approximate horizontal force required to move the plate with a uniform speed of $$3 \times 10^{-2} \mathrm{~ms}^{-1}$$ is

A
0.6718 N
B
0.2325 N
C
0.2022 N
D
0.6615 N
4
WB JEE 2023
+1
-0.25

As shown in the figure, a liquid is at same levels in two arms of a U-tube of uniform cross-section when at rest. If the U-tube moves with an acceleration 'f' towards right, the difference between liquid heights between two arms of the U-tube will be, (acceleration due to gravity = g)

A
$$\mathrm{\frac{f}{g}a}$$
B
$$\mathrm{\frac{g}{f}a}$$
C
$$\mathrm{a}$$
D
0
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