1
WB JEE 2024
+1
-0.25

The elastic potential energy of a strained body is

A
stress $$\times$$ strain
B
stress / strain
C
stress $$\times$$ strain / volume
D
$$\frac{1}{2} \times$$ stress $$\times$$ strain $$\times$$ volume
2
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
$$t \propto \sqrt{n-1}$$
3
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
$$\mathrm{z=\frac{H}{3}}$$
4
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
EXAM MAP
Medical
NEET