1
WB JEE 2023
+1
-0.25

A particle of mass m is projected at a velocity u, making an angle $$\theta$$ with the horizontal (x-axis). If the angle of projection $$\theta$$ is varied keeping all other parameters same, then magnitude of angular momentum (L) at its maximum height about the point of projection varies with $$\theta$$ as,

A
B
C
D
2
WB JEE 2023
+2
-0.5

There are n elastic balls placed on a smooth horizontal plane. The masses of the balls are $$\mathrm{m}, \frac{\mathrm{m}}{2}, \frac{\mathrm{m}}{2^{2}}, \ldots \frac{\mathrm{m}}{2^{\mathrm{n}-1}}$$ respectively. If the first ball hits the second ball with velocity $$\mathrm{v}_{0}$$, then the velocity of the $$\mathrm{n}^{\text {th }}$$ ball will be,

A
$$\frac{4}{3} v_{0}$$
B
$$\left(\frac{4}{3}\right)^{n} v_{0}$$
C
$$\left(\frac{4}{3}\right)^{n-1} v_{0}$$
D
$$\mathrm{v}_{0}$$
3
WB JEE 2022
+1
-0.25

A particle is moving in an elliptical orbit as shown in figure. If $$\overrightarrow p$$, $$\overrightarrow L$$ and $$\overrightarrow r$$ denote the linear momentum, angular momentum and position vector of the particle (from focus O) respectively at a point A, then the direction of $$\overrightarrow \alpha$$ = $$\overrightarrow p$$ $$\times$$ $$\overrightarrow L$$ is along.

A
+ve x axis
B
$$-$$ve x axis
C
+ve y axis
D
$$-$$ve y axis
4
WB JEE 2022
+1
-0.25

A body of mass m is thrown with velocity u from the origin of a co-ordinate axes at an angle $$\theta$$ with the horizon. The magnitude of the angular momentum of the particle about the origin at time t when it is at the maximum height of the trajectory is proportional to

A
u
B
u2
C
u3
D
independent of u
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