1
WB JEE 2024
+1
-0.25

The position of the centre of mass of the uniform plate as shown in the figure is

A
$$\left(-\frac{\mathrm{a}}{2},-\frac{\mathrm{b}}{2}\right)$$
B
$$\left(\frac{\mathrm{a}}{8}, \frac{\mathrm{b}}{8}\right)$$
C
$$\left(-\frac{\mathrm{b}}{6},-\frac{\mathrm{a}}{6}\right)$$
D
$$\left(-\frac{a}{6},-\frac{b}{6}\right)$$
2
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
3
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
$$\mathrm{v}_{0}$$
4
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
EXAM MAP
Medical
NEET