A time varying force acts on a ball of mass $100 \mathrm{g}$ for $2 \mathrm{ms}$. The force versus time curve is shown below. If the initial speed of the ball is $10 \mathrm{m} {\mathrm{s}}^{-1}$, then the speed of ball after $2 \mathrm{ms}$ is

A block of mass $M$ at rest on the floor is attached to a ball of mass $\frac{M}{2}$ via a light inextensible string of length $L$ which passes over a light small frictionless pulley. The pulley is at a height of $0.6 L$ from the floor. The ball is raised to a height of $\frac{L}{6}$  and released (see figure). The speed of the block at the instant the string gets taut (not slack) will be

A rigid ball of mass, $m$ strikes a rigid wall at ${60}^o$ and gets reflected without any loss of speed as shown in the figure below. The value of impulse imparted by the wall on the ball will be


 

Two billiard balls of equal mass $30 \mathrm{g}$ strike a rigid wall with same speed of $108 \mathrm{km} {\mathrm{h}}^{-1}$ (as shown) but at different angles. If the balls get reflected with the same speed, then the ratio of the magnitude of impulses imparted to ball $a$ and ball $b$ by the wall along $X$ direction is:

Figures (a), (b), (c) and (d) show variation of force with time.

The impulse is highest in figure.

A ball of mass $3 \mathrm{kg}$, moving with a speed of $100 \mathrm{m} {\mathrm{s}}^{-1}$, strikes a wall at an angle $60°$ (as shown in figure). The ball rebounds at the same speed and remains in contact with the wall for $0.2 \mathrm{s}$; the force exerted by the ball on the wall is:

Fill in the blank with the most appropriate option given below.

We should give everyone training in citizenship, but we have______this aspect till now.

The correct dimensional formula for impulse is given by

In Young's double slit experiment, the intensity of light at a point on the screen is $K$ unit for path difference ${}^{\text{'}}\lambda ^{\text{'}}$. What would be the intensity at a point if path difference is $\frac{\lambda }{4}$

Considering the following reaction sequence,

the correct option(s) is(are)

A medium having dielectric constant $K>1$ fills the space between the plates of a parallel plate capacitor. The plates have large area, and the distance between them is $d$. The capacitor is connected to a battery of voltage $V$. as shown in Figure (a). Now, both the plates are moved by a distance of $\frac{d}{2}$ from their original positions, as shown in Figure (b).

In the process of going from the configuration depicted in Figure (a) to that in Figure (b), which of the following statement(s) is(are) correct?

Figure represents the position-time graph of a body of mass $4 \mathrm{kg}$. Impulse $\left(\mathrm{kg} \mathrm{m} {\mathrm{s}}^{-1}\right)$ imparted to the body at $t=0$ is

The force $‘F\text{'}$ acting on a particle of mass $‘m\text{'}$ is indicated by the force-time graph shown below. The change in momentum of the particle over the time interval from zero to $8 \mathrm{s}$ is: