Exercise-1

For the path $PQR$ in a conservative force field. (fig.), the amount of work done in carrying a body from $P$ to $Q \&$ from $Q$ to $R$ are $5 \mathrm{J} \& 2 \mathrm{J}$ respectively. The work done in carrying the body from $P$ to $R$ will be -

A particle is moving in a potential region given by $U=K\left(x^2+y^2+z^2\right)$. The force acting on the particle is given by-

The work done by the external forces on a system (internal forces are conservative) equals the change in

One of the forces acting on a particle is conservative then which of the following statement(s) are true about this conservative force

A particle of charge $Q$ and mass $m$ travels through a potential difference $V$ from rest. The final momentum of the particle is:

A plank $P$ is placed on a solid cylinder $S$, which rolls on a horizontal surface. The two are of equal mass. There is no slipping at any of the surfaces in contact. The ratio of the kinetic energy of $P$ to the kinetic energy of $S$ is

The velocity of centre of mass of a disc rolling on an inclined plane changes from $V$ to $2 \mathrm{V}$ at any instant of time. If $\mathrm{M}$ is the mass of disc then increases in its kinetic energy will be

A uniform thin ring of mass $0.4 \mathrm{kg}$ rolls without slipping on a horizontal surface with a linear velocity of $10 \mathrm{cm}/\mathrm{s}$. The kinetic energy of the ring is :