Choose the correct answer from the options given below:
A small object at rest, absorbs a light pulse of power $20 \,mW$ and duration $300\, ns$. Assuming speed of light as $3 \times 10^8 \,m / s$, the momentum of the object becomes equal to :
As per the given figure, a small ball $P$ slides down the quadrant of a circle and hits the other ball $Q$ of equal mass which is initially at rest Neglecting the effect of friction and assume the collision to be elastic, the velocity of ball $Q$ after collision will be :$\left( g =10 \,m / s ^2\right)$
Two isolated metallic solid spheres of radii $R$ and $2 R$ are charged such that both have same charge density $\sigma$. The spheres are then connected by a thin conducting wire. If the new charge density of the bigger sphere is $\sigma^{\prime}$ The ratio $\frac{\sigma^{\prime}}{\sigma}$ is :
Two objects \(A\) and \(B\)are placed at \(15\, cm\) and \(25\, cm\) from the pole in front of a concave mirros having radius of curvature \(40\, cm\). The distance between images formed by the mirror is:
In a potentiometer arrangement, a cell of emf $1.20\, V$ gives a balance point at $36 \, cm$ length of wire This cell is now replaced by another cell of emf $1.80\, V$. The difference in balancing length of potentiometer wire in above conditions will be _______$cm$
Magnetic flux (in weber) in a closed circuit of resistance $20 \,\Omega$ varies with time $t ( s )$ as $\phi=8 t^2-9 t+5$. The magnitude of the induced current at $t =0.25\, s$ will be ______$mA$
A convex lens of refractive index \(15\) and focal length\(18 \,cm\) in air is immersed in water. The change in focal length of the lens will be_______ cm (Given refractive index of water =\(\frac{4}{3}\))