AIEEE 2004 (Physics) Mock Test

Suppose the gravitational force varies inversely as the $n^{th}$ power of distance. Then the time period of a planet in circular orbit of radius $R$ around the sun will be proportional to:

A wire fixed at the upper end stretches by length $l$ by applying a force $F$. The work done in stretching is:

Spherical balls of radius $R$ are falling in a viscous fluid of viscosity $\eta$ with a velocity $v$. The retarding viscous force acting on the spherical ball is:

If two soap bubbles of different radii are connected by a tube:

The bob of a simple pendulum executes simple harmonic motion in water with a period $t$, while the period of oscillation of the bob is $t_0$ in air. Neglecting frictional force of water and given that the density of the bob is $\frac{4}{3}\times 1000{\text{kg/m}}^3$. What relationship between $t$ and $t_0$ is true?