An infinite sheet of insulating material having charge density σ has a hole of radius R in it. An electron is released on the axis of the hole at a distance √3R from the centre. Then, the electron

The temperature at which the vapor pressure of a liquid becomes equals to the external (atmospheric) pressure is:

Directions: Mark out the correct statement(s) about wave speed and particle velocity for the transverse travelling mechanical wave on string.

When a body of mass M is attached to lower end of wire (of length L) whose upper end is fixed, then the elongation of wire is l. Which of the following statements regarding this is/are correct?

A uniform cylinder of mass M and relatives 'R' is placed on rough horizontal board, which in turn, is placed on a smooth surface. The coefficient of friction between board and cylinder is 'µ'. If the board starts accelerating with constant acceleration 'a' as shown in figure, then

The values of acceleration are given in column I, the values of angular acceleration of the centre of the mass are given in column II and the values of friction are given in column III.

Consider that a body of mass 'M' and radius 'R' placed on the horizontal rough surface is rolling without slipping. Force 'F' is applied at a distance 'x' from the centre of the mass of the sphere. Take 'x' as positive above the point 'O' and negative below the point 'O'.


If the given rolling body is a solid sphere and force F is acting at a distance of R/2 above the centre, calculate acm, αcm and friction.

The values of acceleration are given in column I, the values of angular acceleration of the centre of the mass are given in column II and the values of friction are given in column III.

Consider that a body of mass 'M' and radius 'R' placed on the horizontal rough surface is rolling without slipping. Force 'F' is applied at a distance 'x' from the centre of the mass of the sphere. Take 'x' as positive above the point 'O' and negative below the point 'O'.


If the given the rolling body is a ring and force F is passing through the centre of mass, calculate acm, αcm and friction.

The values of acceleration are given in column I, the values of angular acceleration of the centre of the mass are given in column II and the values of friction are given in column III.

Consider that a body of mass 'M' and radius 'R' placed on the horizontal rough surface is rolling without slipping. Force 'F' is applied at a distance 'x' from the centre of the mass of the sphere. Take 'x' as positive above the point 'O' and negative below the point 'O'.


A solid sphere having mass 'M' and radius 'R' is placed on a rough inclined plane having inclination 30°. It moves down rolling without slipping. What will be the values of acm, αcm and friction?

In a dark room with ambient temperature T0, a black body is kept at a temperature T. Keeping the temperature of the black body constant (at T), Sun rays are allowed to fall on the black body through a hole in the roof of the dark room. Assuming that there is no change in the ambient temperature of the room, which of the following statements is correct?

A man running at 8 km/hr finds that the rain is falling vertically. When he increases his speed to 12 km/hr, the rain appears to fall at an angle of 30^o with the vertical. Find the direction and speed of rain as observed by a stationary man.