Moment of inertia of a thin uniform ring about an axis passing through the center of gravity and perpendicular to the plane is ______________.

When a solid sphere is undergoing pure rolling, the ratio of translational kinetic energy to rotational kinetic energy is ______________.

The work done by the torque is ______________.

The product of a vector with itself is equal to ____________.

Two masses 2 kg and 4 kg are tied at the ends of a massless string and which is passing over a frictionless pulley. The tension in the string is ______________.

In a system of units, if force (F), acceleration (A) and time (T) are taken as fundamental units then the dimensional formula of energy is____________

One Angstrom is______________.

According to Newton's third law ____________.

If \(\vec F=(60\hat i+15\hat j-3\hat k)\)N and \(\vec v=(2\hat i-4\hat j+5\hat k)\) m/s, then instantaneous power is ___________.

Two discs of same material have the same mass. If their thicknesses are in the ratio 1:3, then their moments of inertia are in the ratio _____________.

A body of 2 kg acted upon by two forces each of magnitude 2 N, making. an angle of 60° with each other. The magnitude of net acceleration experienced by the body is _________________.

The distance covered by an object falling down freely under gravity in the last second of its motion is equal to the distance covered by it during the first five seconds of its motion. The time (in seconds) taken by the object to reach the ground is ______________.

A body cannot roll without slipping on a ______________.

The angular momentum of a moving body remains constant, if ____________.

Centre of mass of a body practically coincides with ____________.

The law of conservation of energy always holds good when _____________.

The same error repeated every time in the series of observation is known as _____________error.

A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle. The motion of the particle takes place in a plane. It follows that ______________.

Two bodies of masses 2 kg and 3 kg have position vectors \(\hat { i } +2 \hat { j} +\hat { k} \) and \(\hat { -4i } - \hat {(-3j)} +\hat { 6k} \) respectively. The centre of mass of this system has a position vector _____________.

The speed of the center of a wheel rolling on a horizontal surface is v_o.  A point on the rim in level with the center will be moving at a speed of,

A wind-powered generator converts wind energy into electric energy. Assume that the generator converts a fixed fraction of the wind energy intercepted by its blades into electrical energy. For wind speed v, the electrical power output will be proportional to

A book is at rest on the table which exerts a normal force on the book. If this force is considered as reaction force, what is the action force according to Newton's third law?

One parallactic second is ______________

A ball is projected vertically upwards with a velocity v. It comes back to ground in time t. Which v-t graph shows the motion correctly?

The density of a material in CGS system of units is 4 g cm^-3. In a system of units in which unit of length is 10 cm and unit of mass is 100 g, then the value of density of material will be