The length of side of an equilateral triangular garden whose perimeter is 66cm is

From subtract

For such questions, we should know the concept of like and unlike terms.

If

For such questions, we should know rules of indices.

A 4 kg mass and a 1 kg mass are moving with equal kinetic energies. The ratio of the magnitudes of their linear momenta is:

A mass of 100g strikes the wall with speed 5m/s at an angle as shown in figure and it rebounds with the same speed. If the contact time is 2 × 10^–3 sec, what is the force applied on the mass by the wall:

A force F = –K(yi + xj) (where K is a positive constant) acts on a particle moving in the xy–plane. Starting from the origin, the particle is taken along the positive x–axis to the point (a, 0) and then parallel to the y–axis to the point (a, a). The total work done by the force F on the particles is:

If W₁, W₂ and W₃ represent the work done in moving a particle from A to B along three different paths 1, 2 and 3 respectively (as shown) in the gravitational field of a point mass m, find the correct relation between W₁, W₂ and W₃:

The force required to stretch a spring varies with the distance as shown in the figure. If the experiment is performed with the above spring of half length, the line OA will

The potential energy of a particle varies with distance x as shown in the graph. The force acting on the particle is zero at :

From a waterfall, water is falling down at the rate of 100 kg/s on the blades of turbine. If the height of the fall is 100 m, then the power delivered to the turbine is approximately equal to:

Which of the following is not an example of perfectly inelastic collision:

Assertion : Speed of wave = Wave length / Time period
Reason : Wave length is the distance between two nearest particles in phase

Assertion : When we start filling an empty bucket with water, the pitch of sound produced goes on decreasing
Reason : The frequency of man voice is usually higher than that of woman

Decibel is unit of

A bar magnet of magnetic moment 3.0 A-m² is placed in a uniform magnetic induction field of 2 × 10^–5 T. If each pole of the magnet experiences a force of 6 x 10^–4 N, the length of the magnet is

If a bar magnet of magnetic moment M is freely suspended in a uniform magnetic field of strength B, the work done in rotating the magnet through an angle is