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If M = mass, L =length,T =time and I = electric current then the dimensional formula for electrical resistance R is given by
An inductance L having a resistance R is connected to an alternating source of angular frequency ω. The quality factor (Q) of the inductance is L/R
A thin rectangular magnet suspended freely has a period of oscillation equal to T. Now it is broken into two equal halves (each having half of the original length) and one piece is made to oscillate freely in the same field. If its period of oscillation is T ′ the ratio T ′/T is
Thiefs car is moving with a speed of 10 ms⁻1. A police van chasing this car with a speed of 5 ms⁻1 fires a bullet at the thief's car with muzzle velocity 72 km/h. Find the speed with which the bullet will hit the car.
A boy of 50 kg is in a lift moving down with an accleration 9.8 ms⁻2. The apparent weight of the body is (g=9.8 ms⁻2)
A particle of mass m is projected with velocity ν making an angle of 45o with the horizontal . When the particle lands on the level ground the magnitude of the changes in its momentum will be
A pendulum bob has a speed of 3 m/s at its lowest position. The pendulum is 0.5 m long. The speed of the bob, when the length makes an angle of 60o to the verticle, will be (If g=10 m/s2)