The capacity of a pure capacitor is 1 farad. In D.C. circuits, its effective resistance will be
What percentage of original radioactive atoms is left after five half lives ?
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A car is initially at rest on a circular track that has a radius of 40 m. The car then starts to move counter clockwise around the track, accelerating at constant angular acceleration of 1.0 rad/s2. The time it takes for the car to move half of the way around the track is
A mass m falls freely from rest. The linear momentum after it has fallen through a height h is
Two cells of the same emf are in series with an external resistance R. The internal resistance r1 is greater than r2. The p.d across the first cell is found to be zero. Then the value of R is
Cathode rays are similar to visible light rays in that
A wire of diameter 1 mm breaks under a tension of 1000 N. Another wire, of same material as that of the first one, but of diameter 2 mm breaks under a tension of
A transformer is used to reduce the mains supply of 220 V to 11 V. If the currents in primary and secondary coils are 5 A and 90 A respectively, efficiency of transformer is
If a transistor amplifier has a gain of 20 dB, then the ratio of output to input power is
A charge q is located at the centre of a cube. The electric flux through any face is
A cube of weight 10N rests on a rough inclined plane of slope 3 in 5. The coefficient of friction is 0.6. The minimum force necessary to start the cube moving up the plane is
If a liquid is heated in weightlessness, the heat is transmitted through
If a force of 250 N act on body, the momentum acquired is 125 kg m/s, what is the period for which force acts on the body.
A current carrying circular loop is freely suspended by a long thread. The plane of the loop will point in the direction
A ferromagnetic material is heated above its Curie temperature. Which one is a correct statement ?
In a container, the velocity of water flowing through a hole at a depth h from the surface of water is 5 m-s⁻1. If the container has the hole at a depth 4h from the surface of water, then velocity of water flowing through the hole is
A body is moved along a straight line by a machine delivering constant power. The distance moved by the body in time t sec is proportional
The length of second's hand in a watch is 1 cm. The change in velocity of its tip in 15 seconds is
Two bodies of mass 3 kg and 4 kg are suspended at the ends of massless string passing over a frictionless pulley. The acceleration of the system is (g=9.8 m/s2)
A body is projected at such an angle that the horizontal range is three times the greatest height. The angle of projection is
10 cm long wire is placed horizontally on the surface of water and is gently pulled up with a forceof 2 x 10⁻2N to keep the wire in equilibrium. The surface tension of water in N/m is
A ray of light strikes a glass plate at an angle θ. If angle between the reflected and refracted rays is a right angle, then refractive index of the glass plate is given by
A consatnt torque of 31.4 N-m is exerted on a pivoted wheel. If angular acceleration of wheel is 4π rad/s2, then the moment of inertia of the wheel is
The length of the second's hand in a watch is 1 cm. The magnitude of the change in the velocity of its tip in 15 s is
An electric lamp is marked 60 W, 230 V. The cost of a 1 Kwh of energy is Rs. 1.25. The cost of using this lamp 8 hrs a day for 30 days is
Radius of a soap bubble is\'r\', surface tension of soap solution is T. Then without increasing the temperature, how much energy will be needed to double its radius?
When a copper sphere is heated, maximum percentage change will be observed in