A radioactive substance decays to 1/16th of its initial activity in 40 days. The half-life of the radioactive substance is
A car sometimes overturns while taking a turn. When it overturns, it is
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The r.m.s. value of an A.C. of 50 Hz is 10 amp. The time taken by the alternating current in reaching from zero to maximum value and the peak value will be
A car battery has e.m.f. 12 volt and internal resistance 5 x 10-2 ohm. If it draws 60 ampere current, the terminal voltage of the battery will be
A bullet hits and gets embedded in a solid block resting on a horizontal frictionless table. What is conserved ?
A wire is stretched by 0.01 m by a certain force F. Another wire of same material whose diameter and length are double to the original wire is stretched by the same force. Then its elongation will be
A two meter wire is moving with a velocity of 1 m/s perpendicular to a magnetic field of 0.5 Wb/m2. The emf induced in it will be
Two thin wire rings each having a radius R are placed at a distance d apart with their axes coinciding. The charges on the two rings are +q and -q. The potential difference between the centres of the two rings is
A vehicle of mass m is moving on a rough horizontal road with momentum P. If the coefficient of friction between the tyres and the road be μ, then the stopping distance is
If r represents the radius of the orbit of a satellite of mass m moving around a planet of mass M, the velocity of the satellite is given by
Two black metallic spheres of radius 4m, at 2000 K and 1m at 4000 K will have ratio of energy radiations as
The equation of state for 5 g of oxygen at a pressure P and temperature T, when occupying a volume V, will be (where R is the constant)
Two similar coils of radius r and no. of turns n are lying concentrically with their planes at right angles to each other. The current flowing in them I and √3I respectively. The magnetic field at centre of the coils is
For a body moving with constant speed in a horizontal circle, which of the following remains constant ?
What is the shape of a non-wetting liquid when it is placed in a capillary tube?
At a certain place, the horizontal component of the earth's magnetic field is B₀, and the angle of dip is 60o. The intensity of earth's magnetic field at that place will be
Two bodies of different masses ma and mb dropped from different heights a and b. The ratio of time taken by the two to cover these distances are
A particle moves with constant speed υ along a circular path of radius r and completes the circle in time T. The acceleration of the particle is
A body of mass 2 kg is hung on a spring balance mounted vertically in a lift. If the lift descends with an acceleration equal to the acceleration due to gravity 'g', the reading on the spring balance will be
A particle, with restoring force proportional to displacement and resisting force proportional to velocity is subjected to a force F sin ωt. If the amplitude of the particle is maximum for ω=ω₁ and the energy of the particle is maximum for ω=ω₂ then
The horizontal range of a projectile is 4√3 times the maximum height achieved by it, then the angle of projection is
A spherical drop of water has 1 mm radius. If the surface tension of water is 70 x 10-3 N/m, then the difference of pressure between inside and outside of the spherical drop is
The distance between an object and a divergent lens is m times the focal length of the lens. The linear magnification produced by the lens is
An automobile engine develops 100 kW when rotating at a speed of 1800 rev-min-1. What torque does it deliver?
Two spherical soap bubbles of radii r1 and r2 in vacuum combine under isothermal conditions. The resulting bubble has a radius equal to
A gas is heated through 1oC in a closed vessel. Its pressure is increased by 0.4%. The initial temperature of the gas is