Two blocks of masses 6 kg and 4 kg are placed on a frictionless surface and connected by a spring. If the heavier mass is given a velocity of 14 m/s in the direction of lighter one, then the velocity gained by the centre of mass will be
A particle moves in a circular orbit under the action of a central attractive force inversely proportional to the distance 'r'. The speed of the particle is
When a current flows through a conductor its temperature
As we know,
Therefore, this power is released in the form of heat in the conductor and this heat increases the temperature of the conductor.
Hence, temperature increases.
Choke coil works on the principle of
An infinite number of charge of equal magnitude q, but of opposite sign are placed along the X-axis at x = 1, x = 2, x = 4, x = 8... and so on. The electric potential at the point x = 0 due to these charge will be
The capacity of a condenser with two identical plates separated by a distance 'd' in air is 'C'. If the distance of separation is reduced to d/2 , the capacity is
The escape velocity of an object from the earth depends upon the mass of the earth (M), its mean density (ρ),its radius (R) and gravitational constant (G). Thus the formula for escape velocity is
On the horizontal surface of a truck (μ=0.6), a block of mass 1 kg is placed.If the truck is accelerating at the rate of 5 m/sec2 then frictional force on the block will be
If the block has to move, it should overcome static frictional force which is μmg = 0.6×10 = 6N
As the truck is moving with an acceleration, a pseudo force acts on the block which is ma = 1×5 = 5N
As this force is not enough for the block to move, an equal frictional force acts in the opposite direction which is equal to 5N
Two stars of mass m1 and m2 are parts of a binary star system. The radii of their orbits are r1 and r2 respectively, measured from the C.M. of the system. The magnitude of gravitational force m1 exerts on m2 is
A current carrying circular loop is freely suspended by a long thread. The plane of the loop will point in the direction
The effective length of a magnet is 31.4 cm, and its pole strength is 0.5 A-m. If it is bent in the form of a semicircle,then its new magnetic moment will be
A capillary tube when immersed vertically in a liquid records a rise of 3 mm. If the tube is immersed in the liquid at an angle of 60o with the vertical, then height of the liquid in the capillary tube will be
A wire of length L and cross-section A is made of material of Young's modulus Y. If it is stretched by an amount x, then work done is
A coastguard ship locates a pirate ship at a distance 560 m. It fires a cannon ball with an initial speed 82 m/s. At what angle from horizontal the ball must be fired so that it hits the pirate ship?
A stone tied to the end of a string of 1 m long is whirled in a horizontal circle with a constant speed. If the stone makes 22 revolution in 44 seconds, what is the magnitude and direction of acceleration of the stone?
Two projectiles are fired at different angles with the same magnitude of velocity, such that they have the same range. At what angles they might have been projected?
For equal range, the particle should either be projected at an angle θ or (90 - θ)
The angle between the vector 2î + 3ĵ and the y-axis is
The dimensional formula for torque is
19g of water at 30oC and 5g of ice at − 20oC are mixed together in a calorimeter. What is the final temperature of the mixture ? Given specific heat of ice = 0.5 cal g− 1 (oC)− 1 and latent heat of fusion of ice = 0.8 cal g−1