A cubical vessel of height 1 m is full of water. What is the amount of work done in pumping water out of the vessel?

(Take g =10 m/s²)

A person of mass 60 kg is inside a lift of mass 940 kg and presses the button on control panel. The lift starts moving upwards with an acceleration of 1.0 m/s². If g = 10 m/s², the tension in the supporting cable is

A radioactive substance contains 10,000 nuclei and its half-life period is 20 days. The number of nuclei present at the end of 10 days is

A motorboat covers a given distance in 6 hours moving downstream on a river. It covers the same distance in 10 hours moving upstream. The time it takes to cover the same distance in still water is ______.

A current of 2 A flows through a 2 W resistor when connected across a battery. The same battery supplies a current of 0.5 A when connected across a 9 W resistor. The internal resistance of the battery is

A 1250 W heater operates at 115 V. What is the resistance of the heating coil?

310 J of heat is required to raise the temperature of 2 moles of an ideal gas at constant pressure from 25°C to 35°C. The amount of heat required to raise the temperature of the gas through the same range at constant volume is

A balloon is rising vertically up with a velocity of 29m/s². A stone is dropped from it and it reaches the ground in 10 seconds. The height of the balloon when the stone was dropped from it is (g = 9.8 m/s²)

A body floats in water with 40% of its volume outside water. When the same body floats in an oil, 60% of its volume remains outside oil. The relative density of oil is

A motorboat covers a given distance in 6 hours moving downstream on a river. It covers the same distance in 10 hours moving upstream. The time it takes to cover the same distance in still water is ______.

A bullet moving with a speed of 100 ms^-1 can just penetrate two planks of equal thickness. Then, the number of such planks penetrated by the same bullet when the speed is doubled in will be _______.

A missile is fired for maximum range with an initial velocity of 20 m/s. If g = 10 m/s^-2, the range of the missile is

92U²³⁵ undergoes successive disintegrations with the end product of 82Pb²⁰³. The Number of a and b particles emitted are

A body weighs 50 grams in the air and 40 grams in water. How much would it weigh in a liquid of specific gravity 1.5?

A bar magnet is equivalent to _______.

A body of mass 5 kg is thrown vertically up with a kinetic energy of 490 J. The height at which the kinetic energy of the body becomes half of the original value is ______.

A convex and a concave lens separated by distance d are then put in contact. The focal length of the combination

A horizontal metal wire is carrying an electric current from the north to the south. Using a uniform magnetic field, it is to be prevented from falling under gravity. The direction of this magnetic field should be towards the______.

A motorboat covers a given distance in 6 hours moving downstream on a river. It covers the same distance in 10 hours moving upstream. The time it takes to cover the same distance in still water is ______.