EASY
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Which of the following energy travels in the form of an electromagnetic wave?

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Important Questions on Energy

MEDIUM
Two equal masses are attached to the two ends of a spring of spring constant k. The masses are pulled out symmetrically to stretch the spring by a length x over its natural length. The work done by the spring on each mass is
HARD
The gravitational field due to a mass distribution is E=Kx2 in the x-direction. (K is a constant). Taking the gravitational potential to be zero at infinity, its value at a distance x is
MEDIUM
An electron and a proton are detected in a cosmic ray experiment, the first with kinetic energy 10 keV, and the second with 100 keV. Which is faster, the electron or the proton? Obtain the ratio of their speeds. (electron mass = 9.11× 10-31 kg, proton mass = 1.67×10-27 kg, 1 eV = 1.60 ×10-19 J)
HARD
Three identical stars, each of mass M, form an equilateral triangle (stars are positioned at the corners) that rotates around the centre of the triangle. The system is isolated and the edge length of the triangle is L. The amount of work done, that is required to dismantle the system is
EASY
A body of mass m kg starts falling from a point 2R above the Earth's surface. Its kinetic energy when it has fallen to a point R above the Earth's surface is [R-Radius of Earth, MMass of Earth, GGravitational Constant]
MEDIUM
Two springs have their force constant k1 and k2 k1>k2. When they are stretched with the same force,
EASY
Two springs A and B (kA= 2kB) are stretched by applying forces of equal magnitudes at the four ends. If the energy stored in A is E, then that in B is
MEDIUM
A book is lifted from the floor and is kept in an almirah. One person says that the potential energy of the book is increased by 20 J and the other says it is increased by 30 J. Is one of them necessarily wrong?
EASY
The gravitational potential energy of a body of mass m at the Earth's surface is, -mgRe. Its gravitational potential energy at a height Re from the Earth's surface will be (Here Re is the radius of the earth)
EASY
Which type of energy is produced by the movement of electric charges?
HARD
An object of mass m is raised from the surface of the earth to a height equal to the radius of the earth, that is, taken from a distance R to 2R from the centre of the earth. What is the gain in its potential energy?
HARD

Four particles each of mass M are located at the vertices of a square with side length L. The gravitational potential due to this at the centre of the square is 

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EASY
When a long spring is stretched by 2 cm, its potential energy is U. If the spring is stretched by 10 cm, the potential energy stored in it will be
HARD
The radius and mass of earth are increased by 0.5%. Which of the following statements are true at the surface of the earth?
HARD
A 1 kg block situated on a rough incline is connected to a spring of spring constant 100 N m-1 as shown in Fig. The block is released from rest with the spring in the unstretched position. The block moves 10 cm down the incline before coming to rest. Find the coefficient of friction between the block and the incline. Assume that the spring has a negligible mass and the pulley is frictionless.
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MEDIUM
If the mass of the earth is M, radius is R and gravitational constant is G, then work done to take 1 kg mass from the earth's surface to infinity will be
MEDIUM
One person says that the potential energy of a particular book kept in an almirah is 20 J and the other says it is 30 J. Is one of them necessarily wrong?
MEDIUM

The gravitational potential energy of a two-particle system is derived in this chapter as U=-Gm1m2r.

Does it follow from this equation that the potential energy for r= must be zero?

Can we choose the potential energy for r= to be 20 J and still use this formula? If no, what formula should be used to calculate the gravitational potential energy at separation r ?

EASY
What is meant by thermal energy?
HARD
A body of mass m rises to height h=R5 from the earth's surface, where R is earth's radius. If g is acceleration due to gravity at earth's surface, the increase in potential energy is