Work, Power and EnergyHard
Question
A planet moves round the Sun in an elliptical orbit such that its K.E. is k1 and k2 when it is nearest to the Sun and farthest from the Sun respectively.
Options
A.If total energy of the planet is u, then ratio of largest distance (r2) and smallest distance (r1) between planet and the Sun is 
B.If total energy of the planet is u, then ratio of largest distance (r2) and smallest distance (r1) between planet and the Sun is 
C.if r2 = 2r1, the total energy of planet in terms of k1 and k2 is 2k1 - k2
D.if r2 = 2r1 , the total energy of planet in terms of k1 and k2 is 2k2 - k1
Solution
Apply energy conservation for maximum & minimum distances
k1 +
= u ......(1)from equation (1) -
= u - k2 .....(2)
= u - k1 ...(3)(a)
(b) where r2 = 2r1 ; 
⇒ 2u - 2k1 = u - k2 ⇒ u = 2k1 - k2Create a free account to view solution
View Solution FreeMore Work, Power and Energy Questions
A particle of mass 10 g is kept on the surface of a uniform sphere of mass 100kg and redius 10 cm. find the work to be d...One mole of an ideal gas expands adiabatically from T1 to temperature T2. Then work done by the gas is :-...Two particles each of mass m travelling with velocities u1 and u2 collide perfectly inelastically. The loss of kinetic e...An object of mass 0.2 kg executes simple harmonic motion along x-axis with frequency of 25/π Hz. At the position x ...A force = (3x2+2x−7) N acts on a 2 kg body as a result of which the body gets displaced from x = 0 to x = 5m. The ...