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
When a metal surface is illuminated by light of wavelengths 400 nm and 250 nm, the maximum velocities of the photoelectr...If the water falls from a dam into a trubine wheel 19.6 m below, them the velocity of water at the turiners, is (take g ...In a collinear collision, a particle with an initial speed v0 strikes a stationary particle of the same mass. If the f...A force acts on a 3 gm particle in such a way that the position of the particle as a function of time is given by x = 3t...A tennis ball is dropped on a horizontal smooth surface. It bounces back to its original position after hitting the surf...