InterviewSolution
Saved Bookmarks
InterviewSolution
| 1. |
A bullet is fired vertically upwards with velocity v form the surface of a spherical planet. If the escape velocity from the planet is `v_(esc) = vsqrtN`, then the value of N is (ignore energy loss due to atmosphere) |
|
Answer» Correct Answer - B Let h be the height to which the bullet rises `then, g^1 =g((1+(h)/(R ))^(-2)` `rArr (g)/(4) = g((1 +(h)/(R )^(-2)` `rArr h =R` we know that `v_e = sqrt((2GM)/(R ) = vsqrtN (given) …(i)` Now applying conservation of energy for the throw loss of kinetic energy = Gain in gravitational potential energy `:. (1)/(2)mv^2 =- (GMm)/(2R) - (-(GMm)/(R )` `:. v = sqrt((GM)/(R ) ...(ii)` Comparing (i) & (ii) N = 2 |
|