Consider two solid spherical asteroid of uniform density of

Last updated: 6/7/2023

Consider two solid spherical asteroid of uniform density of mass M and radius R In one asteroid a tunnel of very small size of depth R is bored to the centre and in other asteroid a spherical cavity of radius R 2 is made as shown in the figure Now identical particles of mass m dropped into the cavities of both asteroids from the top most point P If force experienced by particle is F and F respectively in cavities of asteroids I and II when they are x distance away from the centre of asteroids If the time taken by particles to reach the centre of asteroids is T and T respectively then A The ratio of F F is equal to 2x R B The ratio of F F is equal to x R D The ratio of T T is equal to 1 2 C The ratio of T T is equal to t 4 Asteroid I Asteroid 111 M R uneita fuciu fara affe qui fe R 2 from east R farger et af d x fave I a II at find and FT T 1 A F F ww B ar F F D T T