A particle is projected from the surface of one star towards other star of same radius `a` and mass with such a minimum velocity`Ksqrt((GM)/a)`, so that it is attracted towards other star. Find the value of `K` if two stars are `2r` distance apart:

If a particles of mass m is projected with minimum velocity form the surface of a star with kinetic energy (K_(1)GMm)/a and potential energy at surface of the star (K_(2)GMm)/a towards the star of same mass m and radius a ( K_(1) and K_(2) are constant) to reach the other star. Find the distance between the centre of the two stars:

Distance between the centres of two stars is 10a . The masses of these stars are M and 16 M and their radii a and 2a respectively. A body of mass m is fired straight from the surface of the larger star towards the surface of the smaller star. What should be its minimum initial speed to reach the surface of the smaller star? Obtain the expression in terms of G , M and a.

Distance between the centres of two stars is 10a . The masses of these stars are M and 16 M and their radii a and 2a respectively. A body of mass m is fired straight from the surface of the larger star towards the surface of the smaller star. What should be its minimum initial speed to reach the surface of the smaller star? Obtain the expression in terms of G , M and a .

Distance between the centres of two stars is 10a . The masses of these stars are M and 16 M ans their radit a nd 2a respectively. A body of mass m is fired straight from the surface of the larger star tpwards the surface of the smaller star. What should be its minimum intial speed to reach the surface of the smaller star? Obtain the expression in terms of G , M and a.

The distance between the centres of two stars is 10alpha . The masses of these stars are M and 16M and their radii alpha and 2alpha . A body of mass m is fired straight from the surface of the larger star towards the smaller star. What should be its minimum initial speed to reach the surface of teh smaller star? Obtain the expression interms of G, M and alpha .

Distance between the centres of two stars is 10alpha. The masses of these stars are M and 16M and their radii a and 2a, respectively. A body of mass m is fired straight form the surface of the larger star towards the smaller star. What should be its minimum inital speed to reach the surface of the smaller star? Obtain the expression in terms of G,M and a.