two balls of different masses are thrown vertically upwards with the same initial velocity.maximum heights attained by them are h1 and h2 respectively . what is h1/^​h2

As the initial velocity is same and both of them are thrown in same direction, the maximum height attained by them will also be same. So h₁/h₂ = 1/1 = 1
Mass of the objects don't cause any effect on the distance travelled by them because acceleration due to gravity acting on all objects is same.
hope it helps!!!