Question

the average distance of uranus from the sun is about 20AU and that pluto is about 40AU . find the ratio of the time periods of revolution of these planets around the sun ?

Answer 1

Law of Time Period:

=>Planets Orbiting around the sun have Time Periods such that :

now in image

concedring distance frm sun is eaither r or a is used above

then we get using =n 1

t2uranus/t2 pluto=20^3/40^3

--------=1/2√2

thus it is required ratio