sun is about 325 times heavier and about 100 times bigger in size than the earth . the ratio of their mean densities will be ??

Open in App

Solution

Given weight of sun = 325 times weight of earth
If M is the mass of the Sun and m is the mass of the Earth than.
Then for given information Mg = 325 mg (sun is 325 times heavier than Earth)
or M/m = 325
Given sun is 100 times bigger than the earth.
Therefore; Volume of sun = 100 times volume of the earth
Suppose V is the volume of the sun and v is the volume of the earth
V = 100 v
Since Density = Mass/volume
Density of sun D = M/V
Density of Earth = d = m/v
D/d = Mv/ Vm = 325 m v/100m V
D/d = 13/4

So, ratio of mean density of sun and earth is 13/4

Suggest Corrections

Similar questions

Q. A planet revolves around the sun whose mean distance is

1.588

times the mean distance between earth and sun. The revolution time of planet will be

The diameter of the sun is 1.4 × 10⁹ meters and that of the Earth is about 1.2768 × 10⁷meters. Find the approximate ratio of the diameter of the Sun to that of the Earth.

Q. The mass of moon is about 0.012 times that of earth and its diameter is about 0.25 times that of earth. The value of G on the moon will be:

(a) less than that on the earth
(b) more than that on the earth
(c) same as that on the earth
(d) about one-sixth of that on the earth

Q. The moon revolves round the earth

13

times in one year. If the ratio of sun-earth distance to earth-moon distance is

392

, then the ratio of masses of sun and earth will be

Calculate the ratio of the angular momentum of the earth about its axis due to its spinning motion to that about the sun due to its orbital motion. Radius of the earth = 6400 km and radius of the orbit of the earth about the sun = 1.5 $\times 10^{8}$ km.

Join BYJU'S Learning Program