JEE Mains · Physics · STD 11 - 7. gravitation
Consider a planet in some solar system which has a mass double the mass of earth and density equal to the average density of earth. If the weight of an object on earth is \({W}\), then weight of the same object on that planet will be
- A \(\sqrt{2}\, {W}\)
- B \(2\, {W}\)
- C \(W\)
- D \(2^{\frac{1}{3}}\, {W}\)
Answer & Solution
Correct Answer
(D) \(2^{\frac{1}{3}}\, {W}\)
Step-by-step Solution
Detailed explanation
Since the density of planet is same as that of earth. \(\rho_{ p }=\rho_{ e }\) \(\Rightarrow \frac{ M _{ p }}{\frac{4}{3}}\pi R _{ p }^{3}=\frac{ M _{ e }}{\frac{4}{3}}\) \(\pi R _{ e }^{3}\)…
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