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NEET2026PhysicsChapterActual

A newly discovered spherical planet has a mass 48 times that of the Earth and a volume 64 times that of the Earth. If a block has a weight W on the surface of the Earth, what will be its weight on the surface of this new planet?

Options

  1. A3 4 W
  2. B1 3 W
  3. C12W
  4. D3W

Correct answer

D. 3W

Step-by-step solution

Let the mass, volume, and radius of the Earth be M , V , and R respectively. For the new planet, mass M' = 48M and volume V' = 64V . Since the volume of a sphere is proportional to the cube of its radius, V' = 64V R'^3 = 64R^3 R' = 4R . The acceleration due to gravity on the surface of a planet is given by g = GM R^2 . For the new planet, g' = GM' R'^2 = G(48M) (4R)^2 = 48GM 16R^2 = 3 GM R^2 = 3g . The weight of the block on Earth is W = mg . The weight of the block on the new planet is W' = mg' = m(3g) = 3W . Answ

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