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Physics · GRAVITATION

हिन्दी

Why is the historical Cavendish experiment often famously described as an experiment to 'weigh the Earth'?

  1. Cavendish measured the buoyant force exerted by the Earth's atmosphere on large lead spheres.
  2. Cavendish measured the orbital period of the Moon using optical methods.
  3. Cavendish directly measured the mass of the Earth using a giant mechanical balance.
  4. Measuring the universal constant \( G \) alongside known surface \( g \) and Earth's radius \( R_E \) allowed the determination of Earth's mass \( M_E \).

Correct answer · Option 4

Measuring the universal constant \( G \) alongside known surface \( g \) and Earth's radius \( R_E \) allowed the determination of Earth's mass \( M_E \).

Explanation

Since \( g = \frac{G M_E}{R_E^2} \), determining \( G \) allowed calculation of \( M_E = \frac{g R_E^2}{G} \), which is why Cavendish is credited with 'weighing the Earth'.
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