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Masses of several objects were measured on the Earth as well as on the Moon using the same two-pan balance. The graph of the measurements obtained on
Question

Masses of several objects were measured on the Earth as well as on the Moon using the same two-pan balance. The graph of the measurements obtained on the two sites would appear as

A.

B.

C.

D.

Correct option is C

Given:

  • Masses are measured using the same two-pan balance on Earth and the Moon.
  • The mass of an object is invariant — it does not depend on location (Earth or Moon).
  • A two-pan balance compares the mass of two objects by comparing their weights under the same gravity — so it reads mass, not weight.

Solution:

  • On the Moon, though gravity is weaker, a two-pan balance still works correctly because both pans are affected equally by gravity.
  • Therefore, the measured mass on Earth and on the Moon should be the same for all objects.
  • So, the graph should show a straight line through the origin with a slope of 1 (equal measurements on both Earth and Moon).
  • This matches Graph C in the image.

Correct Answer: Option C

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