The masses and weights of some objects on the Moon were plotted against the same quantities on the Earth. The two graphs would appear as

Correct option is B

Solution:

We are given four options showing two graphs each:

1. Mass on Moon vs Mass on Earth
2. Weight on Moon vs Weight on Earth

Let’s analyze how these relationships work:

Concepts Used:

1. Mass on Moon vs Mass on Earth:

• Mass does not change with gravity.
• Therefore, mass on Moon = mass on Earth
• This gives a straight line with slope 1, passing through origin.

2. Weight on Moon vs Weight on Earth:

• Weight = Mass × Gravity
• Gravity on Moon ≈ 1/6 of Earth's gravity
• So, Weight on Moon = (1/6) × Weight on Earth
• This gives a line passing through origin with slope 1/6

Now Evaluate the Options:

Option b:

• Mass graph: Straight line with slope 1 — ️ correct
• Weight graph: Line with much smaller slope (1/6) — ️ correct

Option a:

• Weight graph incorrectly shows slope = 1 — (should be 1/6)

Option c:

• Mass graph has lower slope than 1 —
• Weight graph not consistent either —

Option d:

• Mass graph correct
• Weight graph has slope greater than 1 — (should be less)

Final Answer: Option 2 is correct as it accurately shows:

• Mass is unchanged (slope 1)
• Weight reduces to 1/6 (slope 1/6)