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If the radius of the earth were to shrink by 1% its mass remaining the same, the acceleration due to gravity on the earth’s surface would
  • a)
    Decrease by 2%
  • b)
    Remain unchanged
  • c)
    Increase by 2%
  • d)
    Will increase by 9.8%
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If the radius of the earth were to shrink by 1% its mass remaining the...
g=GMR2
dgg=−2dRR
given dRR=−1%
=>dgg=2%
∴ g increases by 2%
Hence b is the correct answer.
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Most Upvoted Answer
If the radius of the earth were to shrink by 1% its mass remaining the...
Would increase.

The acceleration due to gravity on Earth is given by the equation:

g = G * (M / r^2),

where g is the acceleration due to gravity, G is the gravitational constant, M is the mass of the Earth, and r is the radius of the Earth.

If the radius of the Earth were to shrink by 1%, the new radius would be 0.99 times the original radius (r_new = 0.99 * r).

Plugging in the new radius into the equation, we get:

g_new = G * (M / (0.99 * r)^2)
= G * (M / (0.99^2 * r^2))
= (1 / 0.99^2) * (G * (M / r^2))
= (1 / 0.9801) * g.

Therefore, the acceleration due to gravity on the Earth would increase by a factor of 1 / 0.9801, which is approximately 1.0202. In other words, it would increase by about 2.02%.
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If the radius of the earth were to shrink by 1% its mass remaining the same, the acceleration due to gravity on the earth’s surface woulda)Decrease by 2%b)Remain unchangedc)Increase by 2%d)Will increase by 9.8%Correct answer is option 'C'. Can you explain this answer?
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If the radius of the earth were to shrink by 1% its mass remaining the same, the acceleration due to gravity on the earth’s surface woulda)Decrease by 2%b)Remain unchangedc)Increase by 2%d)Will increase by 9.8%Correct answer is option 'C'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about If the radius of the earth were to shrink by 1% its mass remaining the same, the acceleration due to gravity on the earth’s surface woulda)Decrease by 2%b)Remain unchangedc)Increase by 2%d)Will increase by 9.8%Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the radius of the earth were to shrink by 1% its mass remaining the same, the acceleration due to gravity on the earth’s surface woulda)Decrease by 2%b)Remain unchangedc)Increase by 2%d)Will increase by 9.8%Correct answer is option 'C'. Can you explain this answer?.
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