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The radii of the earth and the moon are in the ratio 10 : 1 while acceleration due to gravity on th eearth’s surface and moon’s surface are in the ratio 6 : 1. The ratio of escape velocities from earth’s surface to that of moon surface is
  • a)
    10 : 1
  • b)
    6 : 1
  • c)
    1.66 : 1
  • d)
    7.74 : 1
Correct answer is option 'D'. Can you explain this answer?
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The radii of the earth and the moon are in the ratio 10 : 1 while acce...
And the moon are in the ratio 1 : 6. This means that the radius of the moon is 1/10th of the radius of the earth, while the acceleration due to gravity on the moon is 1/6th of the acceleration due to gravity on the earth.

To find the actual values, we need to know the radius of the earth and the acceleration due to gravity on the earth. Let's assume the radius of the earth is R and the acceleration due to gravity on the earth is g.

According to the given ratio, the radius of the moon is (1/10)R and the acceleration due to gravity on the moon is (1/6)g.

We can set up the following proportion:

(Radius of the moon) / (Radius of the earth) = (Acceleration due to gravity on the moon) / (Acceleration due to gravity on the earth)

((1/10)R) / R = ((1/6)g) / g

Simplifying the equation, we get:

1/10 = 1/6

This is not true, so there seems to be an error in the given information. The radii of the earth and the moon cannot be in the ratio 10 : 1 while the acceleration due to gravity on the earth and the moon are in the ratio 1 : 6.
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The radii of the earth and the moon are in the ratio 10 : 1 while acceleration due to gravity on th eearth’s surface and moon’s surface are in the ratio 6 : 1. The ratio of escape velocities from earth’s surface to that of moon surface isa)10 : 1b)6 : 1c)1.66 : 1d)7.74 : 1Correct answer is option 'D'. Can you explain this answer?
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The radii of the earth and the moon are in the ratio 10 : 1 while acceleration due to gravity on th eearth’s surface and moon’s surface are in the ratio 6 : 1. The ratio of escape velocities from earth’s surface to that of moon surface isa)10 : 1b)6 : 1c)1.66 : 1d)7.74 : 1Correct answer is option 'D'. 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 The radii of the earth and the moon are in the ratio 10 : 1 while acceleration due to gravity on th eearth’s surface and moon’s surface are in the ratio 6 : 1. The ratio of escape velocities from earth’s surface to that of moon surface isa)10 : 1b)6 : 1c)1.66 : 1d)7.74 : 1Correct answer is option 'D'. 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 The radii of the earth and the moon are in the ratio 10 : 1 while acceleration due to gravity on th eearth’s surface and moon’s surface are in the ratio 6 : 1. The ratio of escape velocities from earth’s surface to that of moon surface isa)10 : 1b)6 : 1c)1.66 : 1d)7.74 : 1Correct answer is option 'D'. Can you explain this answer?.
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