EWT | Academic Question

Questions
Question (1)
QN0035411

The value of acceleration due to gravity on moving from equator to poles will

  • (A)

    decrease

  • (B)

    remain same

  • (C)

    increase

  • (D)

    become half

Correct Answer: B
Explanation:

Acceleration due to gravity  is given by

As one moves from the equator to the poles, the radius of the earth decreases, hence  increases.

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Question (2)
QN0035412

Which of the following is the correct relation between acceleration due to gravity '  ' and universal gravitational constant (G).

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: B
Explanation:

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Question (3)
QN0035413

An object is taken to a height above the surface of earth at a distance  from the centre of the earth. Where radius of earth, . The percentage decrease in the weight of the object will be

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: A
Explanation:

Effective value of '  ' at '  ' height is given as

Change in

Hence  decrease in the weight

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Question (4)
QN0035414

Assume that the acceleration due to gravity on the surface of the moon is 0.2 times the acceleration due to gravity on the surface of the earth. If  is the maximum range of a projectile on the earth's surface, what is the maximum range on the surface of the moon for the same velocity of projection           

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: D
Explanation:

Range of projectile

if  and  are constant then

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Question (5)
QN0035415

The height of the point vertically above the earth's surface, at which acceleration due to gravity becomes  of its value at the earth's surface is (Radius of the earth  )

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: B
Explanation:

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Question (6)
QN0035416

Where will it be profitable to purchase one kilogram sugar?           

  • (A)

    At poles

  • (B)

    At equator 

  • (C)

    At  latitude

  • (D)

    At  latitude

Correct Answer: B
Explanation:

Value of  is larger at poles than the equator.

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Question (7)
QN0035417

The density of a newly discovered planet is twice that of earth. The acceleration due to gravity at the surface of the planet is equal to that at the surface of the earth. If the radius of the earth is , the radius of the planet would be

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: A
Explanation:

also

at the surface of planet

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Question (8)
QN0035418

Imagine a new planet having the same density as that of earth but it is 3 times bigger than the earth in size. If the acceleration due to gravity on the surface of earth is  and that on the surface of the new planet is , then

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: D
Explanation:

 We know that

(d)

where  average density

is directly proportional to .

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Question (9)
QN0035419

Average density of the earth

  • (A)

    is a complex function of ,

  • (B)

    does not depend on 

  • (C)

    is inversely proportional to 

  • (D)

    is directly proportional to 

Correct Answer: B
Explanation:

K.E. of the person = P.E. at the maximum height

.

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Question (10)
QN0035420

The ratio of radii of earth to another planet is  and the ratio of their mean densities is . If an astronaut can jump to a maximum height of  on the earth, with the same effort, the maximum height he can jump on the planet is

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: B
Explanation:

Given

.

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