Gravitation Test

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Gravitation Test - 82

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Weekly Quiz Competition

Question 1
1 / -0

The ratio of acceleration due to gravity at a depth h below the surface of earth and at a height h above the surface of earth for h < < R (where R is radius of earth)

A
is a constant

B
increases linearly with h

C
increases parabolically with h

D
decreases

Solution
Question 2
1 / -0

The linear velocity of a body at the equator of the earth will be about $($ Radius of earth at equator $=6.4 \times 10^{6} \mathrm{m} )$

A
$465$ $\mathrm{m} / \mathrm{s}$

B
$320$ $\mathrm{m} / \mathrm{s}$

C
$510$ $\mathrm{m} / \mathrm{s}$

D
$720$ $\mathrm{m} / \mathrm{s}$

Solution
Question 3
1 / -0

The acceleration due to gravity becomes $(\frac{g}{2})$ where g=acceleration due to gravity on the surface of the earth at a height equal to

A
$\dfrac{R}{4}$

B
$4R$

C
$2R$

D
$\dfrac{R}{2}$
Question 4
1 / -0

Who among the following did first give the experimental value of $G$ ?

A
Cavendish

B
Capernicus

C
Brook Taylor

D
None of these

Solution
Question 5
1 / -0

At what height from the surface of earth the gravitation potential and the value of g are $-5.4 \times 10^7 J/kg$ and $6.0 m/s^2$ respectively?
take the radius of earth as 6400 km:

A
$2600 km$

B
$1600 km$

C
$1400 km$

D
$2000 km$

Solution
Question 6
1 / -0

To double the orbital speed V and halve the angular velocity $\omega$ , The centripetal acceleration of a revolving body:

A
Is quadrupled

B
Remains Unchanged

C
Is halved

D
Is doubled

Solution
Question 7
1 / -0

The height above the surface of the earth where acceleration due to gravity is $1/64$ of its value at surface of the earth is approximately

A
$45\times 10^6$ m

B
$54\times 10^6$ m

C
$102\times 10^6$ m

D
$72\times 10^6$ m
Question 8
1 / -0

If the radius of a planet shrinks by 2% while its mass remaining the unchanged, the acceleration due to gravity on the planet's surface would

A
Remain unchanged

B
First decreases and then increases

C
Decreases

D
increases

Solution
Question 9
1 / -0

The ratio of acceleration due to gravity at a depth $h$ below the surface of earth and at a height $h$ above the earth surface of earth (h << radius of earth ) is

A
Is constant

B
Increases linearly with h

C
Increases parabolically with h

D
Decreases

Solution
Question 10
1 / -0

The value of $g$ will be $1\%$ of its value at the surface of earth at a height of $\left( R _ { e } = 6400 k m \right).$

A
$6400{ km }$

B
$57600{ km }$

C
$2560{ km }$

D
$64000 k m$

Solution

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Re-Attempt Weekly Quiz Competition

Gravitation Test - 82

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Gravitation Test - 82

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Question 1

is a constant

increases linearly with h

increases parabolically with h

decreases

Solution

Question 2

465465465 m/s \mathrm{m} / \mathrm{s} m/s

320320320 m/s \mathrm{m} / \mathrm{s} m/s

510510510 m/s \mathrm{m} / \mathrm{s} m/s

720720720 m/s \mathrm{m} / \mathrm{s} m/s

Solution

Question 3

R4\dfrac{R}{4}4R​

4R4R4R

2R2R2R

R2\dfrac{R}{2}2R​

Question 4

Cavendish

Capernicus

Brook Taylor

None of these

Solution

Question 5

2600km2600 km2600km

1600km1600 km1600km

1400km1400 km1400km

2000km2000 km2000km

Solution

Question 6

Is quadrupled

Remains Unchanged

Is halved

Is doubled

Solution

Question 7

45×10645\times 10^645×106 m

54×10654\times 10^654×106 m

102×106102\times 10^6102×106 m

72×10672\times 10^672×106 m

Question 8

Remain unchanged

First decreases and then increases

Decreases

increases

Solution

Question 9

Is constant

Increases linearly with h

Increases parabolically with h

Decreases

Solution

Question 10

6400km6400{ km }6400km

57600km57600{ km }57600km

2560km2560{ km }2560km

64000km64000 k m64000km

Solution

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$465$ $\mathrm{m} / \mathrm{s}$

$320$ $\mathrm{m} / \mathrm{s}$

$510$ $\mathrm{m} / \mathrm{s}$

$720$ $\mathrm{m} / \mathrm{s}$

$\dfrac{R}{4}$

$4R$

$2R$

$\dfrac{R}{2}$

$2600 km$

$1600 km$

$1400 km$

$2000 km$

$45\times 10^6$ m

$54\times 10^6$ m

$102\times 10^6$ m

$72\times 10^6$ m

$6400{ km }$

$57600{ km }$

$2560{ km }$

$64000 k m$