Gravitation Test

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Gravitation Test - 66

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Weekly Quiz Competition

Question 1
1 / -0

What will be the ratio of a distance moved by a freely falling body from rest in $${ 4 }^{ th }$$ and $${ 5 }^{ th }$$second of journey

A
$$4:5$$

B
$$7:9$$

C
$$16:25$$

D
$$1:1$$
Question 2
1 / -0

An isosceles triangle of base $$3\ m$$ and altitude $$6\ m$$, is immersed vertically in water having its axis of symmetry horizontal as shown in the figure. If height of water on its axis is $$9\ m$$, the total thrust on the plate is

A
$$793.8\times 10^{3}N$$

B
$$700\times 10^{3}N$$

C
$$500\times 10^{3}N$$

D
$$300\times 10^{3}N$$

Solution
Question 3
1 / -0

Which of the following can be used for measuring the weight of an object?

A
Thermometer

B
Spring Balance

C
Speedometer

D
Odometer

Solution

Spring balances provide a method of weight measurement that is both simple and cheap. The mass is hung on the end of a spring and the deflection of the spring due to the downwards gravitational force on the mass is measured against a scale.It gives the weight of the body.
Question 4
1 / -0

At the surface of a certain planet acceleration due to gravity is one-quarter of that on the earth. If a brass ball is transported to this planet, then which one of the following statements is not correct?

A
The mass of the brass ball on this planet is quarter of its mass as measured on the earth

B
The brass ball has same mass on the other planet as on the earth

C
The brass ball has same volume on the other planet as on the earth

D
None of the above

Solution

The term mass is used to refer to the amount of matter in any given object. Mass is constant because mass is quantity of matter present in an object and it does not changes with gravity.
Mass of an object changes only if we cut off or add a piece to the object
$$\Rightarrow $$ Mass = constant
$$\therefore $$ Option (B) is correct.
Question 5
1 / -0

A body of mass $$m$$ is taken to the bottom of a deep mine. Then

A
Its mass increases

B
Its mass decreases

C
Its weight increases

D
Its weight decreases

Solution

A body of mass m is taken to the bottom of a deep mine. Then its weight decreases because acceleration due to gravity decreases.
Question 6
1 / -0

A rectangular plate$$(2\ m\times 3\ m)$$ is immersed in water in such a way that its greatest and least depth are $$6\ m$$ and $$4\ m$$ respectively from the water surface. The total thrust on the plate is:

A
$$294\times 10^{3} N$$

B
$$294\ N$$

C
$$100\times 10^{3} N$$

D
$$400\times 10^{3} N$$

Solution

Given,
Dimension of rectangular plate $$ = (2m \times 3m) $$
Greatest depth $$ = 6\ m $$
Least depth $$ =4\ m $$
Average depth, $$h = \dfrac{6 + 4}{2} = 5\ m $$

Average pressure, $$ P = \rho_{w} gh $$
($$\rho_{w} = $$ density of water$$ = 1000\ kg/m^{3} $$)

$$P = 1000 \times 9.8 \times 5$$
$$P = 49000\ N/m^{2} $$

Total thrust on the plate,
$$F = P \times $$ Area of plate
$$ = 49000 \times (2 \times 3)$$
$$= 294000\ N$$
$$= 294 \times 10^{3}\ N $$
Question 7
1 / -0

Which of the following statements about the gravitational constant is true

A
It is a force

B
It has no unit

C
It has same value in all systems of units

D
It depends on the value of the masses

E
It does not depend on the nature of the medium in which the bodies are kept.

Solution
Question 8
1 / -0

Which of the following is an application of Archimedes' principle?

A
Used in designing ships and submarines

B
Used in Lactometers

C
Used in Hydrometer

D
All of these

Solution

Archimedes' principle is used in designing ships and submarines. Lactometers, which are used to determine the purity of a sample of milk and hydrometers used for determining density of liquids, are based on this principle, hence option $$D$$ is correct.
Question 9
1 / -0

If the force of gravity suddenly disappears:-

A
The mass of all bodies will become zero

B
The weight of all bodies will become zero

C
Both mass and weight of all bodies will become zero

D
Neither mass nor weight of all bodies will become zero

Solution

$$\text{Weight of an object}=\text{Mass of the object}\times g$$,
where $$g$$ is the gravitational acceleration.
When the force of gravity disappears, the gravitational acceleration $$g=0$$.
Therefore, $$\text{Weight of the body}=0$$
Question 10
1 / -0

Why do hot air ballons rise and float mid-air?

A
The buoyant force of the hot-air balloon is less than the surrounding air

B
The buoyant force of the hot-air balloon is more than the surrounding air

C
The buoyant force of the hot-air balloon is equal to the surrounding air

D
None of these

Solution

The reason why hot-air balloons rise and float in mid-air is because the buoyant force of the hot-air balloon is less than the surrounding air. When the buoyant force of the hot-air balloon is more, it starts to descend. This is done by varying the quantity of hot air in the balloon, hence option $$A$$ is correct.

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Re-Attempt Weekly Quiz Competition

Gravitation Test - 66

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Gravitation Test - 66

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SHARING IS CARING

Question 1

$$4:5$$

$$7:9$$

$$16:25$$

$$1:1$$

Question 2

$$793.8\times 10^{3}N$$

$$700\times 10^{3}N$$

$$500\times 10^{3}N$$

$$300\times 10^{3}N$$

Solution

Question 3

Thermometer

Spring Balance

Speedometer

Odometer

Solution

Question 4

The mass of the brass ball on this planet is quarter of its mass as measured on the earth

The brass ball has same mass on the other planet as on the earth

The brass ball has same volume on the other planet as on the earth

None of the above

Solution

Question 5

Its mass increases

Its mass decreases

Its weight increases

Its weight decreases

Solution

Question 6

$$294\times 10^{3} N$$

$$294\ N$$

$$100\times 10^{3} N$$

$$400\times 10^{3} N$$

Solution

Question 7

It is a force

It has no unit

It has same value in all systems of units

It depends on the value of the masses

It does not depend on the nature of the medium in which the bodies are kept.

Solution

Question 8

Used in designing ships and submarines

Used in Lactometers

Used in Hydrometer

All of these

Solution

Question 9

The mass of all bodies will become zero

The weight of all bodies will become zero

Both mass and weight of all bodies will become zero

Neither mass nor weight of all bodies will become zero

Solution

Question 10

The buoyant force of the hot-air balloon is less than the surrounding air

The buoyant force of the hot-air balloon is more than the surrounding air

The buoyant force of the hot-air balloon is equal to the surrounding air

None of these

Solution

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