Gravitation Test

Result

Gravitation Test - 29

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

Which of the following is true for relative density?

A
It is a ratio of density of an object to that of water

B
It has no unit

C
Relative density water is 1

D
All of the above
Solution
The ratio of the density of a substance to the density of water, is termed as relative density .
The relative density of a substance wrt water = $$\dfrac{ \text{density of the substance}}{\text{density of water}}$$

Hence, relative density of water is 1.

As relative density is a ratio of two densities so it does not have any unit.

Hence, all the options are correct.
Question 2
1 / -0

Buoyant force is directed

A
upwards

B
downwards

C
sideways

D
at ll directions

Solution

As evident from Archimedes' principle, buoyant force is the force applied upward on any object by a fluid.
Question 3
1 / -0

Relative density is equal to

A
$$\dfrac{\text{Density of substance}}{\text{Density of water at}\ 4^o\ C}$$

B
$$\dfrac{\text{Density of substance}(gcm^{-3})}{1\ gcm^{-3}}$$

C
$$\dfrac{\text{Mass of certain volume of substance}}{\text{Mass of same volume of water at}\ 4^o\ C}$$

D
All of the above

Solution

$$\text{Relative density} = \dfrac{\text{Density of substance}}{\text{Density of water at}\ 4^o\ C}$$

Since, density of water is $$1\ g/cm^3$$ at $$4\ ^oC$$

$$R.D.=\dfrac{\text{Density of substance}(gcm^{-3})}{1\ gcm^{-3}}$$

Since, $$\text{Density = Mass x volume}$$

$$R.D.=\dfrac{\text{Mass of certain volume of substance}}{\text{Mass of same volume of water at}\ 4^o\ C}$$
Question 4
1 / -0

It is given that A has higher relative density than B. Choose the correct option.

A
A has more mass than B.

B
A has less mass than B.

C
Mass of certain volume of A is more than the mass of same volume of B.

D
Mass of certain volume of A is less than the mass of same volume of B.

Solution

Relative density $$=\dfrac{Density\ of\ material }{Density\ of\ water}$$

And, $$\text{Density} = \dfrac{\text{Mass}}{\text{Volume}}$$

If volume is constant, then $$Relatve\ Density \propto \ Density \propto Mass$$

Hence, same volume of A has more mass than same volume of B.
Question 5
1 / -0

The weight of a person on earth is $$600\ N$$. His weight on moon will appear as:

A
$$zero$$

B
$$100\ N$$

C
$$600\ N$$

D
$$3600\ N$$

Solution

Given,
Weight of person on earth $$600\ N$$
Weight on moon $$=mg_m$$
As we know, As we know gravitational acceleration on tmoon is 1/6 of gravtitation acceleration earth. $$g_m=\dfrac16g_e$$
Weight of object on earth = Force by which earth pull the object towards the center $$F=mg_e=600\ N$$
$$\therefore$$ Weight on moon $$g_m=m\times\dfrac16g_e=\dfrac{600}{6}=100\ N$$
Hence Option B
Question 6
1 / -0

If the distance between two particles is doubled,then the gravitational force becomes

A
Half

B
One fourth

C
Double

D
One eighth

Solution

As we know that mathematically-

$$Gravitational\quad force=\quad \dfrac { G\times M_1\times M_2 }{ { r }^{ 2 } } $$

Where G is constant. M1, M2 are masses of the objects and r is distance between them.

So if the distance between them is doubled then gravitational force will be one-fourth of the present force.
Question 7
1 / -0

Why is relative density calculated with respect to the density of water particularly at $$\displaystyle { 4 }^{ \circ }C$$?

A
Because water displays Archimedes principle at $$\displaystyle { 4 }^{ \circ }C$$

B
Water has the highest density at $$\displaystyle { 4 }^{ \circ }C$$

C
Water starts turning into ice at $$\displaystyle { 4 }^{ \circ }C$$

D
All of the above

Solution

Relative density is defined as the ratio of the density of any substance to the density of water at $$\displaystyle { 4 }^{ \circ }C$$. The density of water is maximum at $$\displaystyle { 4 }^{ \circ }C$$ and is regarded as a standard to calculate the relative density of any substance.
Question 8
1 / -0

Two particles of masses $$m_1$$ and $$m_2$$, approach each other due to their mutual gravitational attraction only. Then,

A
acceleration of both the particles are equal

B
acceleration of the particle of mass $$m_1$$ is proportional to $$m_1$$

C
acceleration of the particle of mass $$m_1$$ is proportional to $$m_2$$

D
acceleration of the particle of mass $$m_1$$ is inversely proportional to $$m_1$$

Solution

The gravitational force acting between the two masses $$m_1$$ and $$m_2$$ is given by
$$F_G=\frac{Gm_1m_2}{l^2}$$
Force on mass $$m_1$$
$$F_1=\frac{Gm_1m_2}{l^2}=m_1a_1$$
Where, $$a_1=$$ acceleration
$$\Rightarrow a_1=\frac{Gm_2}{l^2}\Rightarrow a_1 \propto m_2$$
And similarly, $$a_2\propto m_1$$
Question 9
1 / -0

From the following 3 solids of the same shape and same volume which one has the highest inertia?

A
Steel

B
Wood

C
Aluminium

D
None of the above

Solution

Mass is a measure of inertia.
For same shape and same volume, we can compare densities to tell which will have the highest mass. Since steel has the highest density, so it means it has the highest mass for a given shape and volume.
Therefore, steel has the highest inertia among wood, steel and aluminium.
Question 10
1 / -0

Universal gravitational constant is :

A
G

B
g

C
N

D
M

Solution

According to Newton's Law of Gravitation. Force between two masses is given by
:
$$F=$$G$$\dfrac{Mm}{R^2}$$
where $$M$$ $$m$$ are masses of both objects and $$R$$ is distance between them.
where $$G$$ = universal gravitational constant.

User

Question Analysis

Correct -
Wrong -
Skipped -

My Perfomance

Score
-
out of -
Rank
-
out of -

Re-Attempt Weekly Quiz Competition

Gravitation Test - 29

Result

Gravitation Test - 29

Score

-

Rank

-

SHARING IS CARING

Question 1

It is a ratio of density of an object to that of water

It has no unit

Relative density water is 1

All of the above

Solution

Question 2

upwards

downwards

sideways

at ll directions

Solution

Question 3

$$\dfrac{\text{Density of substance}}{\text{Density of water at}\ 4^o\ C}$$

$$\dfrac{\text{Density of substance}(gcm^{-3})}{1\ gcm^{-3}}$$

$$\dfrac{\text{Mass of certain volume of substance}}{\text{Mass of same volume of water at}\ 4^o\ C}$$

All of the above

Solution

Question 4

A has more mass than B.

A has less mass than B.

Mass of certain volume of A is more than the mass of same volume of B.

Mass of certain volume of A is less than the mass of same volume of B.

Solution

Question 5

$$zero$$

$$100\ N$$

$$600\ N$$

$$3600\ N$$

Solution

Question 6

Half

One fourth

Double

One eighth

Solution

Question 7

Because water displays Archimedes principle at $$\displaystyle { 4 }^{ \circ }C$$

Water has the highest density at $$\displaystyle { 4 }^{ \circ }C$$

Water starts turning into ice at $$\displaystyle { 4 }^{ \circ }C$$

All of the above

Solution

Question 8

acceleration of both the particles are equal

acceleration of the particle of mass $$m_1$$ is proportional to $$m_1$$

acceleration of the particle of mass $$m_1$$ is proportional to $$m_2$$

acceleration of the particle of mass $$m_1$$ is inversely proportional to $$m_1$$

Solution

Question 9

Steel

Wood

Aluminium

None of the above

Solution

Question 10

G

g

N

M

Solution

User

Question Analysis

My Perfomance

Score

-

Rank

-

Results Announcement on: coming Monday

Stay Tuned: We’ll update you on your result via email or SMS.