Tag: heliocentric model

Questions Related to heliocentric model

What is the range of gravitational force. ?

  1. $10^{-2}$m

  2. $10^{-15}$m

  3. infinite

  4. $10^{-10}$m


Correct Option: C
Explanation:

The range of gravitational force is infinite.

Let $F _{1}$ be the magnitude of the gravitational force exerted on the Sun by Earth and $F _{2}$ be the magnitude of the force exerted on Earth by the Sun. Then.

  1. $F _{1}$ is much greater than $F _{2}$

  2. $F _{1}$ is slightly greater than $F _{2}$

  3. $F _{1}$ is equal to $F _{2}$

  4. $F _{1}$ is slightly less than $F _{2}$


Correct Option: C

Value of $G$ is

  1. $6.675\times {10}^{11}{Nm}^{2}{kg}^{-2}$

  2. $6.675\times {10}^{10}{Nm}^{2}{kg}^{-2}$

  3. $6.675\times {10}^{-12}{Nm}^{2}{kg}^{-2}$

  4. $6.675\times {10}^{-11}{Nm}^{2}{kg}^{-2}$


Correct Option: D

A block weights $5 N$ in air, $4.5 N$ in a liquid of specific gravity $0.5$ Its weight in water will be

  1. $3.5 N$

  2. $4.0 N$

  3. $2.5 N$

  4. $3.0 N$


Correct Option: A

------------ is the force of attraction between any two bodies in the universe.

  1. Gravitation

  2. Polarity

  3. Induction

  4. Joule


Correct Option: A
Explanation:

Any two objects attract each other with a force $F _g=\dfrac{GMm}{R^2}$ where $G$ is the gravitational constant, $M$ and $m$ the masses of the two bodies and $R$ is the distance along the line joining their centre of mass

State whether the given statement is True or False :

All objects attract each other along the line joining their centre of mass.

  1. True

  2. False


Correct Option: A
Explanation:

Any two objects attract each other with a force $F _g=\dfrac{GMm}{R^2}$ where $G$ is the gravitational constant, $M$ and $m$ the masses of the two bodies and $R$ is the distance along the line joining their centre of mass

The horizontal component of the weight of a body of mass $m$ is

  1. $mg$

  2. $\displaystyle \dfrac{\mathrm{m}\mathrm{g}}{2}$

  3. $0$

  4. Infinity


Correct Option: C
Explanation:

The force of gravity is the force with which the earth, moon, or other massively large object attracts another object towards itself. By definition, this is the weight of the object. All objects upon earth experience a force of gravity that is directed "downward" towards the center of the earth. So, the horizontal component of the weight of body of mass $m$ will be $0$. $Option$ $C$ is correct.

An Earth's satellite is moving in a circular orbit with a uniform speed $v$. If the gravitational force of the Earth suddenly disappears, the satellite will

  1. vanish into outer space.

  2. continue to move with velocity $v$ in original orbit.

  3. fall down with increasing velocity.

  4. fly off tangentially from the orbit with velocity $v$.


Correct Option: D
Explanation:

The satellite revolves around the Earth in a circular orbit when centrifugal force acting outward on the satellite is balanced by the gravitational force of the Earth. Thus, when gravitational force suddenly disappears, then only centrifugal force will be acting and velocity is tangential to the orbit and hence, the satellite will fly off tangentially. It is similar to an object tied with a string, fly off when string suddenly breaks.

The mass of the moon is about $1.2$% of the mass of the earth. Compared to the gravitational force the earth exerts on the moon, the gravitational force the moon exerts on earth

  1. Is the same

  2. Is smaller

  3. Is greater

  4. Varies with its phase


Correct Option: A
Explanation:

Answer is A.

By Newton's Third Law and Newton's Law of Universal gravitation, the gravitational force the Earth exerts on the Moon is exactly the same as the force the Moon exerts on the Earth. 
F (Earth) = F (Moon)
However, the tidal forces are not equal - the Moon exerts a greater tidal force because tidal forces result from a difference in force across the object. Because the Earth has a greater diameter, the difference in the lunar force across the Earth will be greater than the difference that the terrestrial force exerts across the lunar diameter.

When a fruit falls from a tree,

  1. only the earth attracts the fruit

  2. both the earth and the fruit attract each other

  3. only the fruit attracts the earth

  4. they repel each other


Correct Option: B
Explanation:

According to the law of physics, the earth attracts the apple and the apple attracts the earth with the same intensity of gravity ( according to 3rd law of dynamics). However the displacement of the two bodies is inversely to their respective masses. The earth attracts the apple i.e it falls on an apple in a billionth of a billionth of a millimeter which is impossible to see.

Thus when a fruit falls from a tree both the earth and the fruit attract each other.