Question

If masses of two point objects is doubled and distance between them is tripled, then gravitational force of attraction between them will nearly

A. increase by $$225\% $$
B. decrease by $$44\% $$
C. decrease by $$56\% $$  
D. increase by $$125\% $$
Answer :   decrease by $$56\% $$
Solution :
$$\eqalign{ & \% \,{\text{change}} = \frac{{\left[ {\frac{{G\left( {2{m_1}} \right)\left( {2{m_2}} \right)}}{{{{\left( {3r} \right)}^2}}} - \frac{{G{m_1}{m_2}}}{{{r^2}}}} \right]}}{{\frac{{G{m_1}{m_2}}}{{{r^2}}}}} \times 100 \cr & = \frac{{\frac{4}{9} - 1}}{1} \times 100 \cr & = - 56\% , \cr} $$
$$-ve$$  sign indicates that force of attraction decreases.

Releted MCQ Question on
Basic Physics >> Gravitation

Releted Question 1

If the radius of the earth were to shrink by one percent, its mass remaining the same, the acceleration due to gravity on the earth’s surface would-

A. Decrease
B. Remain unchanged
C. Increase
D. Be zero
Releted Question 2

If $$g$$ is the acceleration due to gravity on the earth’s surface, the gain in the potential energy of an object of mass $$m$$ raised from the surface of the earth to a height equal to the radius $$R$$ of the earth, is-

A. $$\frac{1}{2}\,mgR$$
B. $$2\,mgR$$
C. $$mgR$$
D. $$\frac{1}{4}mgR$$
Releted Question 3

If the distance between the earth and the sun were half its present value, the number of days in a year would have been-

A. $$64.5$$
B. $$129$$
C. $$182.5$$
D. $$730$$
Releted Question 4

A geo-stationary satellite orbits around the earth in a circular orbit of radius $$36,000 \,km.$$   Then, the time period of a spy satellite orbiting a few hundred km above the earth's surface $$\left( {{R_{earth}} = 6400\,km} \right)$$    will approximately be-

A. $$\frac{1}{2}\,hr$$
B. $$1 \,hr$$
C. $$2 \,hr$$
D. $$4 \,hr$$

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Gravitation


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