Ncert Exercises & Solutions

Supposing Newton’s law of gravitation for gravitation forces \(F_{1}\) and \(F_{2}\) between two masses \(m_{1}\) and \(m_{2}\) at positions \(r_{1}\) and \(r_{2}\) read\(F_{1} = - F_{2} = - \dfrac{r_{12}}{r_{12}^{3}} G M^{2}_{0} \left(\dfrac{m_{1} m_{2}}{M_{0}^{2}}\right)^{n} \)

where, \(M_{0}\) is a constant of the dimension of mass, \(r_{12} = r_{1} - r_{2}\) and \(n\) is a number. In such a case,

(a)	the acceleration due to gravity on the earth will be different for different objects.
(b)	none of the three laws of Kepler will be valid.
(c)	only the third law will become invalid.
(d)	for \(n\) negative, an object lighter than water will sink into the water.

Choose the correct alternatives:

1.	(a), (b), (c)	2.	(a), (d)
3.	(b), (c), (d)	4.	(a), (c), (d)

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