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
\(F_{1} = - F_{2} = - \dfrac{r_{12}}{r_{12}^{3}} G \left(M^{2}\right)_{0} \left(\dfrac{m_{1} m_{2}}{M_{0}^{2}}\right)^{n} \)
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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