Astronomers plot (in ) versus (in ) for several planets orbiting a distant star and…

PHYSICS · Single correct · CBSE · Physics · Gravitation · Gravitation

Problem

Astronomers plot

T^{2}

(in

\text{s}^{2}

) versus

R^{3}

(in

\text{m}^{3}

) for several planets orbiting a distant star and obtain a straight line whose slope is

2.5\times10^{-19}\,\text{s}^{2}\!\big/\!\text{m}^{3}

. Using this information, what is the best estimate of the star’s mass? (a)

5.9\times10^{29}\,\text{kg}

(b)

9.4\times10^{31}\,\text{kg}

(c)

2.4\times10^{30}\,\text{kg}

(d)

6.0\times10^{28}\,\text{kg}