Relativity and time [2]

Classical Mechanics Level pending

Consider a clock that is in flat space-time, far away from any masses. If $100$ seconds passes on this clock, what time passes on a clock near the surface of a white dwarf star with a mass $1.8 \times 10^{30} kg$ and radius $6.1\times 10^{6} m$

Newtonian Gravitational constant, $G_{N} =6.67408\times10^{-11}$

Speed of light , $c=2.99792\times10^{8}$

All constants are in SI units.

Time Dilation

The answer is 99.978.

1 solution

Amal Hari
Feb 25, 2019

$\dfrac{\Delta t_{0}}{\Delta t_{\infty}}=\sqrt{1-\dfrac{2G_{N}M}{R_{0}c^{2}}}$

$R_{0}=6.1\times 10^{6}$

$M=1.8\times 10^{30}$

$\Delta t_{\infty}=100$

Substituting and solving will give $99.978$

Relativity and time [2]

The answer is 99.978.

1 solution

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