Three of the fundamental constants of physics are the universal gravitational constant, \( \math....

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Three of the fundamental constants of physics are the universal gravitational constant, \( \mathrm{G}=6.7 \times 10^{-11} \mathrm{~m}^{3} \mathrm{~kg}^{-1} \mathrm{~s}^{-2} \),
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the speed of light, \( \mathrm{c}=3.0 \times 10^{8} \mathrm{~m} / \mathrm{s} \), and planck's constant, \( \mathrm{h}=6.6 \times 10^{-34} \mathrm{~kg} \mathrm{~m}^{2} \mathrm{~s}^{-1} \).

Find a combination of these three constant that has the dimensions of time. The time is called the planck time and represents the age of the universe before which the laws of physics as presently understood cannot be applied.
(A) \( \sqrt{\frac{h G}{c^{4}}} \)
(B) \( \sqrt{\frac{h G}{c^{3}}} \)
(C) \( \sqrt{\frac{h G}{c}} \)
(D) \( \sqrt{\frac{h G}{c^{5}}} \)


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