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A He atom at 300 K is released from the surface of the earth to travel upwards. Assuming that it undergoes no collision with other molecules, how high will it be before coming to the rest?

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A He atom at 300 K is released from the surface of the earth to travel upwards. Assuming that it undergoes no collision with other molecules, how high will it be before coming to the rest?

(a) 9.53 m

(b) 95.3 m

(c) 953 m

(d) 9.53 × 104 m

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Correct answer: (d) 9.53 × 104 m

Explanation:

\(\frac{3}{2}k_BT\) = mgh

h = \(\frac{3}{2}\) x \(\frac{1.38 \times 10^{-23} \times 300}{9.81 \times 4 \times 1.66 \times 10^{-27}}\)

= 9.53 × 104 m

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