Question

Four molecules have speeds of 1 km/s, 2 km/s, 3 km/s and 4 km/s. Root mean square
velocity of these molecules in km/s is
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Answer 1

Answer:

2.7km/s

Explanation:

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root mean square speed is given by,

$u(rms) = \sqrt{ ({u(1)}^{2} + {u(2)}^{2} + {u(3)}^{2} + {u(4)}^{2})/4 } \\ = \sqrt{( {1}^{2} + {2}^{2} + {3}^{2} + {4}^{2} )/4 } \\ = \sqrt{((1) + (4) + (9) + (16))/4} \\ = \sqrt{30/4} \\ = 2.7$

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