A) \[\frac{1}{2}\sqrt{15}\]km/s
B) \[\frac{1}{2}\sqrt{10}\]km/s
C) 2.5km/s
D) \[\frac{\sqrt{15}}{2}\]km/s
Correct Answer: D
Solution :
\[{{v}_{rms}}=\sqrt{\frac{v_{1}^{2}+v_{2}^{2}+.....v_{n}^{2}}{n}}\]\[{{v}_{rms}}=\sqrt{\frac{{{(1)}^{2}}+{{(2)}^{2}}+{{(3)}^{2}}+{{(4)}^{2}}}{4}}=\sqrt{\frac{30}{4}}=\sqrt{\frac{15}{2}}km/s\]
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