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Chemistry Question on States of matter

Points I, II and III in the following plot respectively correspond to (Vmp:V_{mp} : most probable velocity)

A

Vmp  of  N2(300K);Vmp  of  H2(300K);Vmp  of  O2(400K){V_{mp} \; of \; N_2 (300K); V_{mp} \; of \; H_2(300K); V_{mp} \; of \; O_2(400K)}

B

Vmp  of  H2(300K);Vmp  of  N2(300K);Vmp  of  O2(400K){V_{mp} \; of \; H_2 (300K); V_{mp} \; of \; N_2(300K); V_{mp} \; of \; O_2(400K)}

C

Vmp  of  O2(300K);Vmp  of  N2(300K);Vmp  of  H2(400K){V_{mp} \; of \; O_2 (300K); V_{mp} \; of \; N_2(300K); V_{mp} \; of \; H_2(400K)}

D

Vmp  of  N2(300K);Vmp  of  O2(300K);Vmp  of  H2(400K){V_{mp} \; of \; N_2 (300K); V_{mp} \; of \; O_2(300K); V_{mp} \; of \; H_2(400K)}

Answer

Vmp  of  N2(300K);Vmp  of  O2(300K);Vmp  of  H2(400K){V_{mp} \; of \; N_2 (300K); V_{mp} \; of \; O_2(300K); V_{mp} \; of \; H_2(400K)}

Explanation

Solution

Vmp=2RTM⇒Vmp∝TMV_{mp} = \sqrt{\frac{2RT}{M} } \Rightarrow V_{mp} \propto \sqrt{\frac{T}{M}}
For N2,O2,H2N_{2} , O_{2} , H_{2}
30028<40032<3002\sqrt{\frac{300}{28}} < \sqrt{\frac{400}{32}} < \sqrt{\frac{300}{2}}
Vmp  of  N2(300K)<Vmp  of  O2(400K)<Vmp  of  H2(300K)V_{mp} \; \text{of} \; N_{2} \left(300K\right) < V_{mp} \; \text{of} \; O_{2} \left(400 K\right) < V_{mp} \; \text{of} \; H_{2} \left(300 K\right)