If the rms speed of oxygen molecules at 0^{circ} {C} is 160; {m} / {s}, find the rms speed of hydrogen molecules at 0^{circ} {C}.

Q: If the $rms$ speed of oxygen molecules at $0^{\circ} {C}$ is $160\; {m} / {s}$, find the rms speed of hydrogen molecules at $0^{\circ} {C}$. (In ${m}/{s}$)

a ${V}_{{rms}}=\sqrt{\frac{3 {KT}}{{M}}}$ $\frac{\left({V}_{{ms}}\right)_{{O}_{2}}}{\left({V}_{{mms}}\right)_{{H}_{2}}}=\sqrt{\frac{{M}_{{H}_{2}}}{{M}_{{O}_{2}}}}=\sqrt{\frac{2}{32}}$ $\left({V}_{{rms}}\right)_{{H}_{2}}=4 \times\left({V}_{{rms}}\right)_{{O}_{2}}$ $=4 \times 160$ $=640\, {m} / {s}$

SECTION - A [PHYSICS MCQ]

GSEB - English Medium

If the $rms$ speed of oxygen molecules at $0^{\circ} {C}$ is $160\; {m} / {s}$, find the rms speed of hydrogen molecules at $0^{\circ} {C}$. (In ${m}/{s}$)

A$640$
B$40$
C$80$
D$332$

JEE MAIN 2021, Medium

STD 11 Science
JEE
STD 11 - 12 . kinetic theory of gases
Physics

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