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← JEE Main 2022 · 25 Jul · Shift 2
PhysicsSingle correct+4 / -1Question 44 of 90

JEE Main 2022 · 25 Jul · Shift 2, Physics question 44

Sound travels in a mixture of two moles of helium and n moles of hydrogen. If rms speed of gas molecules in the mixture is 2\sqrt2 times the speed of sound, then the value of n will be :

Choose one option
Answer and worked solution

Official answer: B

Ratio 3/γ=2\sqrt{3/\gamma}=\sqrt2 gives γ=32\gamma=\frac32.

Mixture. γ=5+3.5n3+2.5n=32\gamma=\dfrac{5+3.5n}{3+2.5n}=\frac32 gives n=2n=2.

(B)