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The speed of sound in oxygen $(O_{2})$ at certain temperature is $460 m / \sec$ . The speed of sound in Helium (He) at same temperature will be (assumed both gases to be ideal)

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460 m/s

500 m/s

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1420 m/s

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detailed solution

Correct option is D

Speed of sound in gas V=γRTm ∴ V1V2=γ1γ2×m2m1=75×453×32 ⇒460V2=2125×8 ⇒V2=460×5×2221=1420 m/sec

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The speed of sound in oxygen O2 at certain temperature is 460 m/sec. The speed of sound in Helium (He) at same temperature will be (assumed both gases to be ideal)

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The speed of sound in oxygen $(O_{2})$ at certain temperature is $460 m / \sec$ . The speed of sound in Helium (He) at same temperature will be (assumed both gases to be ideal)