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The speed of sound in oxygen ({O}_{2}) at a certain temperatur

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Medium

Solving time: 3 mins

The speed of sound in oxygen $(O_{2})$ at a certain temperature is $460 ms^{- 1}$ . The speed of sound in helium (He) at the same temperature will be (assume both gases to be ideal)
(a) $460 ms^{- 1}$
(b) $500 ms^{- 1}$
(c) $650 ms^{- 1}$
(d) $1420 ms^{- 1}$

Views: 6,351 students

Book:

Arihant Physics JEE Main Chapterwise Solutions (2019-2002) (Arihant)

Exam:

JEE Mains 2008

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The speed of sound in oxygen

(O_{2})

at a certain temperature is

460 ms^{- 1}

. The speed of sound in helium (He) at the same temperature will be (assume both gases to be ideal)
(a)

460 ms^{- 1}

(b)

500 ms^{- 1}

(c)

650 ms^{- 1}

(d)

1420 ms^{- 1}

5 mins ago

Discuss this question LIVE

5 mins ago

Text solutionVerified

Exp. (d)
Speed of sound is given by

v = \frac{γ RT}{M}

v_{O_{2}} = \frac{\frac{7}{5} RT}{32}

and

v_{He} = \frac{\frac{5}{3} RT}{4}

∴ \frac{V _{O_{2}}}{v _{He}} = \frac{7 \times 3 \times 4}{5 \times 32 \times 5}

v_{He} = 460 \times \frac{5 \times 32 \times 5}{7 \times 3 \times 4} = 1420 ms^{- 1}

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Question Text	The speed of sound in oxygen $(O_{2})$ at a certain temperature is $460 ms^{- 1}$ . The speed of sound in helium (He) at the same temperature will be (assume both gases to be ideal) (a) $460 ms^{- 1}$ (b) $500 ms^{- 1}$ (c) $650 ms^{- 1}$ (d) $1420 ms^{- 1}$
Topic	Waves
Subject	Physics
Class	Class 11
Answer Type	Text solution:1
Upvotes	83

The speed of sound in oxygen $(O_{2})$ at a certain temperature is $460 ms^{- 1}$ . The speed of sound in helium (He) at the same temperature will be (assume both gases to be ideal)
(a) $460 ms^{- 1}$
(b) $500 ms^{- 1}$
(c) $650 ms^{- 1}$
(d) $1420 ms^{- 1}$

Text solutionVerified

Questions from JEE Mains 2008 - PYQs

Practice questions from Arihant Physics JEE Main Chapterwise Solutions (2019-2002) (Arihant)

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The speed of sound in oxygen (O2​) at a certain temperature is 460 ms−1. The speed of sound in helium (He) at the same temperature will be (assume both gases to be ideal)(a) 460 ms−1(b) 500 ms−1(c) 650 ms−1(d) 1420 ms−1

Text solutionVerified

Questions from JEE Mains 2008 - PYQs

Practice questions from Arihant Physics JEE Main Chapterwise Solutions (2019-2002) (Arihant)

Practice more questions from Waves

Practice questions on similar concepts asked by Filo students

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Previous year question papers

The speed of sound in oxygen $(O_{2})$ at a certain temperature is $460 ms^{- 1}$ . The speed of sound in helium (He) at the same temperature will be (assume both gases to be ideal)
(a) $460 ms^{- 1}$
(b) $500 ms^{- 1}$
(c) $650 ms^{- 1}$
(d) $1420 ms^{- 1}$