At what temperatures (in 0C) will the speed of sound in air be 3 times its value at OoC?

This is a short answer type question as classified in NCERT Exemplar we know the speed of air v ∝ T v t v o = T T T o = T T 273 V T V o = 3 1 3/1 = T T T o = T T 273 = 9 TT=273 * 9 = 2457 K =2457-273=2184 oC

At what temperatures (in ⁰C) will the speed of sound in air be 3 times its value at O^oC?

2 Views|Posted 7 months ago

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Payal Gupta | Contributor-Level 10

7 months ago

This is a short answer type question as classified in NCERT Exemplar

we know the speed of air v $\propto \sqrt[]{T}$

$\frac{v_{t}}{v_{o}} = \sqrt[]{\frac{T_{T}}{T_{o}}} = \sqrt[]{\frac{T_{T}}{273}}$

$\frac{V_{T}}{V_{o}} = \frac{3}{1}$

3/1 = $\sqrt[]{\frac{T_{T}}{T_{o}}} = \frac{T_{T}}{273} = 9$

T_T=273 $* 9 = 2457 K$

=2457-273=2184 ^oC

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