The temperature at which the speed of sound will be same in oxygen as the speed in nitrogen at ISC is (Densities are in the ratio 16:14)

Question

The temperature at which the speed of sound will be same in oxygen as the speed in nitrogen at ISC is (Densities are in the ratio 16:14) (A) 561° C (B) 56° C (C) 5.61° C (D) 5.061° C

Tardigrade Admin · Accepted Answer

C =√&gamma; ( ρ / e )=√(&gamma; ⋅ K ⋅ T / m ) ( e 1/ e 2)=( m 1/ m 2) (&gamma;1 T 1/ m 1)=(&gamma;2 T 2/ m 2) &gamma;1=&gamma;2 ( T 1/ m 1) × m 2= T 2 T 2=( 1 6 / 4 ) × 2 8 8 = 3 2 9 K T 2= 5 6 ° C

Q. The temperature at which the speed of sound will be same in oxygen as the speed in nitrogen at $I S^{C}$ is (Densities are in the ratio 16:14)

$56 1^{\circ} C$

$5 6^{\circ} C$

$5.6 1^{\circ} C$

$5.06 1^{\circ} C$

$C = γ \frac{ρ}{e} = \frac{γ \cdot K \cdot T}{m}$
$\frac{e _{1}}{e _{2}} = \frac{m _{1}}{m _{2}}$
$\frac{γ _{1} T _{1}}{m _{1}} = \frac{γ _{2} T _{2}}{m _{2}}$
$γ_{1} = γ_{2}$
$\frac{T _{1}}{m _{1}} \times m_{2} = T_{2}$
$T_{2} = \frac{16}{4} \times 288 = 329 K$
$T_{2} = 5 6^{\circ} C$

Q. The temperature at which the speed of sound will be same in oxygen as the speed in nitrogen at ISC is (Densities are in the ratio 16:14)

561∘C

56∘C

5.61∘C

5.061∘C