TS EAMCET 4-Aug-2021 Shift 2 Question Paper

Nodes separated by distance L′=λ∕2=L
As we know that,
v=√‌

γp

ρ

=√‌

γRT

m

. . . (i)
where, p= pressure, ρ= density
and ‌‌f=‌

v

λ

∴‌‌v=fλ . . . (ii)
where, v is speed of sound and λ is wavelength =2L.
From Eqs. (i) and (ii), we get
fλ=√‌

γRT

m

On squaring both sides, we get
f2λ2‌‌=‌

γRT

m

γ‌‌=‌

f2λ2m

RT

‌‌=‌

f2(2L)2m

RT

=‌

4f2L2m

RT