devarshi-dt-logo

Question:

For emission line of atomic hydrogen from ni=8 to nf, the plot of wave number (ṽ) against (1/n²) will be: (The Rydberg constant, RH is in wave number unit).

non linear

linear with slopeRH

linear with intercept −RH

linear with slope −RH

Solution:

1/λ = ṽ = RHZ²(1/n₁² - 1/n₂²)
ṽ = RH × (1/n₁² - 1/8²)
ṽ = RH × 1/n₂² - RH/64
m = RH
Linear with slope RH