How to get the value of Rydberg's constant (R) and n_2?
Based from the formula
1/λ = R ( 1/ (n_2)^2 - 1/(n_1)^2 )
If I get the graph of 1/λ (y-axis) vs. 1/(n_1)^2 (x-axis), how do I get the value of R based from the slope and n_2 based from the y-intercept? Thank you :D
- Steve4PhysicsLv 77 years agoFavorite Answer
1/λ = R (1/n₂² - 1/n₁²)
1/λ = R/n₂² - R(1//n₁²) (equation 1)
You need to be sure which quantities are variables and which are constants.
1/λ and 1/n₁² are variable quantities
R and 1/n₂² are constants.
Compare equation 1 to y = c + mx and you can see:
- the variable y is equivalent to 1/λ
- the variable x is equivalent to 1/n₁²
- the constant m is equivalent to -R
- the constant c is equivalent to R/n₂²
FInd the gradient (which should be negative); since gradient = -R, R = - gradient.
Find the 1/λ intercept and then use:
Intercept = R/n₂²
n₂ = √(R/intercept)
n₂ should work out to be (close to) an integer.
If you are using SI units, make sure λ is in metres, so 1/λ has units of m⁻¹ by the way.