The Rydberg equation (1=Rni 2–Rnf 2) can be treated as a line equation. What is the value of nf as a function of the slope (m) and y-intercept(b)?
A. –mb^2
B. (–m/b)^(1/2)
C. m/b
D. (m/b)^(1/2)
E. (mb)(1/2)
F. None of these are correct.
F is not he right answer
To find the value of nf as a function of the slope (m) and y-intercept (b) in the Rydberg equation, we need to rearrange the equation to isolate nf. The Rydberg equation is given as:
1/R = (1/ni^2) - (1/nf^2)
First, let's solve this equation for 1/nf^2:
1/nf^2 = 1/R - 1/ni^2
Now, let's rearrange the equation to isolate nf:
1/nf^2 = (ni^2 - R) / (R * ni^2)
To get nf, we need to take the reciprocal of both sides of the equation:
nf^2 = (R * ni^2) / (ni^2 - R)
Taking the square root of both sides gives us:
nf = √[(R * ni^2) / (ni^2 - R)]
Now, we can find nf as a function of the slope (m) and y-intercept (b). However, the given answer choices are not in terms of m and b, so none of them are correct (F).