The stopping potential for electrons emitted from a surface illuminated by light of wavelength 491 nm is 0.710 V. When the incident wavelength is changed to a new value, the stopping potential is 1.43 V. (a) What is this new wave- length? (b) What is the work function for the surface?

Explanation

To solve the problem, we need to find the new wavelength of light that results in a stopping potential of 1.43 V, and also determine the work function of the surface. We will use the photoelectric effect equations to do this.

### Step-by-Step Solution:

**Given:**
1. Wavelength for the first case, \( \lambda_1 = 491 \, \text{nm} \)
2. Stopping potential for the first case, \( V_{0_1} = 0.710 \, \text{V} \)
3. Stopping potential for the second case, \( V_{0_2} = 1.43 \, \text{V} \)
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