Chapter 19, Problem 7STP

To determine

To Choose: The correct option.

Answer to Problem 7STP

Option B

Explanation of Solution

Given:

Distance between center bright band to second order bright band, $y=0.082\text{m}$

Distance between slits, $d=5.3\times {10}^{-5}\text{m}$

Distance between screen and the slits, $D=4.200\text{m}$

Order, $n=2$

Formula used:

The wavelength of the

  $\lambda =\frac{dy}{nD}$

Calculations:

Substitute the values:

  $\begin{array}{c}\lambda =\frac{dy}{nD}\\ =\frac{5.3\times {10}^{-5}\text{m}\times 0.082\text{m}}{2\times 4.200}\\ =5.2\times {10}^{-7}\text{m}\end{array}$

Conclusion:

Thus, option B is correct.