question 10 (1 point)\nwhich statement is true concerning the interference pattern from a double-slit…
question 10 (1 point)\nwhich statement is true concerning the interference pattern from a double-slit experiment?\na. the dark fringes appear equally spaced.\nb. the dark fringes increase spacing farther from the centreline.\nc. the spacing of the bright fringes is twice that of the dark fringes.\nd. the spacing of the dark fringes is twice that of the bright fringes.
Answer
Explanation:
Step1: Identify the fringe spacing formula
In a double-slit experiment, the fringe spacing $\Delta y$ is the distance between consecutive bright or dark fringes. $$\Delta y = \frac{\lambda L}{d}$$
Step2: Analyze the spacing of dark fringes
The positions of dark fringes are given by $y_m = (m + \frac{1}{2})\frac{\lambda L}{d}$. The distance between any two consecutive dark fringes is constant. $$\Delta y_{dark} = y_{m+1} - y_m = \frac{\lambda L}{d}$$
Step3: Compare with bright fringe spacing
The positions of bright fringes are $y_m = m\frac{\lambda L}{d}$. The distance between consecutive bright fringes is also constant. $$\Delta y_{bright} = \frac{\lambda L}{d}$$
Step4: Evaluate the given options
Since $\Delta y$ depends only on wavelength $\lambda$, screen distance $L$, and slit separation $d$, the fringes are equally spaced.
Answer:
a. The dark fringes appear equally spaced.