In Young's double slit experiment,the two slits act as coherent sources of equal amplitude $A$ and wavelength $\lambda$. In another experiment with the same setup,the two slits are sources of equal amplitude $A$ and wavelength $\lambda$,but are incoherent. The ratio of the intensity of light at the midpoint of the screen in the first case to that in the second case is:
- A$1 : 1$
- B$1 : 2$
- C$2 : 1$
- D$4 : 1$
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Using the Trapezoidal rule,find the approximate value of $\int_1^4 y \, dx$ based on the following table:
$x$ $1$ $2$ $3$ $4$ $y$ $0.7111$ $0.7222$ $0.7333$ $0.7444$
(in $.1833$)
| $x$ | $1$ | $2$ | $3$ | $4$ |
|---|---|---|---|---|
| $y$ | $0.7111$ | $0.7222$ | $0.7333$ | $0.7444$ |
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