Which approximation was made when deriving the formula for finding bright spots? a. tan(x) roughly equal...

Question

Question

Which approximation was made when deriving the formula for finding bright spots?

a. tan(x) roughly equal to sin(x)

b. tan(x) roughly equal to cos(x)

c. sin(x) roughly equal to x

d. cos(x) roughly equal to x

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Answer 1

Answer #1

In the derivation of formula for finding bright spots,

$\sin x= \frac{PD}{d}$

where is the path difference between the two light rays from the slits and is the separation of the two slits

Also,

$\tan x = \frac{y}{L}$

where is the distance from the slits to the screen and is the distance of the first antinode from the central bright spot

The angle is very small for this experiment, therefore the approximation applied is

tan(x) roughly equal to sin(x)

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Answer 2

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