In fig., light of wavelength `lambda = 5000 Å` is incident on the slits (in a horizontally fixed place).
Here, `d = 1 mm` and `D = 1 m`
Take origin at O and XY plane as shown in the figure. The screen is released from rest from the initial position as shown

Acceleration of 3rd maxima w.r.t. 3rd maxiam on other side of central maxima at `t = 3` s is

Options

A. `0.02 m s^(-1) hat i`
B. `0.03 m s^(-1) hat i`
C. `10 m s^(-1) hat j`
D. `0.6 m s^(-2) hat i`

Answer

a

Explanation

`=N287b`. Location of Q287 maxima is `N288((3 lambda Q286)/(d) , D')`
Location of `3^(rd)` maxima on the other side is `((- (3 lambda D')/(d) , D'))`
`(vec a_(3rd))/(-3rd) = [(3l lambda)/(d) g - ((-3 lambda g)/(d))] hat i = (6 lambda g)/(d) hat i = 0.03 m s^(-2) hat i`