If a particle performs SHM then it is given by `y=150sin(40t-12x)`. what is the value of wavelength?

Explanation

From diagram path difference between the waves from L and N `= a sin theta`
When first minimum is obtained at P, then path difference `= lambda`
Wavelets from first half of the slit has a corresponding wavelet from second half of the slit differing by a path of `(lambda)/(2)` and cancel each other ]
Condition for first minimum -
`lambda= a sin theta`
(b) We know that `beta_( cm) = ( 2 lambda D)/(d)`
(i) increases , (ii) increases
(c) `10(lambda)/(d)= 2 (lambda)/(a)`
Or `a = (d)/(5)= 0.2 mm`