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Answer:
The minimum thickness is 
Explanation:
generally the equation for thin film interference is mathematically represented as

Where t the thickness
m is any integer
n is the refractive index of the film
is the wavelength of light
Since we are looking for the thickness we make t the subject of the formula

m= 0 cause the thickness is minimum at m=0
Substituting values


Explanation:
Given that,
Radius of the circular loop, r = 3.5 cm = 0.035 m
(a) During a 0.12-s time interval, the magnitude of the field increases uniformly from 0.2 T to 0.5 T. Due to the change in the magnetic field, an emf will induced in it. The magnitude of induced emf is given by :

So, the magnitude of the emf induced in the loop during the time interval is
.
(b) The negative sign shows that the direction of induced emf in the loop is in anitclockwise direction.