Answer:
Explanation:
12 degree = (π / 180) x 12 radian
= .2093 radian
position of third bright fringe = 3λ D/ d where λ is wave length of light , D is screen distance and d is slit separation
given
3λ D/ d = 30 x 10⁻²
angular separation
3λ / d = .2093
from the two equation
.2093 D= 30 x 10⁻²
D = 30 x 10⁻² / .2093
= 1.43 m
The distance between the double slits and the viewing screen will be "1.43 m". To understand the calculation, check below.
According to the question,
Angle = 12° or,
= ([tex]\frac{\pi}{180}[/tex]) × 12
= 0.2093 radian
Double slit interference pattern, d = 30.0 cm
We know the relation,
→ 3λ [tex]\frac{D}{d}[/tex] = 30 × 10⁻² ...(equation 1)
or, The angular separation be:
→ [tex]\frac{3 \lambda}{d}[/tex] = 0.2093 ...(equation 2)
From equation "1" and "2", we get
0.2093 D = 30 × 10⁻²
D = [tex]\frac{30\times 10^{-2}}{0.2093}[/tex]
= 1.43 m
Thus the above approach is correct.
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