In Youngs double slit experiment, light waves of wavelength 5.4 × 102 nm and 68.5 × 101 nm are used in turn, keeping the same geometry of the set up. The ratio of the fringe widths in two cases is

Question

In Youngs double slit experiment, light waves of wavelength 5.4 × 102 nm and 68.5 × 101 nm are used in turn, keeping the same geometry of the set up. The ratio of the fringe widths in two cases is (A) 1.3 (B) 4.3 (C) 7.9 (D) 9.5

Tardigrade Admin · Accepted Answer

Fringe width, β = (Dλ/d) ∴ (β1/β2) = (λ1/λ2) =( 5.4×102/68.5×101) = 7.9

Q. In Youngs double slit experiment, light waves of wavelength $5.4 \times 1 0^{2} nm$ and $68.5 \times 1 0^{1} nm$ are used in turn, keeping the same geometry of the set up. The ratio of the fringe widths in two cases is

$1.3$

$4.3$

$7.9$

$9.5$

$F r in g e w i d t h, β = \frac{D λ}{d}$
$∴ \frac{β _{1}}{β _{2}} = \frac{λ _{1}}{λ _{2}}$
$= \frac{5.4 \times 1 0 ^{2}}{68.5 \times 1 0 ^{1}} = 7.9$

Q. In Youngs double slit experiment, light waves of wavelength 5.4×102nm and 68.5×101nm are used in turn, keeping the same geometry of the set up. The ratio of the fringe widths in two cases is

1.3

4.3

7.9

9.5