In Young's double slit experiment, if the slit widths are in the ratio 1: 9, then the ratio of the intensity at minima to that at maxima will be

Question

In Young's double slit experiment, if the slit widths are in the ratio 1: 9, then the ratio of the intensity at minima to that at maxima will be (A) 1 (B) 1/9 (C) 1/4 (D) 1/3

Tardigrade Admin · Accepted Answer

Slit width ratio =1: 9 Since slit width ratio is the ratio of intensity and intensity propto (amplitude) 2 ∴ I1: I2=1: 9 ⇒ a12: a22=1: 9 ⇒ a1: a2=1: 3

Q. In Young's double slit experiment, if the slit widths are in the ratio $1 : 9$ , then the ratio of the intensity at minima to that at maxima will be

1

1/9

1/4

1/3

Slit width ratio $= 1 : 9$
Since slit width ratio is the ratio of intensity and intensity $\propto$ (amplitude) $^{2}$
$∴ I_{1} : I_{2} = 1 : 9$
$\Rightarrow a_{1}^{2} : a_{2}^{2} = 1 : 9$
$\Rightarrow a_{1} : a_{2} = 1 : 3$

Q. In Young's double slit experiment, if the slit widths are in the ratio 1:9, then the ratio of the intensity at minima to that at maxima will be

1

1/9

1/4

1/3

Slit width ratio =1:9 Since slit width ratio is the ratio of intensity and intensity ∝ (amplitude) 2 ∴I1​:I2​=1:9 ⇒a12​:a22​=1:9 ⇒a1​:a2​=1:3

Q. In Young's double slit experiment, if the slit widths are in the ratio $1 : 9$ , then the ratio of the intensity at minima to that at maxima will be

Slit width ratio $= 1 : 9$
Since slit width ratio is the ratio of intensity and intensity $\propto$ (amplitude) $^{2}$
$∴ I_{1} : I_{2} = 1 : 9$
$\Rightarrow a_{1}^{2} : a_{2}^{2} = 1 : 9$
$\Rightarrow a_{1} : a_{2} = 1 : 3$