In a single slit diffraction pattern, a light of wavelength 6000 Ao is used. The distance between the first and third minima in the diffraction…

Question

In a single slit diffraction pattern, a light of wavelength 6000 Ao is used. The distance between the first and third minima in the diffraction pattern is found to be 3 mm when the screen is placed 50 cm away from slits. The width of the slit is ____×10^(-4) m.

MARKS Content Team · Accepted Answer

Correct answer: 2. For n^th minima: ⇒bsinθ=nλ (λ is very small, so sinθ is very small, hence sinθ≃tanθ. ⇒btanθ=nλ ⇒by/D=nλ ⇒y_n=(nλD)/b (Position of n^th minima) B→1^st minima and A→3^rd: y_3=(3λD)/b,y_1=(λD)/b ⇒Δy=y_3-y_1=(2λD)/b ⇒3×10^(-3)=(2×6000×10^(-10)×0.5)/b ⇒b=(2×6000×10^(-10)×0.5)/(3×10^(-3)) ⇒b=2×10^(-4) m

In a single slit diffraction pattern, a light of wavelength $6000 \overset{o}{A}$ is used. The distance between the first and third minima in the diffraction pattern is found to be $3 mm$ when the screen is placed $50 cm$ away from slits. The width of the slit is ____ $\times 10^{- 4} m$ .

Solution

Relevant Questions

In a single slit diffraction pattern, a light of wavelength 6000 Ao is used. The distance between the first and third minima in the diffraction pattern is found to be 3 mm when the screen is placed 50 cm away from slits. The width of the slit is ____×10-4 m.

Solution

Relevant Questions

In a single slit diffraction pattern, a light of wavelength $6000 \overset{o}{A}$ is used. The distance between the first and third minima in the diffraction pattern is found to be $3 mm$ when the screen is placed $50 cm$ away from slits. The width of the slit is ____ $\times 10^{- 4} m$ .