Question

Green light ( = 541 nm ) strikes a single slit at normal incidence. What width slit will produce a central maximum that is 2.30 cm wide on a screen 1.40 m from the slit?

Answer 1

Answer:

YOUNG'S DOUBLE SLIT EXPERIMENT

Explanation:

GIVEN ;

★ Wavelength { lambda } = 541 nm

★ Y { width of Central Maxima } = 2.3 cm

★ D { Distance between slit and screen }= 1.40 m

★ d { Slit Width } = ???

«★» By Using Formula ;

FOR CENTRAL MAXIMA ;

$y \: = (2 \: \times lambda \: \times d \: ) \div d$

» Y = { 2 × 541 × 10^-9 × D } / d

» 23 × 10-³ = { 2 × 541 × 10^-9 × 1.4 } / d

» d = { 2.8 × 541 × 10^-9 } / 23 × 10-³

» d = { 1514.8 × 10^-9 } / 23 × 10-³

» d = 65.8 × 10^-6

» d = 0.065 × 10-³ m OR 0.065 mm.

ANSWER :- Slit Width For Wavelength Of 541 nm IS 0.065 Millimeters.