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fringe width in Young's slit experiment of wave length 7200A⁰ is 0.10mm. find fringe width when distance between source and screen is double and distance of separation is halved when wavelength is wave length is 4500A⁰? |
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Answer» Answer: ♐ FRINGE WIDTH ( ẞ² ) = 0.06 MM ♐ Explanation: ★ WAVE OPTICS ★ ★ GIVEN ; » Fringe Width ( ẞ¹ ) = 0.10 mm » Wavelength ( Lamda 1 ) = 7200 Å » Wavelength ( lambda 2 ) = 4500 Å ★ » Fringe Width ( ẞ² ) = ??? [ ⬜→ EVEN DOUBLING DISTANCE BETWEEN SLITS AND SCREEN WON'T AFFECT " FRINGE WIDTH ". ←⬜ ] ________ [ BY USING FORMULA ] ______ [ ★ [ 0.10 × 10-³ / ẞ² ] = [ 7200 Å / 4500 Å ] » [ 10-⁴ / ẞ² ] = [ 7200 / 4500 ] » ẞ² × 7200 = 4500 × 10-⁴ » ẞ² = [ 4500 × 10-⁴ / 7200 ] » ẞ² = [ 0.625 × 10-⁴ ] ♒» ẞ² = 62.5 μm / MICRO metre « ♒ ——————— [ OR ] ——————— ⏭ ẞ² = 0.06 mm / MILLIMETERS ⏮ ________________________________________ ANSWER :- FRINGE WIDTH OF WAVELENGTH 4500 Å IS ; ♣ ẞ = 0.06 mm ♥ ⏩ NOTE :- FRINGE WIDTH IS ALWAYS MEASURED IN MILLIMETERS AND FRINGE WIDTH IS PROPORTIONAL TO WAVELENGTH . ⏪ |
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