Question 145: Wave Optics

Question

In a Young's double slit experiment, the slits are placed 0.320 mm apart. Light of wavelength $$\lambda $$ = 500 nm is incident on the slits. The total number of bright fringes that are observed in the angular range $$-$$ 30
o
$$ \le $$$$	heta $$$$ \le $$30
o
is :

Accepted Answer

We know, path difference,
d sin$$	heta $$ = n$$\lambda $$
here  n  = no of bright fringer in the angle
here given
d = 0.32 $$ 	imes $$ 10
-3
m
$$\lambda $$ = 500 $$ 	imes $$ 10
$$-$$9
m
$$ 	herefore $$  0.32 $$ 	imes $$ 10
$$-$$3
sin30
o
= n $$ 	imes $$ 500 $$ 	imes $$ 10
$$-$$9
$$ \Rightarrow $$  n = 320
Total number of maxima in the range
$$-$$ 30
o
$$	heta $$ $$ \le $$ 30
o
is = 320 $$ 	imes $$ 2 + 1 = 641

Answer

640

Answer

320

Answer

321

Answer

641

Wave Optics

In a Young's double slit experiment, the slits are placed 0.320 mm apart. Light of wavelength $\lambda = 500 nm is incident on the slits. The total number of bright fringes that are observed in the angular range - 30 o \le \theta \le $30 o is :

Choose the correct answer: