Answer:
a)θ =0.0109 rad
b)y=0.53 cm
Explanation:
a). Given that
Distance = 90 wavelength
d= 90 λ
As we know that
[tex]sin\theta =\dfrac{\lambda }{d}[/tex]
θ =Angular separation
Now putting the values
[tex]sin\theta =\dfrac{\lambda }{d}[/tex]
[tex]sin\theta =\dfrac{\lambda }{90\lambda}[/tex]
θ = 0.63 °
θ =0.0109 rad
b)
Given that D= 49 cm
The distance y given as
[tex]y=D\ tan\theta[/tex]
Now by putting the values
[tex]y=D\ tan\theta[/tex]
[tex]y=49\times tan0.63^{\circ}[/tex]
y=0.53 cm