Home › UP Board Class 12 › Optics › Light of wavelength $500\,\text{nm}$ falls on a …
Light of wavelength $500\,\text{nm}$ falls on a single slit of width $0.1\,\text{mm}$. The angular width of the central maximum in the resulting diffraction pattern is:
A$5 \times 10^{-4}\,\text{rad}$
B$1 \times 10^{-2}\,\text{rad}$
C$1 \times 10^{-3}\,\text{rad}$
D$5 \times 10^{-3}\,\text{rad}$
Answer & Solution
Correct answer: B. $1 \times 10^{-2}\,\text{rad}$
The angular width of the central maximum in single-slit diffraction is $2\lambda/a$, where $a$ is the slit width. $2\lambda/a = 2 \times 500 \times 10^{-9} / (0.1 \times 10^{-3}) = 10^{-2}\,\text{rad}$.
Related questions
In a compound microscope, the lens placed near the object has which property compared withFor correcting myopia, a concave lens is used. According to the convention for lens power,The ability of the eye lens to focus on both nearby and distant objects by changing its foFor a hypermetropic person, the near point has shifted to 1.5 m. Using $f = \dfrac{dD}{d-DA myopic person can clearly see objects only up to 4 m and wants to see objects up to 20 mThe eye defect presbyopia, in which a person loses the power of accommodation for both neaIn a myopic (short-sighted) eye, where is the image of a distant object formed relative toTwo thin lenses of powers $+5\ \text{D}$ and $-2\ \text{D}$ are placed in contact. What is