A single slit diffraction experiment is performed to determine the slit width using the equation, \frac{b d}{D}=m \lambda, where b is the slit width, D the shortest distance between the slit and the screen, d the distance between the m^{\text{th }} diffraction maximum and the central maximum, and \lambda is the wavelength. D and d are measured with scales of least count of 1 cm and 1 mm , respectively. The values of \lambda and m are known precisely to be 600 nm and 3 , respectively. The absolute error (in \mu {\m} ) in the value of b estimated using the diffraction maximum that occurs for m=3 with d=5 {\mm} and D=1 {\m} is [JEE Adv 2025 P1]

Wave Optics

Section: Physics

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A single slit diffraction experiment is performed to determine the slit width using the equation, ‌

=mλ, where b is the slit width, D the shortest distance between the slit and the screen, d the distance between the m‌th ‌ diffraction maximum and the central maximum, and λ is the wavelength. D and d are measured with scales of least count of 1 cm and 1 mm , respectively. The values of λ and m are known precisely to be 600 nm and 3 , respectively. The absolute error (in µm ) in the value of b estimated using the diffraction maximum that occurs for m=3 with d=5‌mm and D=1m is

[JEE Adv 2025 P1]

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