MHT CET · Physics · Wave Optics
In Young's double slit experiment if the slit widths are in the ratio \(1: 9 .\) The ratio of the intensity at minima to that at maxima will be
- A 1
- B \(1 / 9\)
- C 1,4
- D \(1 / 3\)
Answer & Solution
Correct Answer
(C) 1,4
Step-by-step Solution
Detailed explanation
Amplitude of the superimposing waves are
\(
\begin{array}{l}
\frac{a_{1}}{a_{2}}=\left(\frac{1}{9}\right)^{1 / 2}=\frac{1}{3} \\
\frac{I_{\operatorname{minima}}}{I_{\operatorname{maxima}}}=\frac{\left(a_{1}-a_{2}\right)^{2}}{\left(a_{1}+a_{2}\right)^{2}}=\frac{1}{4}
\end{array}
\)
\(
\begin{array}{l}
\frac{a_{1}}{a_{2}}=\left(\frac{1}{9}\right)^{1 / 2}=\frac{1}{3} \\
\frac{I_{\operatorname{minima}}}{I_{\operatorname{maxima}}}=\frac{\left(a_{1}-a_{2}\right)^{2}}{\left(a_{1}+a_{2}\right)^{2}}=\frac{1}{4}
\end{array}
\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- A circular current carrying coil has radius \(\mathrm{R}\). At what distance from the centre of the coil on the axis, the magnetic induction will become \(\frac{1}{8}\) th of its value at the centre of the coil?MHT CET 2020 Hard
- A standing wave having 3 nodes and 2 antinodes is formed between two atoms having a distance \(1.21 Å\) Å between them. The wavelength of the standing wave isMHT CET 2007 Medium
- A sonometer wire is stretched by hanging a metal bob. The fundamental frequency of vibration of wire is ' \(n_1\) '. When the bob is completely immersed in water, the frequency of vibration of wire becomes ' \(n_2\) '. The relative density of the metal of the bob isMHT CET 2024 Hard
- Two plane mirrors are perpendicular to each other. A ray after suffering reflection from the two mirrors will beMHT CET 2007 Medium
- Two uniform brass rods A and B of length ' \(l\) ' and ' \(2 l\) ' and their radii ' \(2 \mathrm{r}\) ' and ' \(\mathrm{r}\) ' respectively are heated to same temperature. The ratio of the increase in the volume of \(\operatorname{rod} \mathrm{A}\) to that of \(\operatorname{rod} \mathrm{B}\) isMHT CET 2023 Medium
- A particle performing S.H.M. starts from the equilibrium position and its time period is seconds. After seconds its velocity is Amplitude of oscillation isMHT CET 2017 Medium
More PYQs from MHT CET
- A box contains 15 green and 10 yellow balls. If 10 balls are randomly drawn, one by one, with replacement, then the variance of the number of green balls drawn isMHT CET 2024 Easy
- Calculate the osmotic pressure of 0.03 mole of non electrolyte solute dissolved in \(0.1 \mathrm{dm}^3\) of water at \(300 \mathrm{~K}\left[\mathrm{R}=0.0821 \mathrm{dm}^3 \mathrm{~atm} \mathrm{~mol}^{-1} \mathrm{~K}^{-1}\right]\)MHT CET 2025 Easy
- The number of positive integral solutions of \(\tan ^{-1} x+\cos ^{-1}\left(\frac{y}{\sqrt{1+y^2}}\right)=\sin ^{-1}\left(\frac{3}{\sqrt{10}}\right)\) areMHT CET 2025 Medium
- Two tuning forks A and B give 5 beats per second. Fork A resonates with a closed air column 20 cm long and fork B with an open air column 40.5 cm long. Neglecting end correction, the frequencies of tuning forks \(A\) and \(B\) are respectively.MHT CET 2025 Medium
- Two metal slabs of same cross-sectional area have thicknesses \(d_1\) and ; and thermal conductivities \(K_1\) and \(K_2\) respectively, are connected in series. The free ends of the two slabs are kept at temperatures \(T_1\) and \(T_2\left(T_1>T_2\right)\). The temperature \(T\) of their common junction isMHT CET 2022 Hard
- Which element from following has half filled 4f orbital at observed ground state?MHT CET 2024 Easy