JEE Mains · Physics · STD 12 - 10. Wave optics
Visible light of wavelength \(6000 \times 10^{-8}\; \mathrm{cm}\) falls normally on a single slit and produces a diffraction pattern. It is found that the second diffraction minimum is at \(60^{\circ}\) from the central maximum. If the first minimum is produced at \(\theta_{1},\) then \(\theta_{1}\) is close to.....\(^o\)
- A \(20\)
- B \(45\)
- C \(30\)
- D \(25\)
Answer & Solution
Correct Answer
(D) \(25\)
Step-by-step Solution
Detailed explanation
\(\sin \theta=\frac{2 \lambda}{\omega}\) \(\sin 60^{\circ}=\frac{2 \lambda}{\omega}\) \(\sin \theta_{1}=\frac{\lambda}{\omega}=\frac{\sqrt{3}}{4}\) \(\theta_{1}=25^{\circ}\)
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
- What is the relative decrease in focal length of a lens for an increase in optical power by 0.1 D from 2.5D ? ['D' stands for dioptre]JEE Mains 2025 Medium
- An engine operates by taking \(n\,moles\) of an ideal gas through the cycle \(ABCDA\) shown in figure. The thermal efficiency of the engine is : (Take \(C_v =1 .5\, R\), where \(R\) is gas constant)
JEE Mains 2017 Hard - A tiny metallic rectangular sheet has length and breadth of 5 mm and 2.5 mm , respectively. Using a specially designed screw gauge which has pitch of 0.75 mm and 15 divisions in the circular scale, you are asked to find the area of the sheet. In this measurement, the maximum fractional error will be \(\frac{x}{100}\) where \(x\) is _________.JEE Mains 2025 Medium
- An excited \(He^+\) ion emits two photons in succession, with wavelengths \(108.5\, nm\) and \(30.4\, nm\), in making a transition to ground state. The quantum number \(n\), corresponding to its initial excited state is \(n=........\) (for photon of wavelength \(\lambda \), energy \(E = \frac{{1240\,eV}}{{\lambda \,(in\,nm)}}\))JEE Mains 2019 Medium
- The root mean square speed of molecules of nitrogen gas at \(27^{\circ} C\) is approximately\(.......m/s\)(Given mass of a nitrogen molecule \(=4.6 \times 10^{-26}\,kg\) and take Boltzmann constant \(k _{ B }=1.4 \times 10^{-23}\,JK ^{-1}\) )JEE Mains 2023 Easy
- During the propagation of electromagnetic waves in a mediumJEE Mains 2014 Easy
More PYQs from JEE Mains
- Let \(A=\left[\begin{array}{lll}x & y & z \\ y & z & x \\ z & x & y\end{array}\right], \quad\) where \(x, y\) and \(z\) are real numbers such that \(x + y + z >0\) and \(xyz =2\) If \(A ^{2}= I _{3},\) then the value of \(x ^{3}+ y ^{3}+ z ^{3}\) is ............JEE Mains 2021 Hard
- The mean and standard deviation of \(50\) observations are \(15\) and \(2\) respectively. It was found that one incorrect observation was taken such that the sum of correct and incorrect observations is \(70\) . If the correct mean is \(16\) , then the correct variance is equal toJEE Mains 2022 Medium
- If \(\vec a \,\) and \(\vec b \,\) are non-collinear vectors, then the value of \(\alpha \) for which the vectors \(\vec u = \left( {\alpha - 2} \right)\vec a \, + \vec b \) and \(\,\vec v = \left( {2 + 3\alpha } \right)\vec a \, - 3\vec b \) are collinear is :JEE Mains 2013 Hard
- Let \(f\) and \(g\) be two differentiable functions on \(R\) such that \(f'(x) > 0\) and \(g'(x) < 0\) for all \(x\in R\) .Then for all \(x\)JEE Mains 2014 Hard
- If the velocity of a body related to displacement \({x}\) is given by \(v=\sqrt{5000+24 {x}} \;{m} / {s}\), then the acceleration of the body is \(\ldots \ldots {m} / {s}^{2}\)JEE Mains 2021 Hard
- Let \(f: \mathbb{R} \rightarrow \mathbb{R}\) be such that \(f(xy) = f(x)f(y)\), for all \(x, y \in \mathbb{R}\) and \(f(0) \neq 0\). Let \(g: [1, \infty) \rightarrow \mathbb{R}\) be a differentiable function such that
\(x^2 g(x) = \int\limits_1^x (t^2 f(t) - tg(t))\,dt\).
Then \(g(2)\) is equal to :JEE Mains 2026 Hard