JEE Mains · Physics · STD 12 - 10. Wave optics
If the measured angular separation between the second minimum to the left of the central maximum and the third minimum to the right of the central maximum is \(30^{\circ}\) in a single slit diffraction pattern recorded using 628 nm light, then the width of the slit is _______ \(\mu \mathrm{m}\).
- A 6
- B 8
- C 10
- D 12
Answer & Solution
Correct Answer
(A) 6
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \theta_1=\sin ^{-1}\left(\frac{2 \lambda}{a}\right) \\ & \theta_2=\sin ^{-1}\left(\frac{3 \lambda}{a}\right) \\ & \because \quad \theta_1+\theta_2=30^{\circ}\end{aligned}\)…
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
- Two particles of equal mass \(\mathrm{m}\) have respective initial velocities \(u\hat{i}\) and \(u\left(\frac{\hat{\mathrm{i}}+ \hat{\mathrm{j}}}{2}\right) .\) They collide completely inelastically. The energy lost in the process isJEE Mains 2020 Hard
- A proton and an electron have the same de Broglie wavelength. If \(K_p\) and \(K_e\) be the kinetic energies of proton and electron respectively. Then choose the correct relation :JEE Mains 2024 Hard
- Electromagnetic waves travel in a medium with speed of \(1.5 \times 10^8 \mathrm{~ms}^{-1}\). The relative permeability of the medium is \(2.0\) . The relative permittivity will be _______.JEE Mains 2024 Hard
- Two cells of emfs \(1\) V and \(2\) V and internal resistance \(2\,\Omega\) and \(1\,\Omega\), respectively connected in parallel, gave a current of \(1\) A through an external resistance. If the polarity of one cell is reversed, then value of current through the external resistance will be \(\dfrac{\alpha}{5}\) A. The value of \(\alpha\) is __________.JEE Mains 2026 Hard
- The centre of mass of a solid hemisphere of radius \(8\, cm\) is \(X \,cm\) from the centre of the flat surface. Then value of \(x\) is\(......\)JEE Mains 2020 Medium
- The graph shows variation of stopping potential \(V_o\) with the frequency \(\nu\) of the incident radiation for three photosensitive metals \(X_1\), \(X_2\) and \(X_3\). Which metal will give out electrons with greater kinetic energy, for the same wavelength of incident radiation?
JEE Mains 2026 Medium
More PYQs from JEE Mains
- If one of the diameters of the circle \(x^2+y^2-10 x+\) \(4 y+13=0\) is a chord of another circle \(C,\) whose center is the point of intersection of the lines \(2 x+\) \(3 y=12\) and \(3 x-2 y=5\), then the radius of the circle \(\mathrm{C}\) isJEE Mains 2024 Medium
- A cylindrical tube AB of length \(l\), closed at both ends contains an ideal gas of 1 mol having molecular weight M. The tube is rotated in a horizontal plane with constant angular velocity \( \omega \) about an axis perpendicular to AB and passing through the edge at end A. If \( P_{A} \) and \( P_{B} \) are the pressures at A and B respectively, then (Consider the temperature is same at all points in the tube)
JEE Mains 2026 Hard - If \(x,y,z\) are in \(A.P.\) and \({\tan ^{ - 1}}x,{\tan ^{ - 1}}y\) and \({\tan ^{ - 1}}z\) are also in other \(A.P.\) then . . .JEE Mains 2013 Medium
- A steel rod has a radius of \(20\,mm\) and a length of \(2.0\,m\). A force of \(62.8\,kN\) stretches it along its length. Young's modulus of steel is \(2.0 \times 10^{11}\,N / m ^2\). The longitudinal strain produced in the wire is \(..........\times 10^{-5}\)JEE Mains 2023 Easy
- A leak proof cylinder of length \(1 \;\mathrm{m},\) made of a metal which has very low coefficient of expansion is floating vertically in water at \(0^{\circ} \mathrm{C}\) such that its height above the water surface is \(20\; \mathrm{cm} .\) When the temperature of water is increased to \(4^{\circ} \mathrm{C},\) the height of the cylinder above the water surface becomes \(21 \;\mathrm{cm} .\) The density of water at \(\mathrm{T}=4^{\circ} \mathrm{C},\) relative to the density at \(\mathrm{T}=0^{\circ} \mathrm{C}\) is close toJEE Mains 2020 Medium
- The velocity \((v)\) and time \((t)\) graph of a body in a straight line motion is shown in the figure. The point \(S\) is at \(4.333\) seconds. The total distance covered by the body in \(6 \;s\) is\(.......m\)
JEE Mains 2020 Medium