Question:
The slits in Young?? double slit experiment are illuminated by light of wavelength $6000 ?$. If the path difference at the central bright fringe is zero, what is the path difference for light from the slits at the fourth bright fringe?
The slits in Young?? double slit experiment are illuminated by light of wavelength $6000 ?$. If the path difference at the central bright fringe is zero, what is the path difference for light from the slits at the fourth bright fringe?
Updated On: Jul 7, 2022
- $2.4\times 10^{-6}m$
- $1.2\times 10^{-6}m$
- $10^{-6}m$
- $ 0.5 \times 10^{-6}m$
Hide Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
The path difference at the centre is zero.
The path difference at the $4^{th}$ bright fringe $= 4\lambda$
Here, $\lambda = 6000 \times 10^{-10}\, m$
$\therefore$ Path difference $= 4 \times 6000 \times 10^{-10} $
$= 24 \times 10^{-7}$
$= 2.4 \times 10^{-6}\, m$
Was this answer helpful?
0
0
Top Questions on Youngs double slit experiment
- In Young's double slit experiment, we get 15 fringes per cm on the screen, using light of wavelength 5600 Ã…. For the same setting, how many fringes per cm will be obtained with light of wavelength 7000 Ã…?
- MHT CET - 2025
- Physics
- Youngs double slit experiment
- In Young's double slit experiment, we get 15 fringes per cm on the screen, using light of wavelength 5600 \AA. For the same setting, how many fringes per cm will be obtained with light of wavelength 7000 \AA?
- MHT CET - 2025
- Physics
- Youngs double slit experiment
- A 3 m long wire of radius 3 mm shows an extension of 0.1 mm when loaded vertically by a mass of 50 kg in an experiment to determine Young's modulus. The value of Young's modulus of the wire as per this experiment is $ P \times 10^{11} \, \text{N/m}^2 $, where the value of $ P $ is: (Take $ g = 3\pi \, \text{m/s}^2 $)
- JEE Main - 2025
- Physics
- Youngs double slit experiment
- A metallic bar of Young’s modulus, 0.5 × 1011 N m–2 and coefficient of linear thermal expansion 10–5 °C–1, length 1 m and area of cross-section 10–3 m2 is heated from 0°C to 100°C without expansion or bending. The compressive force developed in it is :
- NEET (UG) - 2024
- Physics
- Youngs double slit experiment
If the ratio of lengths, radii and Young's Moduli of steel and brass wires in the figure are $ a $, $ b $, and $ c $ respectively, then the corresponding ratio of increase in their lengths would be:
- COMEDK UGET - 2024
- Physics
- Youngs double slit experiment
View More Questions
Concepts Used:
Young’s Double Slit Experiment
- Considering two waves interfering at point P, having different distances. Consider a monochromatic light source ‘S’ kept at a relevant distance from two slits namely S1 and S2. S is at equal distance from S1 and S2. SO, we can assume that S1 and S2 are two coherent sources derived from S.
- The light passes through these slits and falls on the screen that is kept at the distance D from both the slits S1 and S2. It is considered that d is the separation between both the slits. The S1 is opened, S2 is closed and the screen opposite to the S1 is closed, but the screen opposite to S2 is illuminating.
- Thus, an interference pattern takes place when both the slits S1 and S2 are open. When the slit separation ‘d ‘and the screen distance D are kept unchanged, to reach point P the light waves from slits S1 and S2 must travel at different distances. It implies that there is a path difference in the Young double-slit experiment between the two slits S1 and S2.
Read More: Young’s Double Slit Experiment