In Young's double slit experiment,the wavelen | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The condition for the $n^{th}$ bright fringe of red light to coincide with the $(n+1)^{th}$ bright fringe of blue light is given by the equality o

Vedclass · Accepted Answer

$2$

Vedclass · Answer

(B) The condition for the $n^{th}$ bright fringe of red light to coincide with the $(n+1)^{th}$ bright fringe of blue light is given by the equality of their positions from the central maximum.$y_n(R) = y_{n+1}(B)$Since the position of the $n^{th}$ bright fringe is $y_n = n \lambda \frac{D}{d}$,we have:$n \lambda_R \frac{D}{d} = (n+1) \lambda_B \frac{D}{d}$$n \lambda_R = (n+1) \lambda_B$Substituting the given values:$n 	imes 7800 \, \mathring{A} = (n+1) 	imes 5200 \, \mathring{A}$Dividing both sides by $2600 \, \mathring{A}$:$3n = 2(n+1)$$3n = 2n + 2$$n = 2$Thus,the $2^{nd}$ bright band of red light coincides with the $3^{rd}$ bright band of blue light.

In Young's double slit experiment,the wavelength of red light is $7800 \, \mathring{A}$ and that of blue light is $5200 \, \mathring{A}$. The value of $n$ for which the $n^{th}$ bright band due to red light coincides with the $(n + 1)^{th}$ bright band due to blue light is:

Similar Questions

Apart from tetrahedral geometry,another possible geometry for $CH_4$ is square planar with the four $H$ atoms at the corners of the square and the $C$ atom at its centre. Explain why $CH_4$ is not square planar?

In any $\triangle ABC$,the expression $\frac{(a+b+c)(b+c-a)(c+a-b)(a+b-c)}{4b^2c^2}$ is equal to:

$A$ rope of mass $5\,kg$ is moving vertically in a vertical position with an upwards force of $100\,N$ acting at the upper end and a downwards force of $70\,N$ acting at the lower end. The tension at the midpoint of the rope is $............\,N$.

Two dice are thrown simultaneously,the probability of obtaining a total score of $5$ is

How many isomeric forms of $C_7H_9N$ contain a benzene ring?

Vedclass Test Series

Exam Paper Generator

Online Exam Module