In a biprism experiment,a steady interference | vedclass

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

Question

(D) The fringe width $\beta$ in a biprism experiment is given by the formula $\beta = \frac{\lambda D}{d}$,where $\lambda$ is the wavelength,$D$ is th

Vedclass · Accepted Answer

increase by $28 \%$

Vedclass · Answer

(D) The fringe width $\beta$ in a biprism experiment is given by the formula $\beta = \frac{\lambda D}{d}$,where $\lambda$ is the wavelength,$D$ is the distance between the source and the screen,and $d$ is the distance between the two virtual sources.Since $D$ and $d$ remain constant,the fringe width is directly proportional to the wavelength: $\beta \propto \lambda$.Given $\lambda_1 = 5000 \ Å$ and $\lambda_2 = 6400 \ Å$.The ratio of the new fringe width $\beta_2$ to the initial fringe width $\beta_1$ is $\frac{\beta_2}{\beta_1} = \frac{\lambda_2}{\lambda_1} = \frac{6400}{5000} = 1.28$.This means $\beta_2 = 1.28 \beta_1$.The percentage increase in fringe width is given by $\frac{\beta_2 - \beta_1}{\beta_1} 	imes 100\% = (1.28 - 1) 	imes 100\% = 0.28 	imes 100\% = 28\%$.Therefore,the fringe width increases by $28\%$.

In a biprism experiment,a steady interference pattern is observed on the screen using light of wavelength $\lambda_1 = 5000 \ Å$. Without disturbing the setup of the experiment,the source of light is replaced by a source of wavelength $\lambda_2 = 6400 \ Å$. The fringe width will:

Similar Questions

Calculate the minimum thickness of a soap film $(n=1.33)$ that results in constructive interference in reflected light, if the film is illuminated with light whose wavelength in free space is $532 \,nm$. (in $\,nm$)

Which of the following produces coherent waves?

In two separate setups for a Biprism experiment using the same wavelength,fringes of equal width are obtained. If the ratio of slit separation is $2:3$,then the ratio of the distance between the slit and the screen in the two setups is:

Assertion: Thin films such as a soap bubble or a thin layer of oil on water show beautiful colours when illuminated by white light.
Reason: It happens due to the interference of light reflected from the upper surface of the thin film.

The colors seen in a soap bubble are due to .......

Vedclass Test Series

Exam Paper Generator

Online Exam Module