तरंग प्रकाशिकी

In a Young's double-slit experiment, two slits are $1.5\,\text{mm}$ apart while the screen is $1.2\,\text{m}$ away. When a light of wavelength $600\,\text{nm}$ is incident on the slits, the fringe width will be:

A polaroid sheet is rotated between two crossed polarizers. The intensity of transmitted light would be maximum, when the angle between the axes of the first polarizer and the polaroid sheet is:

Using light from a monochromatic source to study diffraction in a single slit of width $0.1\,\text{mm}$, the linear width of central maxima is measured to be $5\,\text{mm}$ on a screen held $50\,\text{cm}$ away. The wavelength of light used is _______________.

Two slits are made $0.1\,\text{mm}$ apart and the screen is placed $2\,\text{m}$ away. The fringe separation when a light of wavelength $500\,\text{nm}$ is used is ____________.

A slit of width $e$ is illuminated by light of wavelength $\lambda$. What should be the value of $e$ to obtain the first maximum at an angle of diffraction of $\frac{\pi}{3}$?

In Young's double slit experiment, yellow light of wavelength $640\,\text{nm}$ produces fringes of width $0.8\,\text{mm}$. What will be the fringe width if the light source is replaced by another monochromatic source of wavelength $720\,\text{nm}$ and the separation between the slits is made thrice?

The type of wavefront that emerges from a distant light source is:

If a light ray travels from a denser to a rarer medium, which of the following statement/s are correct ?

Choose the correct answer from the options given below :

Case based

The British physicist Thomas Young used an ingenious technique to lock the phases of the waves emanating from two coherent sources $S_1$ and $S_2$. As these sources were derived from same source symmetrically placed with respect to $S_1$ and $S_2$, the phases of waves were same. If any abrupt change happens in original sources, it will manifest exactly similar phase changes in the light coming out of two sources $S_1$ and $S_2$. Due to constructive interference and destructive interference at different points in space and screen alternate dark and bright fringes of equal width were obtained. This pattern was called an interference pattern. The width of each band was equal with central fringe as bright fringe.

The phase difference ($\Delta\phi$) between two superimposing waves to obtain constructive interference and hence bright band, is :

If two sources of intensities $I_0$ each have a randomly varying phase difference $\phi$, the resultant intensity at centre of screen will be :

In Young's double slit experiment, an interference pattern is obtained on the screen. If one of the slits is closed, then :

In Young's double slit experiment, the separation between the slits is halved and distance between the slits and screen is doubled. The fringe width will be :

In Young's double slit experiment, the fringe width is 0.4 mm. If the whole apparatus is immersed in water of refractive index $\frac{4}{3}$, without changing its geometry, the new fringe width will be :