MCQ
Two thin parallel slits are made in an opaque screen. When a monochromatic beam of light passes through them at normal incidence, the first bright fringe in the transmitted light occurs at $\pm 45^o $ with the original direction of the light beam on a distant screen when the apparatus is in air. When the apparatus is immersed in a liquid, the same bright fringe now occurs at $\pm 30^o $. The index of refraction of the liquid is
  • $\sqrt 2$
  • B
    $\sqrt 3$
  • C
    $\frac{4}{3}$
  • D
    $\frac{3}{2}$

Answer

Correct option: A.
$\sqrt 2$
a
$\Delta x=d \sin \theta=n \lambda$

$\frac{d \sin 45^{\circ}}{d \sin 30^{\circ}}=\frac{n \lambda}{n\left(\frac{\lambda}{\mu}\right)} \Rightarrow \mu=\sqrt{2}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Identify the correct statement about the magnetic field lines:
The primary purpose of using a parabolic mirror in a reflecting telescope is
A voltmeter has a range $0-V$ with a series resistance $R$. With a series resistance $2R$, the range is $0-V'$. The correct relation between $V$ and $V'$ is
A plane mirror is moving with velocity $4\hat i + 5\hat j+ 8\hat k$ . A point object in front of the mirror moves with a velocity $3\hat i + 4\hat j + 5\hat k$ . Here is along the normal to the plane mirror and facing towards the object. The velocity of the image is
A small plane mirror placed at the centre of a spherical screen of radius $R$. A beam of light is falling on the mirror. If the mirror makes $n$ revolution. per second, the speed of light on the screen after reflection from the mirror will be
When photon of energy $4.0\; eV$ strikes the surface of a metal $\mathrm{A}$, the ejected photoelectrons have maximum kinetic energy $\mathrm{T}_{\mathrm{A}}\; eV$ end de-Broglie wavelength $\lambda_{\mathrm{A}} .$ The maximum kinetic energy of photoelectrons liberated from another metal $\mathrm{B}$ by photon of energy $4.50 \;eV$ is $\mathrm{T}_{\mathrm{B}}=\left(\mathrm{T}_{\mathrm{A}}-1.5\right)\;eV$. If the de-Broglie wavelength of these photoelectrons $\lambda_{B}=2 \lambda_{A}$ then the work function of metal $\mathrm{B}$ is ............. $eV$
The potential difference applied to an X-ray tube is increased. As a result, in the emitted radiation
The electric field for a plane, electomagnetic wave travelling in the $+y$ direction is shown in figure.If the electric field of the wave $\overline{\text{E}}$ is in the $Z$ direction , then the $\overline{\text{B}}$ field is.
Image
Three identical capacitors are given a charge $Q$ each and they are then allowed to discharge through resistance $R_1, R_2\,$ and $\,R_3$. Their charges, as a function of time shown in the graph below. The smallest of the three resistance is
When a hydrogen bomb explodes, which of the following is used?