MCQ
Young's double slit interference apparatus is immersed in a liquid of refractive index 1.44. It has slit separation of 1.5 mm . The slits are illuminated by a parallel beam of light whose wavelength in air is 690 nm . The fringe-width on a screen placed behind the plane of slits at a distance of 0.72 m , will be :
  • 0.23 mm
  • B
    0.33 mm
  • C
    0.63 mm
  • D
    0.46 mm

Answer

Correct option: A.
0.23 mm
(A) 0.23 mm
Sol. $\beta=\left(\frac{\lambda_0}{\mu}\right) \times \frac{D}{d}=\frac{690 \times 10^{-9} \times 0.72}{1.44 \times 1.5 \times 10^{-3}}=0.23 mm$

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

Mass of the pulley is $m$ & radius is $R$. Assume pulley to be uniform disc. Pulley is free to rotate about an axis passing through its centre and perpendicular to its plane. String is massless & inextensible. String is wrapped on the pulley. There is no slipping between string and pulley. The length of the string which is not wrapped on the pulley is $2R$. Block of mass $m$ is released from the position as shown in the figure. The impulse exerted by the string on the pulley at the moment string becomes taut is $J. \frac{2m \sqrt{gR}}{J}$ is equal to.
The given figure represents a material which is
If the polarising angle for air glass interface is $56.3^o$, what is the angle of refraction in glass ?
Assertion : Binding energy (or mass defect) of hydrogen nucleus is zero.

Reason : Hydrogen nucleus contain only one nucleon.

A uniform solid cylinder of mass $M = 3\  kg$ and radius $R = 10\  cm$ is connected about an axis through the cnetre of the cylinder to a horizontal spring with spring constant $8\ N/m$.The cylinder is pulled back, stretching the spring $1\,m$ from equilibrium.When released, the cylinder rolls without slipping. What is the speed of the center of th ecylinder when it returns to equilibrium? .................. $m/s$
A converging beam of rays is incident on a diverging lens. Having passed through the lens the rays intersect at a point $15\,\, cm$ from the lens on the opposite side. If the lens is removed the point where the rays meet will move $5\,\, cm$ closer to the lens. The focal length of the lens is......$cm$
A boy standing at the top of a tower of $20\, m$ height drops a stone . Assuming $g = 10 \,ms^{-2,}$ the velocity with which it hits the ground is.........$ms^{-1}$
At what distance for a long straight wire carrying a current of $12\, A$ will the magnetic field be equal to $3 \times 10^{-5} Wb / m ^{2}$ ?
Two ideal slits $S_1$ and $S_2$ are at a distance d apart, and illuminated by light of wavelength $\lambda$ passing through an ideal source slit $S$ placed on the line through $S_2$ as shown. The distance between the planes of slits and the source slit is $D$. A screen is held at a distance $D$ from the plane of the slits. The minimum value of d for which there is darkness at $O$ is
A proton of mass ' $m_{p}$ ' has same energy as that of a photon of wavelength ' $\lambda$ '. If the proton is moving at non-relativistic speed, then ratio of its de Broglie wavelength to the wavelength of photon is.