In a double slit experiment the distance between the slits is 0.1 cm and the screen is placed at 50 cm from the slits plane. When one slit is covered with a transparent sheet having thickness \(t\) and refractive index \(n (=1.5)\), the central fringe shifts by 0.2 cm . The value of t is _________ cm .

Pick an option to check your answer.

Verified Solution

Answer & Solution

Correct Answer

(A) \(8 \times 10^{-4}\)

Step-by-step Solution

Detailed explanation

\(d \sin \theta=(\mu-1) t\)
\(d \left[\frac{ x }{ D }\right]=(\mu-1) t\)
\(t=\frac{x d}{D(\mu-1)}\)
\(=\frac{(0.2)(0.1)}{50(1.5-1)}\)
\(t =8 \times 10^{-4} cm\)

Same subject

Five positive charges each having charge q are placed at the vertices of a pentagon as shown in the figure. The electric potential (V) and the electric field \((\vec{E})\) at the center O of the pentagon due to these five positive charges are:

JEE Mains 2026 Hard
The mass per unit length of a uniform wire is \(0.135\, g / cm\). A transverse wave of the form \(y =-0.21 \sin ( x +30 t )\) is produced in it, where \(x\) is in meter and \(t\) is in second. Then, the expected value of tension in the wire is \(x \times 10^{-2} N\). Value of \(x\) is . (Round-off to the nearest integer)

JEE Mains 2021 Easy
A ball is thrown vertically upwards with a velocity of \(19.6\,ms ^{-1}\) from the top of a tower. The ball strikes the ground after \(6\,s\). The height from the ground up to which the ball can rise will be \(\left(\frac{ k }{5}\right) m .\) The value of \(k\) is ..... (use \(g =9.8\,m / s ^{2}\))

JEE Mains 2022 Hard
A particle is moving with uniform speed along the circumference of a circle of radius \(R\) under the action of a central fictitious force \(F\) which is inversely proportional to \(R ^{3}\). Its time period of revolution will be given by

JEE Mains 2021 Hard
If two vectors \(\vec{A}\) and \(\vec{B}\) having equal magnitude \(\mathrm{R}\) are inclined at an angle \(\theta\), then...

JEE Mains 2024 Hard
A square loop \(\mathrm{PQRS}\) having \(10\) turns, area \(3.6 \times\) \(10^{-3} \mathrm{~m}^2\) and resistance \(100 \Omega\) is slowly and uniformly being pulled out of a uniform magnetic field of magnitude \(\mathrm{B}=0.5 \mathrm{~T}\) as shown. Work done in pulling the loop out of the field in \(1.0 \mathrm{~s}\) is _______ \(\times 10^{-6} \mathrm{~J}\).

JEE Mains 2024 Hard

Explore more questions on app

From JEE Mains

The space inside a straight current carrying solenoid is filled with a magnetic material having magnetic susceptibility equal to \(1.2 \times 10^{-5}\). What is fractional increase in the magnetic field inside solenoid with respect to air as medium inside the solenoid?

JEE Mains 2022 Medium
The give graph shown variation (with distance \(r\) from centre) of

JEE Mains 2019 Hard
When an external resistance of \(5\ \Omega\) is connected across terminals of a cell, a current of \(0.25\text{ A}\) flows through it. When the \(5\ \Omega\) resistor is replaced by a \(2\ \Omega\) resistor, a current of \(0.5\text{ A}\) flows through it. The internal resistance of the cell is _______ \(\Omega\).

JEE Mains 2026 Easy

Explore more questions on app