MHT CET · Physics · Wave Optics
In Young's double slit experiment when a glass plate of refractive index 1.44 is introduced in the path of one of the interfering beams, the fringes are displaced by a distance ' \(y\) '. If this plate is replaced by another plate of same thickness but of refractive index 1.66, the fringes will be displaced by a distance
- A \(\frac{3 y}{2}\)
- B \(\frac{2 y}{3}\)
- C \(\frac{5 y}{4}\)
- D \(\frac{4 y}{5}\)
Answer & Solution
Correct Answer
(A) \(\frac{3 y}{2}\)
Step-by-step Solution
Detailed explanation
As a glass plate is used in one of the paths,
\(
\begin{aligned}
& \mathrm{y}_1=\frac{\beta}{\lambda}(1.44-1) \mathrm{t} \\
& \mathrm{y}_1=0.44 \mathrm{t} \times \frac{\beta}{\lambda}
\end{aligned}
\)
New displacement is:
\(
\begin{aligned}
\mathrm{y}_2 & =\frac{\beta}{\lambda}(1.66-1) \mathrm{t} \\
\mathrm{y}_2 & =0.66 \mathrm{t} \times \frac{\beta}{\lambda} \\
\frac{\mathrm{y}_2}{\mathrm{y}_1} & =\frac{0.66}{0.44} \\
\therefore \quad \mathrm{y}_2 & =\frac{3 \mathrm{y}}{2}
\end{aligned}
\)
\(
\begin{aligned}
& \mathrm{y}_1=\frac{\beta}{\lambda}(1.44-1) \mathrm{t} \\
& \mathrm{y}_1=0.44 \mathrm{t} \times \frac{\beta}{\lambda}
\end{aligned}
\)
New displacement is:
\(
\begin{aligned}
\mathrm{y}_2 & =\frac{\beta}{\lambda}(1.66-1) \mathrm{t} \\
\mathrm{y}_2 & =0.66 \mathrm{t} \times \frac{\beta}{\lambda} \\
\frac{\mathrm{y}_2}{\mathrm{y}_1} & =\frac{0.66}{0.44} \\
\therefore \quad \mathrm{y}_2 & =\frac{3 \mathrm{y}}{2}
\end{aligned}
\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- The potential difference \(\left(\mathrm{V}_{\mathrm{A}}-\mathrm{V}_{\mathrm{B}}\right)\) between the points ' A ' and ' B ' in the given part of the circuit is
MHT CET 2024 Easy - Equation of simple harmonic progressive wave is given by \(y=\frac{1}{\sqrt{a}} \sin \omega t \pm \frac{1}{\sqrt{b}} \cos \omega t\) then the resultant amplitude of the wave is \(\left(\cos 90^{\circ}=0\right)\)MHT CET 2023 Hard
- The frequencies of three tuning forks A, B and C are related as \(\mathrm{n}_{\mathrm{A}}>\mathrm{n}_{\mathrm{B}}>\mathrm{n}_{\mathrm{C}}\). Which the forks \(\mathrm{A}\) and \(\mathrm{B}\) are sounded together, the number of beats produced per second is ' \(\mathrm{n}_1\) '. When forks \(\mathrm{A}\) and \(\mathrm{C}\) are sounded together the number of beats produced per second is ' \(\mathrm{n}_2\) '. How may beats are produced per second when forks B and \(\mathrm{C}\) are sounded together?MHT CET 2021 Easy
- When wavelength of light used in optical instruments \(\mathrm{A}\) and \(\mathrm{B}\) are \(4500 Å\) and \(6000 Å\) respectively, the ratio of resolving power of \(A\) to \(B\) will beMHT CET 2020 Easy
- When tension ' \(\mathrm{T}\) ' is applied to a sonometer wire of length ' \(\mathrm{l}\) ' it vibrates with the fundamental frequency ' \(n\) '. Keeping the setup same, when the tension is increased by \(8 \mathrm{~N}\), the fundamental frequency becomes three times the earlier. The initial tension applied to the wire wasMHT CET 2022 Medium
- A small particle carrying a negative charge of \(1.6 \times 10^{-19} \mathrm{C}\) is suspended in equilibrium between two horizontal metal plates 8 cm apart having a potential difference of 980 V across them. The mass of the particle is \(\left[\mathrm{g}=9.8 \mathrm{~m} / \mathrm{s}^2\right]\)MHT CET 2024 Medium
More PYQs from MHT CET
- A curve passes through the point \(\left(1, \frac{\pi}{6}\right)\). Let the slope of the curve at each point \((x, y)\) be \(\frac{y}{x}+\sec \left(\frac{y}{x}\right), x>0\), then, the equation of the curve isMHT CET 2023 Medium
- If \(\mathrm{g}(x)=[\mathrm{f}(2 \mathrm{f}(x)+2)]^2\) and \(\mathrm{f}(0)=-1, \mathrm{f}^{\prime}(0)=1\), then \(g^{\prime}(0)\) isMHT CET 2024 Easy
- The statement pattern \((p \wedge q) \wedge[(p \wedge q) \vee(\sim p \wedge q)]\) is equivalent toMHT CET 2021 Easy
- How many isomeric vicinal-dihalides are possible for the compound having molecular formula \(\mathrm{C}_{3} \mathrm{H}_{6} \mathrm{Cl}_{2}\) ?MHT CET 2010 Easy
- What will be the resistance of the shunt when \(5 \%\) of the main current is passed through a galvanometer of resistance G?MHT CET 2020 Easy
- For a transistor, \(\alpha_{\mathrm{dc}}\) and \(\beta_{\mathrm{dc}}\) are the current ratios, then the value of \(\frac{\beta_{\mathrm{dc}}-\alpha_{\mathrm{dc}}}{\alpha_{\mathrm{dc}} \times \beta_{\mathrm{dc}}}\)MHT CET 2025 Easy