MHT CET · Physics · Wave Optics
In biprism experiment, the wavelength \(\lambda\) is used to obtain an interference pattern. Then fringe width is \(\mathrm{W}_1\) at distance \(\mathrm{D}_1\) from the screen when the screen is moved towards biprism, fringe width becomes \(\mathrm{W}_2\) at distance \(\mathrm{D}_2\) The distance between two virtual images of the slit is
- A \(\frac{\lambda\left(D_2-D_1\right)}{\left(W_1-w_2\right)}\)
- B \(\frac{\lambda\left(\mathrm{W}_1-\mathrm{W}_2\right)}{\left(\mathrm{D}_1-\mathrm{D}_2\right)}\)
- C \(\frac{\lambda\left(\mathrm{W}_2-\mathrm{W}_1\right)}{\left(\mathrm{D}_1-\mathrm{D}_2\right)}\)
- D \(\frac{\lambda\left(\mathrm{D}_1-\mathrm{D}_2\right)}{\left(\mathrm{W}_1-\mathrm{W}_2\right)}\)
Answer & Solution
Correct Answer
(D) \(\frac{\lambda\left(\mathrm{D}_1-\mathrm{D}_2\right)}{\left(\mathrm{W}_1-\mathrm{W}_2\right)}\)
Step-by-step Solution
Detailed explanation
Fringe width \(=\frac{\lambda D}{d}\)
\(\mathrm{W}_1=\frac{\lambda \mathrm{D}_1}{\mathrm{~d}}\)
\(\mathrm{w}_2=\frac{\lambda \mathrm{D}_2}{\mathrm{~d}}\)
\(\begin{aligned} & \Delta \mathrm{w}=\mathrm{w}_1-\mathrm{w}_2 \\ & =\frac{\lambda}{\mathrm{d}}\left(\mathrm{D}_1-\mathrm{D}_2\right) \\ & \Rightarrow \mathrm{d}=\frac{\lambda\left(\mathrm{D}_1-\mathrm{D}_2\right)}{\left(\mathrm{w}_1-\mathrm{w}_2\right)}\end{aligned}\)
\(\mathrm{W}_1=\frac{\lambda \mathrm{D}_1}{\mathrm{~d}}\)
\(\mathrm{w}_2=\frac{\lambda \mathrm{D}_2}{\mathrm{~d}}\)
\(\begin{aligned} & \Delta \mathrm{w}=\mathrm{w}_1-\mathrm{w}_2 \\ & =\frac{\lambda}{\mathrm{d}}\left(\mathrm{D}_1-\mathrm{D}_2\right) \\ & \Rightarrow \mathrm{d}=\frac{\lambda\left(\mathrm{D}_1-\mathrm{D}_2\right)}{\left(\mathrm{w}_1-\mathrm{w}_2\right)}\end{aligned}\)
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
- Two spherical conductors of radii \(4 \mathrm{~cm}\) and \(5 \mathrm{~cm}\) are charged to the same potential. If ' \(\sigma_1\) ' and ' \(\sigma_2\) ' be the respective value of the surface density of charge on the two conductors then the ratio \(\sigma_1: \sigma_2\) isMHT CET 2021 Hard
- A \(5 \mathrm{~m}\) long aluminium wire \(\left(Y=7 \times 10^{10} \mathrm{Nm}^{-2}\right.\) ) of diameter \(3 \mathrm{~mm}\) supports a \(40 \mathrm{~kg}\) mass. In order to have the same elongation in the copper wire \(\left(Y=12 \times 10^{10} \mathrm{Nm}^{-2}\right)\) of the same
length under the same weight, the diameter should now be (in \(\mathrm{mm}\) )MHT CET 2009 Hard - A wave travelling along a string is described by the equation \(y=A \sin (\omega t-k x)\)
The maximum particle velocity isMHT CET 2008 Easy - A series combination of \(n_1\) capacitors, each of value \(C_1\) is charged by a source of potential difference 6 V . Another parallel combination of \(\mathrm{n}_2\) capacitors, each of value \(\mathrm{C}_2\) is charged by a source of potential' difference 2 V . Total energy of both the combinations is same. The value of \(\mathrm{C}_2\) in terms of \(\mathrm{C}_1\) isMHT CET 2024 Hard
- Light of two different frequencies whose photons have energies \(1.3 \mathrm{eV}\) and \(2.8 \mathrm{eV}\) respectively, successfully illuminate a metallic surface whose work function is \(0.8 \mathrm{eV}\). The ratio of maximum speeds of emitted electrons will beMHT CET 2022 Easy
- For homogenous isotropic material, which one of the following cannot be the value of Poisson’s ratio?MHT CET 2019 Easy
More PYQs from MHT CET
- What is IUPAC name of following compound?
MHT CET 2024 Easy - When ammonium chloride is added to ammonia solution, the \(\mathrm{pH}\) of the resulting solution will beMHT CET 2007 Medium
- In a resonance tube the first resonance with a tunning fork occurs at \(16 \mathrm{~cm}\) and second at \(49 \mathrm{~cm} .\) If the velocity of sound is \(330 \mathrm{~m} / \mathrm{s}\), the frequency of tunning fork isMHT CET 2011 Hard
- The value of \(\int_{\frac{\pi}{6}}^{\frac{\pi}{4}} \frac{1}{\sin 2 x\left(\tan ^5 x+\cot ^5 x\right)} \mathrm{dx}\) isMHT CET 2024 Hard
- ________MHT CET 2019 Medium
- If 'N' is the number of turns in a circular coil, the value of its self inductance varies
asMHT CET 2020 Easy