JEE Mains · Physics · STD 12 - 9. Ray optics and optical instruments
What is the lateral shift of a ray refracted through a parallel-sided glass slab of thickness ' \(h\) ' in terms of the angle of incidence ' \(i\) ' and angle of refraction ' \(r\) ', if the glass slab is placed in air medium?
- A \(\frac{h \tan (i-r)}{\tan r}\)
- B \(\frac{h \sin (i-r)}{\cos r}\)
- C h
- D \(\frac{h \cos (i-r)}{\sin r}\)
Answer & Solution
Correct Answer
(B) \(\frac{h \sin (i-r)}{\cos r}\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & A B=h \sec r \\ & B C=h \sec r \sin (\bar{i}-r) \\ & B C=\frac{h \sin (i-r)}{\cos r}\end{aligned}\)
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
- A body of mass \(1\) kg moves along a straight line with a velocity \(v = 2x^2\). The work done by the body during displacement from \(x = 0\) to \(5\) m is __________ J.JEE Mains 2026 Medium
- A common example of alpha decay is \({ }_{82}^{238} U \longrightarrow{ }_{80}^{234} Th +{ }_2 He ^4+ Q\). ( Given : \({ }_{92}^{238} U =238.05060 u ,\) \({ }_{90}^{234} Th =234.04360 u ,\) \({ }_2^4 He =4.00260 u \text {, and }\) \(1 u =931.5 \frac{ MeV }{ c ^2} )\). The energy released \((Q)\) during the alpha decay of \({ }_{92}^{238} U\) is \(......\,MeV\)JEE Mains 2023 Medium
- Two isolated conducting spheres \(S_{1}\) and \(S_{2}\) of radius \(\frac{2}{3} R\) and \(\frac{1}{3} R\) have \(12\, \mu C\) and \(-3\, \mu C\) charges, respectively, and are at a large distance from each other. They are now onnected by a conducting wire. A long time after this is done the charges on \(S_{1}\) and \(S_{2}\) are respectivelyJEE Mains 2020 Hard
- A positive charge \('q'\) of mass \('m'\) is moving along the \(+ x\) axis. We wish to apply a uniform magnetic field \(B\) for time \(\Delta t\) so that the charge reverses its direction crossing the \(y\) axis at a distance \(d.\) ThenJEE Mains 2014 Hard
- A monoatomic gas having \(\gamma=\frac{5}{3}\) is stored in a thermally insulated container and the gas is suddenly compressed to \(\left(\frac{1}{8}\right)^{\text {th }}\) of its initial volume. The ratio of final pressure and initial pressure is: ( \(\gamma\) is the ratio of specific heats of the gas at constant pressure and at constant volume)JEE Mains 2025 Medium
- A parallel plate capacitor with plate separation 5 mm is charged by a battery. On introducing a mica sheet of 2 mm and maintaining the connections of the plates with the terminals of the battery, it is found that it draws \(25 \%\) more charge from the battery. The dielectric constant of mica is ___________ .JEE Mains 2026 Easy
More PYQs from JEE Mains
- \(\int_{0}^{20 \pi}(|\sin x|+|\cos x|)^{2} d x\) is equal to.JEE Mains 2022 Hard
- Let \(A =\{2,3,4,5, \ldots ., 30\}\) and \(^{\prime} \simeq ^{\prime}\) be an equivalence relation on \(A \times A ,\) defined by \((a, b) \simeq (c, d),\) if and only if \(a d=b c .\) Then the number of ordered pairs which satisfy this equivalence relation with ordered pair \((4,3)\) is equal to :JEE Mains 2021 Hard
- A water tank has the shape of an inverted right circular cone, whose semi vertical angle is \({\tan ^{ - 1}}\,\left( {\frac{1}{2}} \right)\). Water is poured in at a constant rate of \(5\) cubic meter per minute. Then the rate (in \(m/min\)) at which the level of water is rising at the instant when the depth of water in the tank is \(10\, m\) isJEE Mains 2019 Hard
- The sum of distinct values of \(\lambda\) for which the system of equations \((\lambda-1) x+(3 \lambda+1) y+2 \lambda z=0\) \((\lambda-1) x+(4 \lambda-2) y+(\lambda+3) z=0\) \(2 x+(3 \lambda+1) y+3(\lambda-1) z=0\) has non-zero solutions, isJEE Mains 2020 Hard
- For a certain metal, when monochromatic light of wavelength \(\lambda\) is incident, the stopping potential for photoelectrons is \(3V_0\). When the same metal is illuminated by light of wavelength \(2\lambda\), then the stopping potential becomes \(V_0\). The threshold wavelength for photoelectric emission for the given metal is \(\alpha\lambda\). The value of \(\alpha\) is _______.JEE Mains 2026 Medium
- If the point \(\left(\alpha, \frac{7 \sqrt{3}}{3}\right)\) lies on the curve traced by the mid-points of the line segments of the lines \(x\) \(\cos \theta+ y \sin \theta=7, \theta \in\left(0, \frac{\pi}{2}\right)\) between the coordinates axes, then \(\alpha\) is equal toJEE Mains 2023 Hard