Category: HC Verma Part 1: Waves & Optics

Problem Statement Same slab as Problem 19. How many fringes does the central fringe shift? Given Information All quantities, constants, and constraints stated in the problem above Physical constants used as needed (see Concepts section) Physical Concepts & Formulas This problem draws on fundamental physical principles. The key is to identify which conservation law or…

Problem Statement Why is the central fringe in YDSE always white when white light is used? Given Information All quantities, constants, and constraints stated in the problem above Physical constants used as needed (see Concepts section) Physical Concepts & Formulas This problem draws on fundamental physical principles. The key is to identify which conservation law…

Problem Statement In YDSE, a glass slab ($t=1$ mm, $n=1.5$) covers one slit. $\lambda=589$ nm, $D=1$ m, $d=1$ mm. Find the shift of central fringe. Given Information All quantities, constants, and constraints stated in the problem above Physical constants used as needed (see Concepts section) Physical Concepts & Formulas This problem draws on fundamental physical…

Problem Statement Light from a sodium lamp has coherence length about 3 cm. If $\lambda=589$ nm, find the number of oscillations in coherence length. Given Information All quantities, constants, and constraints stated in the problem above Physical constants used as needed (see Concepts section) Physical Concepts & Formulas This problem draws on fundamental physical principles.…

Problem Statement A Michelson interferometer uses 589 nm light. Mirror moves 0.5 mm. How many fringes cross the center? Given Information All quantities, constants, and constraints stated in the problem above Physical constants used as needed (see Concepts section) Physical Concepts & Formulas This problem draws on fundamental physical principles. The key is to identify…

Problem Statement Solve the oscillation/wave problem: In Newton’s rings experiment, 5th dark ring has radius 3.0 mm, $R=2$ m. Find wavelength of light used. $\lambda=r_n^2/(nR)$ from Newton’s ring measurement Step 1: $r_n^2=n\lambda R$; $\lambda=r_n^2/(nR)=(3\times10^{-3})^2/(5\times2)=9\times10^{-6}/10=9\times10^{-7}$ m $=900$ nm. (IR region — likely Given Information Mass $m$ and spring constant $k$ (or equivalent), or wave parameters Initial…

Problem Statement Solve the Newton’s Laws / mechanics problem: In Newton’s rings: $R=1$ m, $\lambda=589$ nm. Find radius of 10th dark ring. Newton’s rings dark rings: $r_n=\sqrt{n\lambda R}$ Step 1: $r_n=\sqrt{n\lambda R}=\sqrt{10\times589\times10^{-9}\times1}=\sqrt{5.89\times10^{-6}}=2.43\times10^{-3}$ m $=2.43$ mm. $$\boxed{r_{10}=2.43\text{ mm}}$$ Given Information Mass(es), forces, angles, and coefficients of friction as given $g = 9.8\,\text{m/s}^2$ (acceleration due to gravity)…

Problem Statement Solve the Newton’s Laws / mechanics problem: Newton’s rings: $R=1$ m, $\lambda=589$ nm. Radius of 10th bright ring? Bright rings: $r_n=\sqrt{(n-\tfrac{1}{2})\lambda R}$ Step 1: $r_n=\sqrt{(n-\tfrac{1}{2})\lambda R}=\sqrt{9.5\times589\times10^{-9}}=\sqrt{5.596\times10^{-6}}=2.365\times10^{-3}$ m $=2.37$ mm. $$\boxed{r_{10}\approx2.37\text{ mm}} Given Information Mass(es), forces, angles, and coefficients of friction as given $g = 9.8\,\text{m/s}^2$ (acceleration due to gravity) Physical Concepts & Formulas…

Problem Statement Same soap film. Minimum thickness for destructive reflection of 589 nm light? Given Information All quantities, constants, and constraints stated in the problem above Physical constants used as needed (see Concepts section) Physical Concepts & Formulas This problem draws on fundamental physical principles. The key is to identify which conservation law or field…

Problem Statement Solve the oscillation/wave problem: A soap film in air has $n=1.33$. Find minimum thickness for constructive reflection of 589 nm light. Thin film (one $\pi$-shift boundary): constructive when $2nt=(m+\tfrac{1}{2})\lambda$ Step 1: Reflection from top surface: phase shift $\pi$ (denser medium). Reflection from bottom: no phase shift (l Given Information Mass $m$ and spring…