Question:
The phase velocity vp of transverse waves on a one-dimensional crystal of atomic separation d is related to the wavevector k as
\(v_p=C\frac{\sin(kd/2)}{(kd/2)}\)
The group velocity of these waves is
The phase velocity vp of transverse waves on a one-dimensional crystal of atomic separation d is related to the wavevector k as
\(v_p=C\frac{\sin(kd/2)}{(kd/2)}\)
The group velocity of these waves is
\(v_p=C\frac{\sin(kd/2)}{(kd/2)}\)
The group velocity of these waves is
Updated On: Oct 1, 2024
- \(C[\cos(kd/2)-\frac{\sin(kd/2)}{(kd/2)}]\)
- \(C\cos(kd/2)\)
- \(C[\cos(kd/2)+\frac{\sin(kd/2)}{(kd/2)}]\)
- \(C\frac{\sin(kd/2)}{(kd/2)}\)
Hide Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
The correct option is (B) : \(C\cos(kd/2)\).
Was this answer helpful?
0
0
Top Questions on Wave optics
- The ratio of intensities of two coherent sources is 1:9. The ratio of the maximum to the minimum intensities is:
- JEE Main - 2025
- Physics
- Wave optics
- In YDSE, light of intensity 4I and 9I passes through two slits respectively. The difference of maximum and minimum intensity of the interference pattern is:
- JEE Main - 2025
- Physics
- Wave optics
- In YDSE, light of intensity \( 4I \) and \( 9I \) passes through two slits respectively. Difference of maximum and minimum intensity of interference pattern is:
- JEE Main - 2025
- Physics
- Wave optics
- Power of point source is 450 watts. Radiation pressure on a perfectly reflecting surface at a distance of 2 meters is:
- JEE Main - 2025
- Physics
- Wave optics
- Given below are two statements, one labeled as Assertion (A) and the other as Reason (R).
Assertion (A): In Young’s double slit experiment, the fringes produced by red light are closer compared to those produced by blue light.
Reason (R): The fringe width is directly proportional to the wavelength of light.
In the light of the above statements, choose the correct answer from the options given below:- JEE Main - 2025
- Physics
- Wave optics
View More Questions
Questions Asked in IIT JAM exam
- The divergence of a 3-dimensional vector \(\frac{𝑟̂}{𝑟^3}\) (𝑟̂ is the unit radial vector) is:
- IIT JAM - 2024
- Mathematical Methods
- In the x-y plane, a vector is given by
\(\overrightarrow𝐹 (𝑥, 𝑦) = \frac{−𝑦𝑥̂ + 𝑥𝑦̂}{𝑥^ 2 + 𝑦^2} . \)
The magnitude of the flux of \(\overrightarrow∇ ×\overrightarrow 𝐹\) , through a circular loop of radius 2, centered at the origin, is:- IIT JAM - 2024
- Mathematical Methods
The P-V diagram of an engine is shown in the figure below. The temperatures at points 1, 2, 3 and 4 are T1, T2, T3 and T4, respectively. 1→2 and 3→4 are adiabatic processes, and 2→3 and 4→1 are isochoric processes
Identify the correct statement(s).
[γ is the ratio of specific heats Cp (at constant P) and Cv (at constant V)]- IIT JAM - 2024
- Thermodynamics
- A time dependent magnetic field inside a long solenoid of radius 0.05m is given by \(\overrightarrow𝐵\)(𝑡) = 𝐵0 sin 𝜔𝑡 \(\^z\). If 𝜔=100rad/s and 𝐵0= 0.98Weber/m2 , then the amplitude of the induced electric field at a distance of 0.07m from the axis of the solenoid is ______V/m. (Rounded off to two decimal places)
- IIT JAM - 2024
- Magnetism and Maxwell's Equations
- Two positive charges Q and 2Q are kept at points A and B, separated by a distance 2d, as shown in the figure. MCL is a semicircle of radius 2d centered at the origin O. If Q=2C and d=10cm, the value of the line integral \(∫^L_M{\overrightarrow{E}}.{\overrightarrow{dl}}\) (where \(\overrightarrow{E}\) represents electric field) along the path MCL will be____V.
- IIT JAM - 2024
- Mathematical Methods
View More Questions