Question:
An observer is moving with half the speed of light towards a stationary microwave source emitting waves at frequency $10\, GHz$. What is the frequency of the microwave measured by the observer ?
(speed of light $= 3 \times 10^8 \, ms^{-1}$)
An observer is moving with half the speed of light towards a stationary microwave source emitting waves at frequency $10\, GHz$. What is the frequency of the microwave measured by the observer ?
(speed of light $= 3 \times 10^8 \, ms^{-1}$)
Updated On: Sep 27, 2024
- 10.1 GHz
- 12.1 GHz
- 17.3 GHz
- 15.3 GHz
Hide Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
For relativistic motion
$f = f_{0 } \sqrt{\frac{c+v}{c-v}} $ ; v = relative speed of approach
$f = 10\sqrt{\frac{c+\frac{c}{2}}{c-\frac{c}{2}} } = 10\sqrt{3} = 17.3\, GHz $
$f = f_{0 } \sqrt{\frac{c+v}{c-v}} $ ; v = relative speed of approach
$f = 10\sqrt{\frac{c+\frac{c}{2}}{c-\frac{c}{2}} } = 10\sqrt{3} = 17.3\, GHz $
Was this answer helpful?
0
0
Top Questions on 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
- 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
- A lens of focal length 20 cm in air is made of glass with a refractive index of 1.6. What is its focal length when it is immersed in a liquid of refractive index 1.8?
- 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
- 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
View More Questions
Questions Asked in JEE Main exam
- Atomic number of element with lowest first ionisation enthalpy is:
- JEE Main - 2025
- Periodic Table
- Let \( z_1, z_2, z_3 \) be three complex numbers on the circle \( |z| = 1 \) with \( \arg(z_1) = -\frac{\pi}{4}, \arg(z_2) = 0 \) and \( \arg(z_3) = \frac{\pi}{4} \). If \( |z_1 \overline{z_2} + z_2 \overline{z_3} + z_3 \overline{z_1}|^2 = \alpha + \beta \sqrt{2} \), where \( \alpha, \beta \in \mathbb{Z} \), then the value of \( \alpha^2 + \beta^2 \) is :
- JEE Main - 2025
- complex numbers
- The kinetic energy of translation of the molecules in 50 g of CO\(_2\) gas at 17°C is:
- JEE Main - 2025
- The Kinetic Theory of Gases
- Assume a living cell with 0.9%(\(w/w\)) of glucose solution (aqueous). This cell is immersed in another solution having equal mole fraction of glucose and water. (Consider the data up to first decimal place only) The cell will:
- JEE Main - 2025
- osmosis
- If the system of equations \[ x + 2y - 3z = 2 \] \[ 2x + \lambda y + 5z = 5 \] \[ 4x + 3y + \mu z = 33 \] has infinite solutions, then \( \lambda + \mu \) is equal to
- JEE Main - 2025
- Miscellaneous
View More Questions
Concepts Used:
Wave Optics
- Wave optics are also known as Physical optics which deal with the study of various phenomena such as polarization, interference, diffraction, and other occurrences where ray approximation of geometric optics cannot be done. Thus, the section of optics that deals with the behavior of light and its wave characteristics is known to be wave optics.
- In wave optics, the approximation is carried out by utilizing ray optics for the estimation of the field on a surface. Further, it includes integrating a ray-estimated field over a mirror, lens, or aperture for the calculation of the transmitted or scattered field.
- Wave optics stands as a witness to a famous standoff between two great scientific communities who devoted their lives to understanding the nature of light. Overall, one supports the particle nature of light; the other supports the wave nature.
- Sir Isaac Newton stood as a pre-eminent figure that supported the voice of particle nature of light, he proposed a corpuscular theory which states that “light consists of extremely light and tiny particles, called corpuscles which travel with very high speeds from the source of light to create a sensation of vision by reflecting on the retina of the eye”.