Question:
An antenna is placed in a dielectric medium of dielectric constant \(6.25\). If the maximum size of that antenna is \(5.0\) \(mm\), it can radiate a signal of minimum frequency of __________GHz. (Given \(μr\) = \(1\) for dielectric medium)
An antenna is placed in a dielectric medium of dielectric constant \(6.25\). If the maximum size of that antenna is \(5.0\) \(mm\), it can radiate a signal of minimum frequency of __________GHz. (Given \(μr\) = \(1\) for dielectric medium)
Updated On: Jul 8, 2024
Hide Solution
Verified By Collegedunia
Correct Answer: 6
Solution and Explanation
We know that \(v = fλ\)
Putting the values,
\(\frac{3 \times 10^8}{\sqrt{6.25}} = f \times 20\times 10^{-3}\)
\(⇒ f = 6 \times 10^9 Hz\)
Was this answer helpful?
0
0
Top Questions on Wave characteristics
- If the amplitude of the wave \( y = 3\sin(3x - 5t) + A\cos(3x - 5t) \) m is 5 m, the value of A is
- KEAM - 2025
- Physics
- Wave characteristics
- A transverse wave along a string is given by \( y = 2 \sin \left( 2\pi (3t - x) + \frac{\pi{4} \right) \), where \( x \) and \( y \) are in cm and \( t \) in second. Find the acceleration of a particle located at \( x = 4 \) cm at \( t = 1 \) s.}
- MHT CET - 2025
- Physics
- Wave characteristics
- The work function of a substance is 3.0 eV. The longest wavelength of light that can cause the emission of photoelectrons from this substance is approximately:
- JEE Main - 2024
- Physics
- Wave characteristics
- In single electron \(atom/ion\), first member of Lyman series is \(λ\), then wavelength of second member of their series shall be
- JEE Main - 2024
- Physics
- Wave characteristics
- Stopping potential is \(8\) \(V\) if wavelength of incident light is \(λ\) and it is \(2\) \(V\) for \(3λ\). Find threshold wavelength.
- JEE Main - 2024
- Physics
- Wave characteristics
View More Questions
Questions Asked in JEE Main exam
Designate whether each of the following compounds is aromatic or not aromatic.
- JEE Main - 2025
- Aromaticity & chemistry of aromatic compounds
- In the Claisen-Schmidt reaction to prepare dibenzalacetone from 5.3 g benzaldehyde, a total of 3.51 g of product was obtained. The percentage yield in this reaction was _____.
- JEE Main - 2025
- Reaction Mechanisms & Synthesis
- Consider a completely full cylindrical water tank of height 1.6 m and cross-sectional area 0.5 $ m^2 $. It has a small hole in its side at a height 90 cm from the bottom. Assume, the cross-sectional area of the hole to be negligibly small as compared to that of the water tank. If a load 50 kg is applied at the top surface of the water in the tank then the velocity of the water coming out at the instant when the hole is opened is : (g = 10 $ m/s^2 $)
- JEE Main - 2025
- Fluid Mechanics
- If \[ \int_{-\frac{\pi}{2}}^{\frac{\pi}{2}} \frac{96x^2 \cos^2 x}{1 + e^x} dx = \pi(a\pi^2 + \beta), \quad a, \beta \in \mathbb{Z}, \] then \( (a + \beta)^2 \) equals:
- JEE Main - 2025
- Integration
- The value of \( (\sin 70^\circ)(\cot 10^\circ \cot 70^\circ - 1) \) is:
- JEE Main - 2025
- Trigonometric Identities
View More Questions
Concepts Used:
Wave Characteristics
The main properties of waves are as follows –
- Amplitude - The maximum displacement of the wave from the mean position is called the amplitude of the wave. It is the maximum height from the centre line to the crest or the trough. The crest is the highest point of the wave and the trough is the lowest point of the wave. Amplitude is measured in metres.
- Frequency - The number of vibrations passing a fixed point in a given amount of time is called frequency. The unit of frequency is Hertz.
- Wavelength - Wavelength is the distance between two identical points (adjacent crests or troughs). It is measured in metres. Frequency and wavelength are inversely proportional to each other.
- Time Period - The time taken by a complete wave to pass through a particular point is called the time period. The time period is measured in seconds. The time period is the reciprocal of the frequency.
- Speed - For a wave, speed is the distance travelled by a particular point on the wave in the given interval of time. Speed is measured in metres per second.