Correct answer Carries: 4.
Wrong Answer Carries: -1.
What does the Ampere-Maxwell law relate in Maxwell's equations?
The Ampere-Maxwell law relates the magnetic field to both the conduction current and the displacement current, given by \( \oint \mathbf{B} \cdot \mathrm{d} \mathbf{l} = \mu_0 i_c + \mu_0 \varepsilon_0 \frac{d \Phi_E}{dt} \).
Why does the depletion of the ozone layer pose a significant health risk?
The ozone layer absorbs most of the sun’s harmful UV radiation; its depletion allows more UV rays to reach the Earth, increasing risks of skin cancer and other health issues.
An electromagnetic wave in vacuum has a wavelength of \( 15 \, \text{m} \). What is its frequency? (Given \( c = 3 \times 10^8 \, \text{m/s} \))
Using \( v \lambda = c \), we have \( v = \frac{c}{\lambda} = \frac{3 \times 10^8}{15} = 2 \times 10^7 \, \text{Hz} \).
What is one technological importance of electromagnetic waves mentioned in the document?
The document highlights that electromagnetic waves carry energy, enabling applications like radio and TV signals from broadcasting stations.
Why are gamma rays used in medical applications to treat cancer?
Gamma rays have very high energy and penetrating power due to their short wavelengths, allowing them to target and destroy cancer cells effectively.
In electromagnetic theory, what fundamental principle allows electromagnetic waves to sustain their propagation in vacuum without energy loss?
The principle of mutual induction, where a changing electric field induces a magnetic field and vice versa (via Faraday’s law and Ampere-Maxwell law), ensures self-sustaining propagation in vacuum without energy loss.
What is a common method to detect gamma rays as per the document?
The document lists photographic film, Geiger tubes, and ionization chambers as detectors for gamma rays. Geiger tubes are a common choice.
What is the primary source of infrared waves mentioned in the document?
The document states that infrared waves are produced by hot bodies and molecules, such as those in thermal environments.
What role does the displacement current play in a region where there is no conduction current?
The document explains that in regions with no conduction current but a time-varying electric field, displacement current acts as a source of magnetic field, enabling electromagnetic wave propagation.
Why does the absence of magnetic monopoles imply a specific property about magnetic field lines?
The absence of magnetic monopoles, as stated by Gauss’s law for magnetism, implies that magnetic field lines are always closed loops, with no isolated sources or sinks.
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