Alternating Current and Electromagnetic Waves
A charged particle (electron or proton) is introduced at the origin (x = 0, y = 0, z = 0) with a given initial velocity $\overrightarrow{\mathrm{v}}$. A uniform electric field $\overrightarrow{\mathrm{E}}$ and a uniform magnetic field $\overrightarrow{\mathrm{B}}$ exist everywhere. The velocity $\overrightarrow{\mathrm{v}}$ , electric field $\overrightarrow{\mathrm{E}}$ and magnetic field $\overrightarrow{\mathrm{B}}$ are given in column 1, 2 and 3, respectively. The quantities E_{0}, B_{0} are positive in magnitude. |
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Column-1 | Column-2 | Column-3 |
(I) Electron with $\overrightarrow{\mathrm{v}}=2\frac{{\mathrm{E}}_{0}}{{\mathrm{B}}_{0}}\hat{\mathrm{x}}$ | (i) $\overrightarrow{\mathrm{E}}={\mathrm{E}}_{0}\hat{\mathrm{z}}$ | (P) $\overrightarrow{\mathrm{B}}=-{\mathrm{B}}_{0}\hat{\mathrm{x}}$ |
(II) Electron with $\overrightarrow{\mathrm{v}}=\frac{{\mathrm{E}}_{0}}{{\mathrm{B}}_{0}}\hat{\mathrm{y}}$ | (ii) $\overrightarrow{\mathrm{E}}=-{\mathrm{E}}_{0}\hat{\mathrm{y}}$ | (Q) $\overrightarrow{\mathrm{B}}={\mathrm{B}}_{0}\hat{\mathrm{x}}$ |
(III) Proton with $\overrightarrow{\mathrm{v}}=0$ | (iii) $\overrightarrow{\mathrm{E}}=-{\mathrm{E}}_{0}\hat{\mathrm{x}}$ | (R) $\overrightarrow{\mathrm{B}}={\mathrm{B}}_{0}\hat{\mathrm{y}}$ |
(IV) Proton with $\overrightarrow{\mathrm{v}}=2\frac{{\mathrm{E}}_{0}}{{\mathrm{B}}_{0}}\hat{\mathrm{x}}$ | (iv) $\overrightarrow{\mathrm{E}}={\mathrm{E}}_{0}\hat{\mathrm{x}}$ | (S) $\overrightarrow{\mathrm{B}}={\mathrm{B}}_{0}\hat{\mathrm{z}}$ |
In which case will the particle move in a straight line with constant velocity ?
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JEE Advanced 2017
Match List-I (electromagnetic wave type) with List-II (its association/application) and select the correct option from the choices given below.
List-I | List-II | ||
(a) | Infrared waves | (i) | To treat muscular strain |
(b) | Radio waves | (ii) | For broadcasting |
(c) | X-rays | (iii) | To detect fracture of bones |
(d) | Ultraviolet rays | (iv) | Absorbed by the ozone layer of the atmosphere |
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JEE Mains 2014
You are given many resistances, capacitors and inductors. These are connected to a variable DC voltage source (the first two circuits) or an AC voltage source of 50 Hz frequency (the next three circuits) in different ways as shown in column II. When a current I steady sate for DC or rms for AC) flows through the circuit, the corresponding voltage V_{1} and V_{2}. (Indicated in circuits) are related as shown in column I. Match the two.
Column I |
Column II |
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(A) |
(P) |
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(B) |
(Q) |
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(C) |
(R) |
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(D) |
(S) |
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(T) |
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JEE 2010