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JEE Mains · Physics · STD 12 - Electromagnetic waves
- JEE Mains 2013
- Medium
- MCQ
A metal sample carrying a current along \(X-\) axis with density \(J_x\) is subjected to a magnetic field \(B_z\) ( along \(z-\) axis ). The electric field \(E_y\) developed along \(Y-\) axis is directly proportional io \(J_x\) as well as \(B_z\) . The constant of proportionality has \(SI\, unit\).
Pick an option to check your answer.
Answer & Solution
Correct Answer
(B) \(\frac{{{m^3}}}{As}\)
Step-by-step Solution
Detailed explanation
According to question
\(\mathrm{E}_{\mathrm{y}} \propto \mathrm{J}_{\mathrm{x}} \mathrm{B}_{\mathrm{Z}}\)
\(\therefore \) Constant of proportionality
\(\mathrm{K}=\frac{\mathrm{E}_{\mathrm{y}}}{\mathrm{B}_{\mathrm{Z}} \mathrm{J}_{\mathrm{X}}}=\frac{\mathrm{C}}{\mathrm{J}_{\mathrm{X}}}=\frac{\mathrm{m}^{3}}{\mathrm{A} \mathrm{s}}\)
\(\left[\text { As } \frac{\mathrm{E}}{\mathrm{B}}=\mathrm{C}(\text { speed of light }) \text { and } \mathrm{J}=\frac{1}{\text { Area }}\right]\)
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