JEE Mains · Physics · STD 11 - 1. units,dimensions and measurement
Consider the equation \(H = \dfrac{x^p \epsilon^q E^r}{t^s}\), where \(H=\) magnetic field; \(E=\) electric field, \(\epsilon=\) permittivity, \(x=\) distance, \(t=\) time. The values of \(p, q, r\) and \(s\) respectively are:
- A \(1, 1, 1, 1\)
- B \(-1, 1, 2, 1\)
- C \(1, -1, -2, 1\)
- D \(-1, -2, -2, 1\)
Answer & Solution
Correct Answer
(A) \(1, 1, 1, 1\)
Step-by-step Solution
Detailed explanation
The dimensional formulas for the given physical quantities are: Magnetic field intensity \([H] = [M^0 L^{-1} T^0 A^1]\) Distance \([x] = [M^0 L^1 T^0 A^0]\) Permittivity \([\epsilon] = [M^{-1} L^{-3} T^4 A^2]\) Electric field \([E] = [M^1 L^1 T^{-3} A^{-1}]\) Time…
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