WBJEE · Physics · Units and Dimensions
The Power \((P)\) radiated from an accelerated charged particle is given by \(P \propto \frac{(q a)^m}{c^n}\) where \(q\) is the charge, \(a\) is the acceleration of the particle and c is speed of light in vacuum. From dimensional analysis, the value of m and n respectively, are
- A m = 2, n = 2
- B m = 2, n = 3
- C m = 3, n = 2
- D m = 0, n = 1
Answer & Solution
Correct Answer
(B) m = 2, n = 3
Step-by-step Solution
Detailed explanation
Hint : \(\frac{q^2}{4 \pi \varepsilon_0 r T}=\frac{1}{\varepsilon_0} \frac{q^m a^m}{c^n}\) {taking \(\frac{1}{\varepsilon_0}\) in multiplication as constant of proportionality}…
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