Question

The Power \( P \) radiated from an accelerated charged particle is given by \( P \propto \left( \frac{q a}{c^n} \right)^m \), where \( q \) is the charge, \( a \) is the acceleration, and \( c \) is the 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 = 3
• D. m = 0, n = 1

Hint:

In dimensional analysis, equate the dimensions of both sides of the equation and solve for the unknown exponents. Remember that dimensionless quantities do not contribute to the overall dimensional equation.