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Physics · UNITS AND MEASUREMENT
हिन्दीWhich of the following equations is dimensionally INCORRECT? (where \( s \) is displacement, \( u \) is initial velocity, \( a \) is acceleration, \( t \) is time, \( \lambda \) is wavelength, and \( T \) is time period)
Correct answer · Option 4
\( \lambda = \frac{a t^3}{u} \)
Explanation
In option 4, LHS \( [\lambda] = [\text{L}] \), while RHS \( = \frac{[\text{L T}^{-2}][\text{T}^3]}{[\text{L T}^{-1}]} = [\text{T}^2] \). Since LHS \( \neq \) RHS, option 4 is dimensionally incorrect.
