Iat Iiser
Units And Measurement And Dimensions
IAT (IISER) 2026
MCQ+4 / -12026
The acceleration of a point particle is given by the equation
$\dfrac{d^2\mathbf{x}}{dt^2} = \alpha \dfrac{\mathbf{x}}{|\mathbf{x}|^7} + \beta \dfrac{d\mathbf{x}}{dt}$
where $\mathbf{x}$ denotes position and $t$ denotes time. Which of the following relations show the correct dimensions for $\alpha$ and $\beta$?
$\dfrac{d^2\mathbf{x}}{dt^2} = \alpha \dfrac{\mathbf{x}}{|\mathbf{x}|^7} + \beta \dfrac{d\mathbf{x}}{dt}$
where $\mathbf{x}$ denotes position and $t$ denotes time. Which of the following relations show the correct dimensions for $\alpha$ and $\beta$?