Unit And Dimensions Set-1

Q1. The unit of impulse is the same as that of

Q2. Which of the following is not the unit of energy?

Q3. If $a$ and $b$ are two physical quantities having different dimensions then which of the following can denote a new physical quantity?

Q4. The time dependence of a physical quantity $P = P_0 \exp(-\alpha t^2)$ where $\alpha$ is a constant and $t$ is time. The constant $\alpha$

Q5. Which pair of following quantities has dimensions different from each other?

Q6. The product of energy and time is called action. The dimensional formula for action is same as that for

Q7. What is the physical quantity whose dimensions are $[M L^2 T^{-2}]$?

Q8. If $E, M, J$ and $G$ denote energy, mass, angular momentum and gravitational constant respectively, then $\frac{E J^2}{M^5 G^2}$ has the dimensions of

Q9. The position of a particle at time $t$ is given by $x(t) = \frac{V_0}{\alpha} (1 - e^{-\alpha t})$ where $V_0$ is a constant and $\alpha > 0$. The dimensions of $V_0$ and $\alpha$ are respectively.

Q10. If force $F$ is given by $F = P t^{-1} + \alpha t$, where $t$ is time. The unit of $P$ is same as that of