The potential energy $u$ of a particle varies with distance $x$ from a fixed origin as $u=\frac{A \sqrt{x}}{x+B}$, where $A$ and $B$ are constants. The dimensions of $A$ and $B$ are respectively
The potential energy $u$ of a particle varies with distance $x$ from a fixed origin as $u=\frac{A \sqrt{x}}{x+B}$, where $A$ and $B$ are constants. The dimensions of $A$ and $B$ are respectively
- A
$\left[ ML ^{5 / 2} T ^{-2}\right],[ L ]$
- B
$\left[ MLT ^{-2}\right],\left[L^2\right]$
- C
$[L],\left[ ML ^{3 / 2} T ^{-2}\right]$
- D
$\left[L^2\right],\left[ MLT ^{-2}\right]$
Similar Questions
The speed of light $(c)$, gravitational constant $(G)$ and planck's constant $(h)$ are taken as fundamental units in a system. The dimensions of time in this new system should be
The speed of light $(c)$, gravitational constant $(G)$ and planck's constant $(h)$ are taken as fundamental units in a system. The dimensions of time in this new system should be
- [JEE MAIN 2019]
Match List $I$ with List $II$
LIST$-I$
LIST$-II$
$(A)$ Torque
$(I)$ $ML ^{-2} T ^{-2}$
$(B)$ Stress
$(II)$ $ML ^2 T ^{-2}$
$(C)$ Pressure of gradient
$(III)$ $ML ^{-1} T ^{-1}$
$(D)$ Coefficient of viscosity
$(IV)$ $ML ^{-1} T ^{-2}$
Choose the correct answer from the options given below
Match List $I$ with List $II$
| LIST$-I$ | LIST$-II$ |
| $(A)$ Torque | $(I)$ $ML ^{-2} T ^{-2}$ |
| $(B)$ Stress | $(II)$ $ML ^2 T ^{-2}$ |
| $(C)$ Pressure of gradient | $(III)$ $ML ^{-1} T ^{-1}$ |
| $(D)$ Coefficient of viscosity | $(IV)$ $ML ^{-1} T ^{-2}$ |
Choose the correct answer from the options given below
- [JEE MAIN 2023]
Which of the following is a dimensional constant?
Which of the following is a dimensional constant?
- [AIPMT 1995]
Out of following four dimensional quantities, which one quantity is to be called a dimensional constant
Out of following four dimensional quantities, which one quantity is to be called a dimensional constant
If $C$ and $L$ denote capacitance and inductance respectively, then the dimensions of $LC$ are
If $C$ and $L$ denote capacitance and inductance respectively, then the dimensions of $LC$ are