The focal power of a lens has the dimensions

  • A

    $[ L ]$

  • B

    $\left[ ML ^2 T ^{-3}\right]$

  • C

    $\left[L^{-1}\right]$

  • D

    $\left[ ML ^{-3}\right]$

Similar Questions

In a particular system of units, a physical quantity can be expressed in terms of the electric charge $c$, electron mass $m_c$, Planck's constant $h$, and Coulomb's constant $k=\frac{1}{4 \pi \epsilon_0}$, where $\epsilon_0$ is the permittivity of vacuum. In terms of these physical constants, the dimension of the magnetic field is $[B]=[c]^\alpha\left[m_c\right]^\beta[h]^\gamma[k]^\delta$. The value of $\alpha+\beta+\gamma+\delta$ is. . . . .

  • [IIT 2022]

The force is given in terms of time $t$ and displacement $x$ by the equation

${F}={A} \cos {Bx}+{C} \sin {Dt}$

The dimensional formula of $\frac{{AD}}{{B}}$ is -

  • [JEE MAIN 2021]

According to Newton, the viscous force acting between liquid layers of area $A$ and velocity gradient $\Delta v/\Delta z$ is given by $F = - \eta A\frac{{\Delta v}}{{\Delta z}}$ where $\eta $ is constant called coefficient of viscosity. The dimension of $\eta $ are

  • [AIPMT 1990]

Match List $I$ with List $II$

List $I$ List $II$
$(A)$ Young's Modulus $(Y)$ $(I)$ $\left[ M L ^{-1} T ^{-1}\right]$
$(B)$ Co-efficient of Viscosity $(\eta)$ $(II)$ $\left[ M L ^2 T ^{-1}\right]$
$(C)$ Planck's Constant $(h)$ $(III)$ $\left[ M L ^{-1} T ^{-2}\right]$
$(D)$ Work Function $(\phi)$ $(IV)$ $\left[ M L ^2 T ^{-2}\right]$

Choose the correct answer from the options given below:

  • [JEE MAIN 2023]

The dimensions of universal gravitational constant are

  • [AIIMS 2000]