Units and Dimensions

What is the dimension of luminous flux?

The only mechanical quantity which has negative dimension of mass is

What are the dimensions of $\frac{A}{B}$ in the relation $F=A \sqrt{x}+B t^2$, where $F$ is the force, $x$ is distance and $t$ is time ?

Suppose a quantity $y$ can be dimensionally represented in terms of $M, L$ and T, that is $[y]=\left[\mathrm{M}^a \mathrm{~L}^b \mathrm{~T}^c\right]$ then $\mathrm{M}$

Assertion : Power of a engine depends on mass, angular speed, torque and angular momentum, then the formula of power is not derived with the help of dimensional method. Reason : In mechanics, if a particular quantity…

If the units of length, mass and force are chosen as fundamental units, the dimensions of time would be

Dimensional formula of angular momentum is

Dimensional formula of $\Delta Q$, heat supplied to the system is given by

What is the dimensions of magnetic field $B$ in terms of $\mathrm{C}$ (= coulomb), M, L, T?

Which of the following pairs does not have same dimensions ?

If the energy, $E=G^p h^q c^r$, where $G$ is the universal gravitational constant, $h$ is the Planck's constant and $c$ is the velocity of light, then the values of $p, q$ and $r$ are, respectively

Assertion : The dimensional formula for product of resistance and conductance is same as for dielectric constant. Reason: Both have dimensions of time constant.