$A$ and $B$ possess unequal dimensional formula then following operation is not possible in any case:-
$log (A -B)$
$sin (A + Bx)$
$e^{(AB)}$
$\tan \left[ {\frac{A}{B}\left( {\frac{B}{A}n} \right)} \right]$
The formula $X = 5YZ^2$, $X$ and $Z$ have dimensions of capacitance and magnetic field respectively. What are the dimensions of $Y$ in $SI$ units?
A massive black hole of mass $m$ and radius $R$ is spinning with angular velocity $\omega$. The power $P$ radiated by it as gravitational waves is given by $P=G c^{-5} m^{x} R^{y} \omega^{z}$, where $c$ and $G$ are speed of light in free space and the universal gravitational constant, respectively. Then,