Which of the following pair does not have similar dimensions
Stress and pressure
Angle and strain
Tension and surface tension
Planck's constant and angular momentum
In terms of potential difference $V$, electric current $I$, permittivity $\varepsilon_0$, permeability $\mu_0$ and speed of light $c$, the dimensionally correct equation$(s)$ is(are)
$(A)$ $\mu_0 I ^2=\varepsilon_0 V ^2$ $(B)$ $\varepsilon_0 I =\mu_0 V$ $(C)$ $I =\varepsilon_0 cV$ $(D)$ $\mu_0 cI =\varepsilon_0 V$
The dimension of magnetic field in $M, L, T$ and $C$ (coulomb) is given as
The speed of a wave produced in water is given by $v=\lambda^a g^b \rho^c$. Where $\lambda$, g and $\rho$ are wavelength of wave, acceleration due to gravity and density of water respectively. The values of $a , b$ and $c$ respectively, are
Which of the following is dimensionally incorrect?
Match List$-I$ with List$-II.$
List$-I$ | List$-II$ |
$(a)$ Magnetic Induction | $(i)$ ${ML}^{2} {T}^{-2} {A}^{-1}$ |
$(b)$ Magnetic Flux | $(ii)$ ${M}^{0} {L}^{-1} {A}$ |
$(c)$ Magnetic Permeability | $(iii)$ ${MT}^{-2} {A}^{-1}$ |
$(d)$ Magnetization | $(iv)$ ${MLT}^{-2} {A}^{-2}$ |
Choose the most appropriate answer from the options given below: