If the dimensions of a physical quantity are given by $M^aL^bT^c$ ,then physical quantity will be 

  • [AIPMT 2009]
  • A
    velocity if  $a=1,b=0,c=-1$
  • B
    acceleration if  $a=1,b=1,c=-2$
  • C
    force if $a=0,b=-1,c=-2$
  • D
    pressure if $a=1,b=-1,c=-2$

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The dimensional formula $[ML^0T^{-3}]$ is more closely associated with

Which two of the following five physical paramenters have the same dimensions $?$ 
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$(2)$ refractive index
$(3) $ dielectric constant
$(4) $ Young's modulus
$(5)$ magnetic field

  • [AIPMT 2008]

The dimensional formula for Boltzmann's constant is

  • [AIIMS 2019]

The dimensions of $\left(\frac{ B ^{2}}{\mu_{0}}\right)$ will be.
(if $\mu_{0}$ : permeability of free space and $B$ : magnetic field)

  • [JEE MAIN 2022]

The dimension of $\frac{1}{2} \varepsilon_0 E ^2$, where $\varepsilon_0$ is permittivity of free space and $E$ is electric field, is

  • [AIPMT 2010]