If the dimensions of a physical quantity are given by $[L^{a} M^{b} T^{c}]$,then the physical quantity is:

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

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Similar Questions

Given below are two statements :
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Statement $(II)$ : Dimensions of gas constant are $\left[ML^2 \,T^{-1} \,K^{-1}\right]$.

The dimensional formula of $\frac{1}{2}\epsilon_0 E^2$ ($\epsilon_0 = $ permittivity of vacuum and $E = $ electric field) is $M^a L^b T^c$. The value of $2a - b + c$ is . . . . . . .

Write the dimensional formula for the intensity of radiation.

Dimensions of resistance in an electrical circuit in terms of dimension of mass $M$,of length $L$,of time $T$,and of current $I$ would be:

In $SI$ units,the dimensions of $\sqrt {\frac{{{\varepsilon _0}}}{{{\mu _0}}}} $ are:

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