What is the dimensional formula of the spring constant $k$?

  • A
    $M^1 L^0 T^{-2}$
  • B
    $M^1 L^1 T^{-2}$
  • C
    $M^0 L^1 T^{-2}$
  • D
    $M^1 L^0 T^{-1}$

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Similar Questions

$A$ gas satisfies the relation $P V^{5/3} = K$, where $P$ is pressure, $V$ is volume, and $K$ is a constant. The dimensions of constant $K$ are:

Which of the following is the dimensional formula for viscosity?

The position of a particle at time $t$ is given by the equation $x(t) = \frac{v_0}{A}(1 - e^{-At})$, where $v_0$ is a constant and $A > 0$. The dimensions of $v_0$ and $A$ respectively are:

Different physical quantities are given in Column-$I$ and their dimensional formulas are given in Column-$II$. Match them appropriately.
Column-$I$ Column-$II$
$(a)$ Viscous force $(i)$ $[M^1 L^1 T^{-2}]$
$(b)$ Coefficient of viscosity $(ii)$ $[M^1 L^{-1} T^{-1}]$
$(iii)$ $[M^1 L^{-1} T^{-2}]$

Match the following two columns:
Column-$I$ Column-$II$
$(A)$ Electrical resistance $(p)$ $M L^3 T^{-3} A^{-2}$
$(B)$ Electrical potential $(q)$ $M L^2 T^{-3} A^{-2}$
$(C)$ Specific resistance $(r)$ $M L^2 T^{-3} A^{-1}$
$(D)$ Specific conductance $(s)$ None of these

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