Which of the following statements is correct?

  • A
    Electromagnetic force is short-ranged
  • B
    Relative strength of gravitational force is higher than that of weak nuclear force
  • C
    Range of the weak nuclear force is smaller than that of strong nuclear force
  • D
    Relative strength of strong nuclear force may or may not be higher than that of electromagnetic force

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If $R$,$X_L$,and $X_C$ represent resistance,inductive reactance,and capacitive reactance respectively,then which of the following is dimensionless?

Find the rate of change of the total surface area of a cylinder of radius $r$ and height $h$,when the radius varies with respect to time $t$.

Match List-$I$ with List-$II$.
List-$I$ List-$II$
$(A)$ Torque $(I)$ $Nms^{-1}$
$(B)$ Stress $(II)$ $Jkg^{-1}$
$(C)$ Latent Heat $(III)$ $Nm$
$(D)$ Power $(IV)$ $Nm^{-2}$

Choose the correct answer from the options below.

Let $L, R, C$ and $V$ represent inductance,resistance,capacitance,and voltage,respectively. The dimension of $\frac{L}{RCV}$ in $SI$ units will be:

Dimensions of the quantity $\frac{p}{\varepsilon_0 \mu_0}$, where $p$ is the pressure, $\varepsilon_0$ is the electric permittivity of free space, and $\mu_0$ is the permeability of free space, will be:

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