Match List-$I$ with List-$II$:
$LIST$-$I$ $LIST$-$II$
$(A)$ Surface tension $(I)$ $kg m^{-1} s^{-1}$
$(B)$ Pressure $(II)$ $kg m s^{-1}$
$(C)$ Viscosity $(III)$ $kg m^{-1} s^{-2}$
$(D)$ Impulse $(IV)$ $kg s^{-2}$

Choose the correct answer from the options given below:

  • A
    $(A)-(IV), (B)-(III), (C)-(I), (D)-(II)$
  • B
    $(A)-(IV), (B)-(III), (C)-(I), (D)-(II)$
  • C
    $(A)-(III), (B)-(IV), (C)-(I), (D)-(II)$
  • D
    $(A)-(II), (B)-(I), (C)-(III), (D)-(IV)$

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Similar Questions

Identify the physical parameters from the list given below that have the same dimensions:
$(i)$ Magnetic field $(B)$
$(ii)$ Energy density $(u)$
$(iii)$ Refractive index $(\mu)$
$(iv)$ Young's modulus $(Y)$
$(v)$ Dielectric constant $(K)$

Some physical quantities are given in Column $I$ and some possible $SI$ units in which these quantities may be expressed are given in Column $II$. Match the physical quantities in Column $I$ with the units in Column $II$.
Column $I$ Column $II$
$(A)$ $GM_e M_s$ ($G$: universal gravitational constant,$M_e$: mass of the earth,$M_s$: mass of the Sun) $(p)$ $(\text{volt})(\text{coulomb})(\text{metre})$
$(B)$ $\frac{3RT}{M}$ ($R$: universal gas constant,$T$: absolute temperature,$M$: molar mass) $(q)$ $(\text{kg})(\text{m})^3(\text{s})^{-2}$
$(C)$ $\frac{F^2}{q^2 B^2}$ ($F$: force,$q$: charge,$B$: magnetic field) $(r)$ $(\text{m})^2(\text{s})^{-2}$
$(D)$ $\frac{GM_e}{R_e}$ ($G$: universal gravitational constant,$M_e$: mass of the earth,$R_e$: radius of the earth) $(s)$ $(\text{farad})(\text{volt})^2(\text{kg})^{-1}$

Which of the following statements is incorrect?

Give an example of:
$(a)$ a physical quantity which has a unit but no dimensions
$(b)$ a physical quantity which has neither unit nor dimensions
$(c)$ a constant which has a unit
$(d)$ a constant which has no unit

Which of the following pairs of quantities do not have the same dimensions?

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