$A$ $U$-tube with limbs of diameters $5\, mm$ and $2\, mm$ contains water of surface tension $7 \times 10^{-2} \, N/m$. The angle of contact is zero and the density of water is $10^3 \, kg/m^3$. If $g = 10 \, m/s^2$,then the difference in the liquid levels of the two limbs is:

  • A
    $8.4 \, mm$
  • B
    $8.4 \, cm$
  • C
    $8.4 \, m$
  • D
    $2.1 \, mm$

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