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Units, Dimensions and Measurement — JEE physics STD 12 Science — Question

CBSE BoardEnglish MediumSTD 12 ScienceJEE physicsUnits, Dimensions and Measurement1 Mark
MCQ
The quantities $A$ and $B$ are related by the relation, $m=A / B$, where $m$ is the linear density and $A$ is the force. The dimensions of $B$ are of
  • A
    Pressure
  • B
    Work
  • ✓
    Latent heat
  • D
    None of the above
✓

Answer

Correct option: C.
Latent heat
(c)
${l}m=\text { linear density }=\text { mass per unit length }=\left\lfloor\frac{M}{L}\right\rfloor $
$\mathrm{A}=\text { force }=\left[M L T^{-2}\right] \quad \therefore[B]=\frac{[A]}{[m]}=\frac{\left[M L T^{-2}\right]}{\left[M L^{-1}\right]}=\left[L^2T^{-2}\right]$
This is same dimension as that of latent heat.

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