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1. units,dimensions and measurement — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics1. units,dimensions and measurement1 Mark
MCQ
Given below are two statements :

Statement $(I)$ : Dimensions of specific heat is $\left[\mathrm{L}^2 \mathrm{~T}^{-2} \mathrm{~K}^{-1}\right]$

Statement $(II)$ : Dimensions of gas constant is $\left[\mathrm{ML}^2 \mathrm{~T}^{-1} \mathrm{~K}^{-1}\right]$

  • A
    Statement $(I)$ is incorrect but statement $(II)$ is correct
  • B
     Both statement $(I)$ and statement $(II)$ are incorrect
  • ✓
    Statement $(I)$ is correct but statement $(II)$ is incorrect
  • D
    Both statement $(I)$ and statement $(II)$ are correct
✓

Answer

Correct option: C.
Statement $(I)$ is correct but statement $(II)$ is incorrect
c
$\Delta \mathrm{Q}=\mathrm{mS} \Delta \mathrm{T}$

$\mathrm{s}=\frac{\Delta \mathrm{Q}}{\mathrm{m} \Delta \mathrm{T}}$

${[\mathrm{s}]=\left[\frac{\mathrm{ML}^2 \mathrm{~T}^{-2}}{\mathrm{MK}}\right]}$

${[\mathrm{s}]=\left[\mathrm{L}^2 \mathrm{~T}^{-2} \mathrm{~K}^{-1}\right]}$

Statement-$(I)$ is correct

$\mathrm{PV}=\mathrm{nRT} \Rightarrow \mathrm{R}=\frac{\mathrm{PV}}{\mathrm{nT}}$

${[\mathrm{R}]=\frac{\left[\mathrm{ML}^{-1} \mathrm{~T}^{-2}\right]\left[\mathrm{L}^3\right]}{[\mathrm{mol}][\mathrm{K}]}}$

${[\mathrm{R}]=\left[\mathrm{ML}^{-2} \mathrm{~T}^{-2} \mathrm{~mol}^{-1} \mathrm{~K}^{-1}\right]}$

Statement$-II$ is incorrect

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