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JEE Main 2004
Exam
JEE Main
Year
2004
Subject
Physics
Chapter
Units and Dimensions

JEE Main 2004 · Physics · Units and Dimensions

Which one of the following represents the correct dimensions of the...

Which one of the following represents the correct dimensions of the coefficient of viscosity?

Options

  1. AML−1 T−2\mathrm{ML}^{-1} \mathrm{~T}^{-2}
  2. BMLT−1\mathrm{MLT}^{-1}
  3. CML−1 T−1\mathrm{ML}^{-1} \mathrm{~T}^{-1}
  4. DML−2 T−2\mathrm{ML}^{-2} \mathrm{~T}^{-2}

Correct answer

C. ML−1 T−1\mathrm{ML}^{-1} \mathrm{~T}^{-1}

Step-by-step solution

Dimensions of η\eta (coefficient of viscosity) =MLT−2M0 L0⋅M0LT−1=ML−1 T−1\frac{\mathrm{MLT}^{-2}}{\mathrm{M}^0 \mathrm{~L}^0 \cdot \mathrm{M}^0 \mathrm{LT}^{-1}}=\mathrm{ML}^{-1} \mathrm{~T}^{-1}
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