Q4 / 92 · NTA Abhyas (JEE Main) 2020 · Physics · Units and Dimensions

What is the dimensional formula of co-efficient of viscosity?

  • Correct answer
    A
    Dimensional formula: M 1 L - 1 T - 1
  • B
    Dimensional formula: M 2 L - 3 T - 1
  • C
    Dimensional formula: M - 4 L 1 T - 2
  • D
    Dimensional formula: M - 1 L 3 T - 2

Solution

Coefficient of viscosity η=FxAv

F = tangential Force,

A = Area, x = distance between the layers,

v = velocity.

Dimensional Formula of Force =M1L1T-2

Dimensional Formula of Area =M0L2T0

Dimensional Formula of distance =M0L1T0

Dimensional Formula of velocity =M0L1T-1

Putting these values in above equation we get,

η=M1L1T-2M0L1T0M0L2T0M0L1T-1=M1L-1T-1

Hence, the correct answer is option: 'A'.

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