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The dimensional formula of coefficient of viscosity is
  • a)
    MLT^-1
  • b)
    [M-1L2T-2]
  • c)
    [ML-1T-1]
  • d)
    Non of these
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The dimensional formula of coefficient of viscosity isa)MLT^-1b)[M-1L2...
Coefficient of Viscosity Dimensional Formula

Dimensional Formula: [ML^-1T^-1]

Explanation:

Viscosity is defined as the internal frictional force that opposes the motion of the fluid layers relative to each other. The coefficient of viscosity is a measure of the magnitude of this force. The dimensional formula for the coefficient of viscosity can be obtained using the formula for viscosity.

Viscosity = (Force × Distance)/(Area × Velocity)

Dimensional formula for force = [MLT^-2]

Dimensional formula for distance = [L]

Dimensional formula for area = [L^2]

Dimensional formula for velocity = [LT^-1]

Substituting the dimensional formula for these variables in the formula for viscosity, we get:

[ML^-1T^-1] = ([MLT^-2] × [L])/([L^2] × [LT^-1])

Simplifying this expression, we get:

[ML^-1T^-1] = [M^-1L^2T^-2]

Therefore, the dimensional formula for the coefficient of viscosity is [ML^-1T^-1].
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Community Answer
The dimensional formula of coefficient of viscosity isa)MLT^-1b)[M-1L2...
Acc. to the formula - F=6πnrv , n=F/6πrv =[MLT^-2]/[L][LT^-1] Hence the dimensional formula of coefficient of viscosity(n) =[ML^-1T^-1]
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The dimensional formula of coefficient of viscosity isa)MLT^-1b)[M-1L2T-2]c)[ML-1T-1]d)Non of theseCorrect answer is option 'C'. Can you explain this answer?
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