MCQ
An object is moving through the liquid. The viscous damping force acting on it is proportional to the velocity. Then dimension of constant of proportionality is
- A$M{L^{ - 1}}{T^{ - 1}}$
- B$ML{T^{ - 1}}$
- C${M^0}L{T^{ - 1}}$
- ✓$M{L^0}{T^{ - 1}}$
✓
Answer
Correct option: D.
$M{L^0}{T^{ - 1}}$
d
(d) $F \propto v \Rightarrow F = kv \Rightarrow [k] = \left[ {\frac{F}{v}} \right] = \left[ {\frac{{ML{T^{ - 2}}}}{{L{T^{ - 1}}}}} \right] = [M{T^{ - 1}}]$
(d) $F \propto v \Rightarrow F = kv \Rightarrow [k] = \left[ {\frac{F}{v}} \right] = \left[ {\frac{{ML{T^{ - 2}}}}{{L{T^{ - 1}}}}} \right] = [M{T^{ - 1}}]$
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