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The rate of change of velocity of a body falling from rest in resisting medium is described by equation \(\frac{{dv}}{{dt}} = At - Bv\). The dimensions for A and B are
1. [LT-3], [T]
2. [LT], [T-1]
3. [LT], [T]
4. [LT-3], [T-1]

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Correct Answer - Option 4 : [LT-3], [T-1]

Dimension for B is \(\left[ {{T^{ - 1}}} \right]\). Dimension for A will be  \(\left[ {L{T^{ - 1}}} \right]\left[ {{T^{ - 1}}} \right]\left[ {{T^{ - 1}}} \right] = \left[ {L{T^{ - 3}}} \right]\).

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