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Question

Which of the following pair of quantities do not have the same dimensions?
  1. Light year,distance
  2. Light year,time period
  3. Impedance,resistance
  4. None of these

A
Light year,distance
B
Impedance,resistance
C
Light year,time period
D
None of these
Solution
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The correct option is A Light year,time period
Light year is the unit of astronomical distance. It is equal to the distance travels by light in a year. So its dimension is [L].
The dimension of time period is [T]
As impedance and resistance both have same unit, ohm so they will have same dimension.

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