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Question

The velocity υ (in cm/s) of a particle is given in terms of time (t) by the equation: υ=at+bt+c. Dimensions of a, b and c are


A

AL2,BT,CLT2

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B

ALT2,BLT,CL

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C

ALT2,BL,CT

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D

AL,BLT,CT2

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Solution

The correct option is C

ALT2,BL,CT


v=at+bt+c[at]=[v][LT1][a]=[LT1]T=[LT2]Dimensions ofc=[c]=[T](We can add quantities of same dimensions only.)[bt+c]=[v]=[LT1][b]=[LT1][T]=[L]


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