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Q.

If α=Fv2sinβt, find dimensions of α and β, Here v = velocity, F=force and t = time.

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a

[α] = [ML1] [β] = [T-1]

b

[α] = [ML-1] [β] = [T1]

c

[α] = [ML-1] [β] = [T-1]

d

[α] = [ML1] [β] = [T1]

answer is A.

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Detailed Solution

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dimension of α=Fv2=MLT-2L2T-2=ML-1

dimension of  β=T-1

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