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Q.

Force (F) and density (d) are related as F=α/(β+d). Then the dimensional formula of α is

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a

M1/2L-3/2T-3

b

M3/2L-1/2T-2

c

ML-3/2T-3/2

d

M-12L-5/2T-2

answer is B.

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Detailed Solution

[β]=[d]=M1/2L-3/2∴[α]=[F][β]=MLT-2M1/2L-3/2=M3/2L-1/2T-2
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