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The expression for centripetal force (F) depends upon mass of body (m), speed (v) of the body and the radius (r) of circular path will be expression for centripetal force

a
F=mv22r3
b
F=mv2r
c
F=mv2r2
d
F=m2v22r

detailed solution

Correct option is B

According to question,F∝mavbrcF=kmavbrck, being a dimensionless constant.From homogeneity of dimensions,LHS = RHSMLT-2=MaLT-1bLcor MLT-2=MaLb+cT-bComparing the powers, we obtaina =1b + c =1-b=2⇒b=2∴      2+c=1⇒c=-1Therefore, F=kmv2r-1=kmv2rThe experimental value of k is found to be here∴  F=mv2r

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