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Q.

Find the dimensional formula of [αβ] when αt2=FV+B/x2

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a

M2L4T-3

b

M2L6T-4

c

ML6T-2

d

M2L-2T2

answer is B.

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Detailed Solution

∴[α][t2]=ML2T-3⇒[α]=ML2T-1;[β]x2=ML2T-3⇒[β]=ML4T-3∴[αβ]=ML2T-1×ML4T-3=M2L6T-4
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Find the dimensional formula of [αβ] when αt2=FV+B/x2