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Force F depends on distance (x) and time (t) as F = ax^2 + bt^1/2, find dimension of b^2/a

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Force F depends on distance (x) and time (t) as F = ax2 + bt1/2, find dimension of b2/a

(1) M1L2T –3

(2) M1L–3T3

(3) M1L3T–3

(4) M2L2T1

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The correct option is (3) M1L3T–3

From dimensional analysis

From dimensional analysis

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