HardPhysicsfluid
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-- 3. If force is given by F = A*sqrt(x) + Bt², where x is displacement and t is time, then dimensions of A/B is
A
[L T⁻¹]
B
[L T⁻²]
C
[L⁻¹ T²]
D
[L⁻¹/² T²]
Explanation
[A*sqrt(x)] = [F] => [A] = [MLT⁻²] / [L¹/²] = [ML¹/²T⁻²]. [Bt²] = [F] => [B] = [MLT⁻²] / [T²] = [MLT⁻⁴]. Therefore, [A/B] = [ML¹/²T⁻²] / [MLT⁻⁴] = [L⁻¹/² T²].
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