the potential energy of a particle varies with distance x from a fixed origin as U= A√x/x^2+B. where A and B are dimensional constants then dimensional formula for AB is
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U = A√x/(x² + B)
dimensions of U =
[ML²T-²]
dimension of B =
dimension of x²
= [ L²]
dimension of A =
dimension of U(x2)/
√x
= [ ML²T-²] [ L²]/[√L]
=[ ML³½T-²]
now, dimensions of
AB = [ML^11/2T^-2]
dimensions of U =
[ML²T-²]
dimension of B =
dimension of x²
= [ L²]
dimension of A =
dimension of U(x2)/
√x
= [ ML²T-²] [ L²]/[√L]
=[ ML³½T-²]
now, dimensions of
AB = [ML^11/2T^-2]
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