The quantity ((nh)/(2piq B))^(1/2) , when n is a postive integer, h is Planck'sconstant, qis charge and B is magnetic field, has the dimensions of

The quantity ((nh)/(2piq B))^(1/2) , when n is a postive integer, h is

1.	The quantity ((nh)/(2piq B))^(1/2) , when n is a postive integer, h is Planck'sconstant, qis charge and B is magnetic field, has the dimensions of
Answer» area speed LENGTH acceleration Solution :Consider the expression for the energy of a photon ` E = hv` to GET thedimensionsof H asthoseof (energy `xx`TIME ). Againthe expression for the force F actingon the charge Q movingwithvelocityv in a magneticfieldis ` qvBsintheta`. Thisgivesthe dimensionsof qB as those of (force/velocity). ` ((nh)/(2piq B))^(1/2) = (("Energy " xx " time")/("Force / velocity "))^(1/2` = displacement ,which is havingthe samedimensions as that of length.

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The quantity ((nh)/(2piq B))^(1/2) , when n is a postive integer, h is Planck'sconstant, qis charge and B is magnetic field, has the dimensions of

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