NEET Class neet Answered

Argument of sine function is dimensionless.

Denominator of argument of sine function is of dimension of energy .

Hence, Numerator is also has dimension of energy .

since x is dimension of displacement , i.e. length , then  α is of dimension of  force.

LHS has dimension of energy density , i.e energy per unit volume .

Hence , dimension of ( α / β ) is dimension of ( energy/volume )

Dimension of ( energy / volume ) =  (  M L T^-2 L / L³ ) = ( M L^-1 T^-2 )

Dimension of α  ( Force ) =  M L T^-2

Dimension of β  [  Force / ( energy / volume ) / Force ]  = ( M L T^-2 ) / ( M L^-1 T^-2 ) /  = L² .