The quantities x=1μ0∈0,y=EB and z=lCR are defined where C-capacitance, R-Resistance, l-length, E-Electric field, B-magnetic field and ∈0,μ0−free space permittivity and permeability respectively. Then :
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a
Only x and z have the same dimension
b
Only x and y have the same dimension
c
Only y and z have the same dimension
d
x,y and z have the same dimension
answer is D.
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Detailed Solution
x=1μ0ε0⇒dimensional formula of x=M0L1T−1y=EB⇒y=M0L1T−1,z=LT=L1T−1So all quantities have same dimensional formula of velocity or speed.