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Which two of the following five physical...

Which two of the following five physical paramenters have the same dimensions ?
(a) energy density
(b) refractive index
(c) dielectric constant
(d) Young's modulus
(e) magnetic field

A

(a), (d)

B

(a), (e)

C

(b), (d)

D

(c ), (e)

Text Solution

Verified by Experts

The correct Answer is:
A
Energy density = `("Energy")/("volume") = ([M^(1)L^(2)T^(-2)])/([L^(3)])`
`" "= [M^(1)L^(-1)T^(-2)]`
refractive index = dimensionless
dielectric constant = dimension less
young modulus `= ("stress")/("strain") = [M^(1)L^(-1)T^(-2)]`
Magnetic field = `("force")/("pole strength")= ([M^(1)L^(1)T^(-2)])/([AL])`
`" " = [M^(1)T^(-2)A^(-1)]`
(a, d) and (b, c) having same dimensions
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