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Which two of the following five physical...

Which two of the following five physical parameters have the same dimension?
(1) Energy density
(2) refractive index
(3) dielectric constant
(4) Young's modulus
(5) magnitic 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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