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A quantity X is given by (me^(4))/(8epsi...

A quantity `X` is given by `(me^(4))/(8epsilon_(0)^(2)ch^(3))` where `m` is mass of electron, `e` is the charge of electron, `epsilon_(0)` is the permittivity of free space, `c` is the velocity of light and `h` is the Planck's constant. The dimensional formula for `X` is the same as that of :

A

length

B

frequency

C

velocity

D

wave number

Text Solution

Verified by Experts

The correct Answer is:
D
`X=(me^(4))/(8epsilon_(0)^(2)ch^(3))` This is Rydberg.s constant which has dimesions of wave number `i.e.L^(-1).`
Hence `(d)` is correct choice.
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