Energy of 1photon of `gamma` rays having wavelength of `2.5xx10^(-13)`m will be how many times energy of radiation having wavelength of 5000 Å

Options

A. `2xx10^(6)`
B. `4xx10^(6)`
C. `8xx10^(6)`
D. `0.5xx10^(6)`

Answer

A

Explanation

Let energy of photon of `lambda_(1)=2.5xx10^(-13)m` is n times energy of photon of `lambda_(2)5000xx10^(-10)m` wavelength,
`therefore (hc)/(lambda_(1))=n(hc)/(lambda_(2))`
`therefore n=(lambda_(2))/(lambda_(1))=(5000xx10^(-10))/(2500xx10^(-16))`
`therefore n=2xx10^(6)`