The short-wavelength limit shifts by 26 pm when the operating voltage in an X-ray tube is increased to 1.5 times the original value. What was the original value of the operating voltage?

Explanation

Given `lambda=26p m, V'=1.5V `
` .: E=(hc)/lambda `
` or eV=(hc)/lambda `
` lambda=(hc)/(eV) [.:lambdaprop1/v] `
` rArr lambdaV=lambda'V' `
` rArr lambdaV=lambda'xx1.5V
` rArr lambda=1.5xx26xx10^-12 `
` lambda=39xx10^-12m `
` v=(hc)/(elammbda) `
` =(6.63xx3xx10^-34xx10^8)/(1.6xx10^-19xx39xx10^-12) `
` 0.3187xx10^5 `
` =31.87xx10^3V `
` =31.87KV `