Solveeit Logo

Question

Question: The voltage applied to an X-ray tube is 18 kV. The maximum mass of photon emitted by theX-ray tube w...

The voltage applied to an X-ray tube is 18 kV. The maximum mass of photon emitted by theX-ray tube will be-

A

2 × 10–13 kg

B

3.2 × 10–36 kg

C

3.2 × 10–32 kg

D

9.1 × 10–31 kg

Answer

3.2 × 10–32 kg

Explanation

Solution

Energy of photon is given by mc2 now the maximum energy of photon is equal to the maximum energy of electron = eV

Hence,mc2 =eV Žm= eVc2\frac { \mathrm { eV } } { \mathrm { c } ^ { 2 } } =1.6×1019×18×103(3×108)2\frac { 1.6 \times 10 ^ { - 19 } \times 18 \times 10 ^ { 3 } } { \left( 3 \times 10 ^ { 8 } \right) ^ { 2 } }

= 3.2 × 10–32 kg