An X-ray tube is operated at 2 million volt. The wavelength of the shortest wave produced will be around

Question

An X-ray tube is operated at 2 million volt. The wavelength of the shortest wave produced will be around (A) 1 mathringA (B) 6 × 10-2 mathringA (C) 6 × 10-3 mathringA (D) 2 mathringA

Tardigrade Admin · Accepted Answer

Here, V = 2 × 106 V λ textmin = (hc/eV) = (6.6× 10-34× 3× 108/1.6× 10-19 × 2× 106) = 6 × 10-13 m = 6× 10-3 mathringA

Q. An $X$ -ray tube is operated at $2$ million volt. The wavelength of the shortest wave produced will be around

$1 \overset{˚}{A}$

$6 \times 1 0^{- 2} \overset{˚}{A}$

$6 \times 1 0^{- 3} \overset{˚}{A}$

$2 \overset{˚}{A}$

Here, $V = 2 \times 1 0^{6} V$
$λ_{min} = \frac{h c}{e V}$
$= \frac{6.6 \times 1 0 ^{- 34} \times 3 \times 1 0 ^{8}}{1.6 \times 1 0 ^{- 19} \times 2 \times 1 0 ^{6}}$
$= 6 \times 1 0^{- 13} m$
$= 6 \times 1 0^{- 3} \overset{˚}{A}$

Q. An X-ray tube is operated at 2 million volt. The wavelength of the shortest wave produced will be around

1A˚

6×10−2A˚

6×10−3A˚

2A˚