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Question

Question: Electrons are accelerated through a potential difference of V = 10 kV. The minimum wavelength l<sub>...

Electrons are accelerated through a potential difference of V = 10 kV. The minimum wavelength lmin of the X-ray emitted is–

A

1.24 × 10–10 m

B

1.24 × 10–7 m

C

1240 × 10–10 m

D

4000 × 10–10 m

Answer

1.24 × 10–10 m

Explanation

Solution

lmin corresponds to the maximum frequency, which occurs when all the electron's kinetic energy goes to photon.

lmin=

lmin= 1.24×106104\frac { 1.24 \times 10 ^ { - 6 } } { 10 ^ { 4 } }= 1.24 × 10–10 m