Question

An X-ray tube is operated at 15 kV. Calculate the upper limit of the speed of the electrons striking the target.(a) 7.26 × 10⁷ m/s(b) 7.62 × 10⁷ m/s(c) 7.62 × 10⁷ cm/s(d) 7.26 × 10⁹ m/s

Answer 1

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♦ Option [B] is Correct

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Answer 2

Answer:

(b) 7.62 × 10⁷ m/s

Explanation:

Energy of the xray tube = 15kv ( Given)

Thus,

The maximum kinetic energy of an electron  is accelerated through a potential difference of  V volt = 1/2mv² = eV

Therefore maximum velocity = v = √2eV/m

v = √2× 1.6× 10~19×15000/ 9.1× 10~31

V = 7.62 × 10⁷

Therefore, the upper limit of the speed of the electrons striking the target is 7.62 × 10⁷.