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The Electric Current in an X-ray Tube (From the Target to the Filament) Operating at 40 Kv is 10 Ma. Assume that on an Average, 1% of the Total Kinetic Energy of the Electron Hitting

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प्रश्न

The electric current in an X-ray tube (from the target to the filament) operating at 40 kV is 10 mA. Assume that on an average, 1% of the total kinetic energy of the electron hitting hte target are converted into X-rays.
(a) What is the total power emitted as X-rays and (b) how much heat is produced in the target every second?

योग
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उत्तर

Given :
V = 30 KV
i = 10mA

1% of TKE (total kinetic energy) = X-ray
i = ne

or  `n = (10^-2)/(1.6 xx 10^-19)`

= `0.625 xx 10^17` (number of electrons)

KE of one electron = eV

= `1.6 xx 10^-19 xx 40 xx 10^3`

= `6.4 xx 10^-15  "J"`

`"T"_("KE") = 0.625 xx 6.4 xx 10^17 xx 10^-15`

= `4 xx 10^2  "J"`

(b) Heat produced in target per second = 400 − 4 = 396 J

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 44: X-rays - Exercises [पृष्ठ ३९५]

APPEARS IN

एचसी वर्मा Concepts of Physics Volume 1 and 2 [English]
अध्याय 44 X-rays
Exercises | Q 22 | पृष्ठ ३९५

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