Electrons in an x-ray imaging medical equipment are accelerated from rest through a potential difference of 65kv. What is the average speed of each of these electrons?
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Answer:
The electron inside a cathode ray starts from rest and is accelerated by the tubes started by the tubes voltage of 21.9k v. the speed is (in km/sec)and we have an electron inside the category to which is start from the rest. So initial energy kinetic energy zero. Or we can say that initial experience equals to zero, which is accelerated by potential difference of 21.9 kilovolt. And we have to determine the speed in kilometers per second with which electro it's the screen of the tube so that from the energy conservation we can drive change in kinetic energy equals to changing potential energy. So change in kinetic energy it will be equals 21 by two. M v square minus one by two. Um you square that will be equals two. Uh, Charles manipulated by potential difference. Delta we. Okay, so now this is zero. So from here we can write from this value becomes zero. So after rearranging the situation in this situation, so we get we equals two E manipulated by delta P divided by mm. Okay, so now substituting values so we get under root of two, manipulated by E, which is charged magnitude of charge on the electrons. So 1.60 to 10 to 10 to the power minus 19 columns. And delta we which is this value. So 21.9 kilovolts, 10 to the power three world. They were by mass of the electron, which is 9.11 into 10 to the power minus 31 kg. So from here, after solving, we get final speed V equals to 8.78 molecular by 10 to the power four kilometer per second.
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