Physics-
General
Easy

Question

If a voltage applied to an X-ray tube is increased to 1.5 times the minimum wavelength left parenthesis lambda subscript m i n end subscript of an X-ray continuous spectrum shifts by capital delta lambda equals 26 p m. The initial voltage applied to the tube is

  1. almost equal to 10 kV    
  2. almost equal to 16 kV    
  3. almost equal to 50 kV    
  4. almost equal to 75 kV    

The correct answer is: almost equal to 16 kV


    lambda fraction numerator h c over denominator e V end fraction subscript m i n end subscriptÞlambda subscript 1 end subscript equals fraction numerator h c over denominator e V subscript 1 end subscript end fractionand lambda subscript 2 end subscript equals fraction numerator h c over denominator e V subscript 2 end subscript end fraction
    \ capital delta lambda equals lambda subscript 2 end subscript minus lambda subscript 1 end subscript equals fraction numerator h c over denominator e end fraction open square brackets fraction numerator 1 over denominator V subscript 2 end subscript end fraction minus fraction numerator 1 over denominator V subscript 1 end subscript end fraction close square brackets. Given V2 = 1.5 V1
    on solving we get V1 = 16000 volt = 16 kV.

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