Q13 / 30 · NTA Abhyas (NEET) 2020 · Physics · Electromagnetic Waves

When two different materials A and B having atomic number Z1 and Z2 are used as the target in Coolidge γ-ray tube at different operating voltage V1 and V2 respectively their spectrums are found as below.

Figure

The correct relation is

  • A
    V1>V2 and  Z1>Z2
  • B
    V1<V2 and Z1<Z2
  • C
    V1<V2 and Z1>Z2
  • Correct answer
    D
    V1>V2 and Z1<Z2

Solution

λ min=hceV

⇒       λ∝1V

∵        λ2> λ1 (see graph)

⇒    V1>V2

f=aZ-b Moseley's law

 f ∝Z-12

⇒   λ ∝1Z-12 (∵f∝1λ)

  λ1> λ2 (see graph for characteristic lines)

⇒      Z2>  Z1

Hence, the correct answer is option: 'D'.

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