Q26 / 201 · NTA Abhyas (NEET) 2020 · Physics · Atomic Physics

An electron accelerated under a potential difference of V volt has a certain wavelength λ. It is known that the mass of a proton is about 1800 times the mass of an electron. If a proton has to have the same wavelength λ, then it will have to be accelerated under the potential difference of

  • A
    V volt
  • B
    1800 volt
  • Correct answer
    C
    V1800volt
  • D
    1800 volt

Solution

Wavelength λ=h2mqV

⇒   mqV=h22λ2

⇒    mV=h22λ2q=Constant

(since, λ and q are same for electron and proton both)

∴     V∝1m

⇒   VPVe=memP

⇒    VP=memP.Ve=V1800 volt

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

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