In an electron microscope, through approximately how many volts of potential difference must electrons be accelerated to achieve a de Broglie wavelength of 1.0 × 10 − 10 m?a) 1.5 × 10 − 2 Vb) 1.5 × 10 − 1 Vc) 1.5 Vd) 15 Ve) 150 V

Question

In an electron microscope, through approximately how many volts of potential difference must electrons be accelerated to achieve a de Broglie wavelength of   1.0  ×      10          −      10        m?a)   1.5  ×      10          −      2        Vb)   1.5  ×      10          −      1        Vc)   1.5  Vd)   15  Ve)   150  V

Jimena Torres · Accepted Answer

Given:The DE Broglie wavelength   (  λ  )  =  1.0  ×      10          −      10        m  .The DE Broglie equation is given as,  λ  =      h          2      m      E          λ  =      h          m      e      V      Where,h = plank’s constant.V = voltage difference.m = mass of electron.e = charge on electronThe voltage will be given as,  λ  =      h          m      e      V              m    e    V    =      h    λ      V  =            h      2                      λ        2            ×      2      m      e          V  =            (      6.62      ×              10                  −          34                            )        2                    (      1      ×              10                  −          10                            )        2            ×      2      ×      9.1      ×              10                  −          31                    ×      1.6      ×              10                  −          19                        V  =  150.49   vlotsAnswer:The voltage will be = 150 Volt.

In an electron microscope, through approximately how many volts of potential difference must electrons be accelerated to achieve a de Broglie wavelength of 1.0 xx 10^(-10) m? a) 1.5 xx 10^(-2) V b) 1.5 xx 10^(-1) V c) 1.5 V d) 15 V e) 150 V

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