Question

The wavelength associated with an electron equal to the wavelength of a proton would be ______ × 10³.

(mass of e = 9 × 10⁻²⁸ g; mass of proton = 1.6725 × 10⁻²⁴ g)

Options

• 1.26

• 1.85

• 2.34

• 3.78

Answer 1

The wavelength associated with an electron equal to the wavelength of a proton would be 1.85 × 10³.

Explanation:

λ_e = λ_p

`"h"/("m"_"e""v"_"e") = "h"/("m"_"p""v"_"p")`

m_ev_e = m_pv_p

`"v"_"e"/"v"_"P" = "m"_"p"/"m"_"e"`

= `(1.67 × 10^-24)/(9 × 10^-28)`

= 1.85 × 10³