Calculate the wavelength associated with an electron moving with a velocity of 106 m / s (mass of e-=9.1 × 10-31 kg, . h=6.6 × 10-34 kg m 2 s -1)

Question

Calculate the wavelength associated with an electron moving with a velocity of 106 m / s (mass of e-=9.1 × 10-31 kg, . h=6.6 × 10-34 kg m 2 s -1) (A)  6.2× 10-8 m  (B)  7.25× 10-8 m  (C)  6.25 mathringA (D) None of the above

Tardigrade Admin · Accepted Answer

According to de-Broglie equation λ=(h/m v) =(6.6 × 10-34 kg m 2 s -1/9.1 × 10-31 kg × 106 ms -1) =0.725 × 10-9 m =7.25 × 10-10 m

Q. Calculate the wavelength associated with an electron moving with a velocity of $1 0^{6} m / s$ (mass of $e^{-} = 9.1 \times 1 0^{- 31} k g, h = 6.6 \times 1 0^{- 34} k g m^{2} s^{- 1})$

$6.2 \times 1 0^{- 8} m$

$7.25 \times 1 0^{- 8} m$

$6.25 \overset{˚}{A}$

None of the above

According to de-Broglie equation
$λ = \frac{h}{m v}$
$= \frac{6.6 \times 1 0 ^{- 34} k g m ^{2} s ^{- 1}}{9.1 \times 1 0 ^{- 31} k g \times 1 0 ^{6} m s ^{- 1}}$
$= 0.725 \times 1 0^{- 9} m$
$= 7.25 \times 1 0^{- 10} m$

Q. Calculate the wavelength associated with an electron moving with a velocity of 106m/s (mass of e−=9.1×10−31kg,h=6.6×10−34kgm2s−1)

6.2×10−8m

7.25×10−8m

6.25A˚