
As per the NCERT textbook, the question is "a moving electron has 5x10-25 J of kinetic energy. What is the de Broglie wavelength", (and not 5 x 10 j)
Here it is given,
mass of electron = 9.1 x 10-31 kg
Kinetic energy i.e. 1 / 2 mv2 = 5 × 10-25 J
That is, 1 / 2 x (9.1× 10-31) v2 = 5 x 10-25
v2 = 5 x 10-25 x 2 / 9.1× 10-31
So, v = 1.048 x 103 m/s
Now, Planck’s constant h = 6.62 x 10-34 Js = 6.62 x 10-34 kg m2 s-1
Wavelength, λ = ?
λ = h / m v
λ = (6.62 × 10-34 kg m2 s-1)/(9.1 × 10-31 kg x 1.048 x 103 m sec−1)
λ = 6.9 x 10-7 m.