What wavelength must electromagnetic radiation have if a photon in the beam has the same momentum as an electron moving with a speed 1.1 × 105m / s (Planck’s constant = 6.6 × 10-34 J-s , rest mass of electron = 9 × 10-31 kg ?

Question

What wavelength must electromagnetic radiation have if a photon in the beam has the same momentum as an electron moving with a speed 1.1 × 105m / s (Planck’s constant = 6.6 × 10-34 J-s , rest mass of electron = 9 × 10-31 kg ? (A) 2/3 nm (B) 20/3 nm (C) 4/3 nm (D) 40/3 nm

Tardigrade Admin · Accepted Answer

Given, me= mass of electron =9 × 10-31 kg =101 × 105 m / s momentum, p=me Ve p =9 × 10-31 × 1.1 × 105 =9.9 × 10-26 kg - m / s From de-Broglie waves λ =(h/p)=(6.6 × 10-34/9.9 × 10-26) m =(2/3) × 10-8 m =(20/3) × 10-9 m =(20/3) nm

Q. What wavelength must electromagnetic radiation have if a photon in the beam has the same momentum as an electron moving with a speed $1.1 \times 1 0^{5} m / s$ (Planck’s constant = $6.6 \times 1 0^{- 34} J - s$ , rest mass of electron = $9 \times 1 0^{- 31} k g$ ?

2/3 nm

20/3 nm

4/3 nm

40/3 nm

3/20 nm

Q. What wavelength must electromagnetic radiation have if a photon in the beam has the same momentum as an electron moving with a speed 1.1×105m/s (Planck’s constant = 6.6×10−34J−s , rest mass of electron = 9×10−31kg ?