What is the momentum of a photon having frequency 1.5 × 1013 Hz ?

Question

What is the momentum of a photon having frequency 1.5 × 1013 Hz ? (A)  3.3 × 10-29 kg-m/s  (B)  3.3 × 10-34 kg-m/s  (C)  6.6 × 10-34 kg-m/s  (D)  6.6 × 10-32 kg-m/s

Tardigrade Admin · Accepted Answer

n = 1.5 × 1013 Hz p = (h/λ) = (6.6× 10-34/c/n) = (6.6 × 10-34 × 1.5 × 1013/3× 108) = 3.3 × 1029 kg-m/s

Q. What is the momentum of a photon having frequency $1.5 \times 1 0^{13} Hz$ ?

$3.3 \times 1 0^{- 29} k g - m / s$

$3.3 \times 1 0^{- 34} k g - m / s$

$6.6 \times 1 0^{- 34} k g - m / s$

$6.6 \times 1 0^{- 32} k g - m / s$

$n = 1.5 \times 1 0^{13} Hz$
$p = \frac{h}{λ}$
$= \frac{6.6 \times 1 0 ^{- 34}}{c / n}$
$= \frac{6.6 \times 1 0 ^{- 34} \times 1.5 \times 1 0 ^{13}}{3 \times 1 0 ^{8}}$
$= 3.3 \times 1 0^{29} k g - m / s$

Q. What is the momentum of a photon having frequency 1.5×1013Hz ?

3.3×10−29kg−m/s

3.3×10−34kg−m/s

6.6×10−34kg−m/s

6.6×10−32kg−m/s