The momentum of a photon having frequency 1.0 × 1015 s -1 is about

Question

The momentum of a photon having frequency 1.0 × 1015 s -1 is about (A) 2.21 × 10-11 kg ⋅ m / s (B) 2.21 × 10-27 kg ⋅ m / s (C) 2.21 × 10-19 kg ⋅ m / s (D) 6.63 × 10-19 kg ⋅ m / s

Tardigrade Admin · Accepted Answer

P=(h/λ)=(h/C) × v =((6.6 × 10-34 Js )(1015 s -1)/(3 × 108 ms -1)) =2.21 × 10-27 kg ⋅ m / s

Q. The momentum of a photon having frequency $1.0 \times 1 0^{15}$ $s^{- 1}$ is about

$2.21 \times 1 0^{- 11} k g \cdot m / s$

$2.21 \times 1 0^{- 27} k g \cdot m / s$

$2.21 \times 1 0^{- 19} k g \cdot m / s$

$6.63 \times 1 0^{- 19} k g \cdot m / s$

$P = \frac{h}{λ} = \frac{h}{C} \times v$

$= \frac{( 6.6 \times 1 0 ^{- 34} J s ) ( 1 0 ^{15} s ^{- 1} )}{( 3 \times 1 0 ^{8} m s ^{- 1} )}$

$= 2.21 \times 1 0^{- 27} k g \cdot m / s$

Q. The momentum of a photon having frequency 1.0×1015 s−1 is about

2.21×10−11kg⋅m/s

2.21×10−27kg⋅m/s

2.21×10−19kg⋅m/s

6.63×10−19kg⋅m/s