The value of Planck's constant is 6.63 × 10-34 Js. The velocity of light is 3.0 × 108 ms-1. Which value is closest to the wavelength in nanometers of a quantum of light with frequency of 8 × 1015 s-1?

Question

The value of Planck's constant is 6.63 × 10-34 Js. The velocity of light is 3.0 × 108 ms-1. Which value is closest to the wavelength in nanometers of a quantum of light with frequency of 8 × 1015 s-1? (A) 4 × 101 (B) 3 × 107 (C) 2 × 1025 (D) 5 × 10-18

Tardigrade Admin · Accepted Answer

Frequency (v)=(c/λ)=(3×108 m s-1/8× 1015s-1) = 0.375×10-7 m = 3.75 × 101 nm ≈4 × 101 nm

Q. The value of Planck's constant is $6.63 \times 1 0^{- 34} J s .$ The velocity of light is $3.0 \times 1 0^{8} m s^{- 1}$ . Which value is closest to the wavelength in nanometers of a quantum of light with frequency of $8 \times 1 0^{15} s^{- 1}$ ?

$4 \times 1 0^{1}$

$3 \times 1 0^{7}$

$2 \times 1 0^{25}$

$5 \times 1 0^{- 18}$

Frequency (v) $= \frac{c}{λ} = \frac{3 \times 1 0 ^{8} m s ^{- 1}}{8 \times 1 0 ^{15} s ^{- 1}}$
$= 0.375 \times 1 0^{- 7} m$
$= 3.75 \times 1 0^{1} nm \approx 4 \times 1 0^{1} nm$

Q. The value of Planck's constant is 6.63×10−34Js. The velocity of light is 3.0×108ms−1. Which value is closest to the wavelength in nanometers of a quantum of light with frequency of 8×1015s−1?

4×101

3×107

2×1025

5×10−18