The value of Planck's constant is $6.63 \times 1 0^{- 34} J s$ . The speed of light $3 \times 1 0^{17} n m s^{- 1}$ . Which value is closest to the wavelength in nanometer of a quantum of light with frequency of $6 \times 1 0^{15} s^{- 1}$ ?

Name: The value of Planck's constant is 6.63 × 10^-34Js . The speed of light 3 × 10^17 nm s^-1 . Which value is closest to the wavelength in nanometer of a quantum of light with frequency of 6 × 10^15s^-1 ?
Uploaded: 2020-01-06
Description: Click here👆to get an answer to your question ✍️ The value of Planck's constant is 6.63 × 10^-34Js . The speed of light 3 × 10^17 nm s^-1 . Which value is closest to the wavelength in nanometer of a quantum of light with frequency of 6 × 10^15s^-1 ?

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Answer 1

$v = \frac{c}{λ}$
$∴ λ = \frac{3 \times 1 0 ^{17} n m s ^{- 1}}{6 \times 1 0 ^{15} s ^{- 1}} = 50 n m$

Answer 2

v = \frac{c}{λ}

∴ λ = \frac{3 \times 1 0 ^{17} n m s ^{- 1}}{6 \times 1 0 ^{15} s ^{- 1}} = 50 n m

The value of Planck's constant is $6.63 \times 1 0^{- 34} J s$ . The speed of light $3 \times 1 0^{17} n m s^{- 1}$ . Which value is closest to the wavelength in nanometer of a quantum of light with frequency of $6 \times 1 0^{15} s^{- 1}$ ?

$10$

$25$

$50$

$75$

Solution

$v = \frac{c}{λ}$
$∴ λ = \frac{3 \times 1 0 ^{17} n m s ^{- 1}}{6 \times 1 0 ^{15} s ^{- 1}} = 50 n m$

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v=λc​ ∴λ=6×1015s−13×1017nms−1​=50nm

Video Explanation

Patterns of problems

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The value of Planck's constant is $6.63 \times 1 0^{- 34} J s$ . The speed of light $3 \times 1 0^{17} n m s^{- 1}$ . Which value is closest to the wavelength in nanometer of a quantum of light with frequency of $6 \times 1 0^{15} s^{- 1}$ ?

$10$

$25$

$50$

$75$

$v = \frac{c}{λ}$
$∴ λ = \frac{3 \times 1 0 ^{17} n m s ^{- 1}}{6 \times 1 0 ^{15} s ^{- 1}} = 50 n m$

A monochromatic source of light operating at 200 W emits $4 \times 1 0^{20}$ photons per second. Find the wavelength of the light $(i n \times 1 0^{- 7} m)$

A pulse of light of duration 100 ns is absorbed completely by a small object initially at rest. Power of the pulse is 30 $m W$ and the speed of light is $3 \times 1 0^{8} m / s$ . The final momentum of the object is:

The frequency of a photon associated with an energy of 3.31 eV is (given h $= 6.625 \times 1 0^{- 34}$ Js)