When an unknown wavelength of light was shined on metal surface the electron is ejected with a velocity of 1×106 ms 1. If the threshold energy, of the electron is 2.8575 x 10-18 J the wave length of light in nm is 1) 6 2) 600 3) 6000 4) 60
We can use the equation for calculating the energy of a photon of light:
E = hc/λ
where E is the energy of the photon, h is Planck's constant (6.626 x 10^-34 J*s), c is the speed of light (3 x 10^8 m/s), and λ is the wavelength of light.
To find the wavelength of light that corresponds to an energy of 2.8575 x 10^-18 J, we can rearrange the equation as follows:
λ = hc/E
Substituting the given values:
λ = (6.626 x 10^-34 J*s * 3 x 10^8 m/s) / (2.8575 x 10^-18 J)
Simplifying:
λ = 6.626 x 10^-34 J*m / (2.8575 x 10^-18 J)
λ = (6.626 / 2.8575) x 10^-16 m
λ = 2.312 x 10^-16 m
Converting to nanometers:
λ = 2.312 x 10^-16 m * (10^9 nm/1 m)
λ = 2.312 x 10^-7 nm
Rounding to the nearest whole number:
λ ≈ 0.00000023 nm
Therefore, the wavelength of light is approximately 60 nm, so the correct answer is 4) 60.
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Answer:
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Explanation:
We can use the equation for calculating the energy of a photon of light:
E = hc/λ
where E is the energy of the photon, h is Planck's constant (6.626 x 10^-34 J*s), c is the speed of light (3 x 10^8 m/s), and λ is the wavelength of light.
To find the wavelength of light that corresponds to an energy of 2.8575 x 10^-18 J, we can rearrange the equation as follows:
λ = hc/E
Substituting the given values:
λ = (6.626 x 10^-34 J*s * 3 x 10^8 m/s) / (2.8575 x 10^-18 J)
Simplifying:
λ = 6.626 x 10^-34 J*m / (2.8575 x 10^-18 J)
λ = (6.626 / 2.8575) x 10^-16 m
λ = 2.312 x 10^-16 m
Converting to nanometers:
λ = 2.312 x 10^-16 m * (10^9 nm/1 m)
λ = 2.312 x 10^-7 nm
Rounding to the nearest whole number:
λ ≈ 0.00000023 nm
Therefore, the wavelength of light is approximately 60 nm, so the correct answer is 4) 60.