the maximum wavelength for photoelectric emission in tungsten is 230 nm what wavelength of light must be used in order for electrons with a maximum kinetic energy 1.7ev to be ejected?
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Dear Student,
◆ Answer -
λ = 175 nm
● Explaination -
# Given -
λ₀ = 230 nm = 230×10^-9 m
KE = 1.7 eV = 1.7×1.6×10^-19 J
# Solution -
Wavelength of incident light is calculated as -
KE = hc/λ - hc/λ₀
KE = hc (1/λ - 1/λ₀)
1.7×1.6×10^-19 = 6.63×10^-34 × 3×10^8 [1/λ - 1/(230×10^-9)]
1.7×1.6×10^-19 / 1.988×10^-25 = (1/λ - 4.348×10^6)
1.368×10^6 = 1/λ - 4.348×10^6
1/λ = 1.368×10^6 + 4.348×10^6
1/λ = 5.716×10^6
λ = 1.749×10^-7 m
λ = 175 nm
Therefore, wavelength of light used is 175 nm.
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