A source of monochromatic radiation of wavelength 400 nm provides 1000 J of energy in 10 seconds. When this radiation falls on the surface of sodium, x × 10²? electrons are ejected per second. Assume that wavelength 400 nm is sufficient for ejection of electron from the surface of sodium metal. The value of x is ______ (Nearest integer).
(h = 6.626 × 10?³?Js)
A source of monochromatic radiation of wavelength 400 nm provides 1000 J of energy in 10 seconds. When this radiation falls on the surface of sodium, x × 10²? electrons are ejected per second. Assume that wavelength 400 nm is sufficient for ejection of electron from the surface of sodium metal. The value of x is ______ (Nearest integer).
(h = 6.626 × 10?³?Js)
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1 Answer
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Energy per second = 1000 J / 10 s = 100 J/s
Energy of one photon E = hc/λ = (6.626×10? ³? × 3×10? ) / (400×10? ) = 4.965 × 10? ¹? J
Number of electrons ejected = Total energy / Energy per photon = 100 / (4.965 × 10? ¹? ) = 20.14 × 10¹? ≈ 2 × 10²?
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