In a photoelectric experiment, with light of wavelength `lambda`, the fastest election has speed v. If the exciting wavelength is changed to `(3lambda)/4`, the speed of the fastest emitted electron will become
A
`= v((4)/(3))^(1/2)`
B
`= v((3)/(4))^(1/2)`
C
`gt v((4)/(3))^(1/2)`
D
`lt v((4)/(3))^(1/2)`
Text Solution
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The correct Answer is:
C
`hv_(0)^(2) - hv_(0) = (1)/(2) m v^(2)` `:. (4)/(3) hv_(0) - hv_(0) = (1)/(2) m v^(-2)` `:. (v^(2))/(v^(2) = ((4)/(3) v - v_(0)))/(v - v_(0)) :. V ^(1) = v sqer(((4)/(3) v - v_(0)))/(v - v_(0)))` `:. V^(1) gt sqrt((4)/(3))`
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