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JEE Advanced 2016 Paper 2

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Question : 10

Total: 54

Light of wavelength λph falls on a cathode plate inside a vacuum tube as shown in the figure. The work function of the cathode surface is ϕ and the anode is a wire mesh of conducting material kept at a distance d from the cathode. A potential difference V is maintained between the electrodes. If the minimum de Broglie wavelength of the electrons passing through the anode is λe, which of the following statement(s) is(are) true ?

For large potential difference (V>>
ϕ
e
),λe is approximately halved if V is made four times
λe increases at the same rate as λph forλph<
hc
ϕ
λe is approximately halved, if d is doubled
λe decreases with increase in ϕ and λph

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