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Light of wavelength lambda(ph)falls on a...

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

A

`lambda_e` decreases with increase in `phi and lambda_(ph)`

B

`lambda_e` is approximately halved, if dis doubled

C

For large potential difference `(Vgtgtphi//e),lambda_e` is approximately halved if V is made four times

D

`lambda_e` increases at the same rate as `lambda_(ph) " for " lambda_(ph)lt hc//phi`

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