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Q.

A small metal plate (work-function Ws) is kept at a distance d from a singly ionised fixed ion. A monochromatic light beam is incident on the metal plate and photoelectric are emitted. The maximum wavelength of light so that the photo-electrons maygo round the ions along a circle is

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a

8πε0W0d+e28πhcε0d

b

8πhcε0d8πε0W0d+e2

c

2hcW0−e2n

d

8πε0dhceW0

answer is B.

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Detailed Solution

Here we have mv2d=e24πε0d2 or v2=e24πε0md By Einstein's photoelectric equation hv=W0+12mv2=W0+12mv2 or 2hc/λ−W0m=v2 From eqs. (1) and (2), we have 2hcλ−W0m=e24πε0md or hcλ=W0+e28πε0d or hcλ=8πε0W0d+e28πε0d or λ=8πε0hcd8πε0W0d+e2
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