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Standard XII

Physics

Electric Potential at a Point in Space Due to a Point Charge Q

Three metals ...

Question

Three metals have work functions in the ratio 2:3:4.When graphs are drawn for all between the stopping potential and the incident frequency. The graphs have slopes in the ratio

2: 3: 4

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4: 3: 2

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6: 4: 3

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1: 1: 1

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Solution

The correct option is D 1: 1: 1
Answer is A.
Here equation is
$V = (h ν - ϕ) / e$
or $V = \frac{h γ}{e} - \frac{ϕ}{e}$
or comparing with
$y = m x + c$
we get $m = h / e a n d c = - ϕ / e$
So, slope, $m = h / e$
which is a constant.
So, ratio is 1:1:1.

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Three metals have work functions in the ratio 2:3:4.When graphs are drawn for all between the stopping potential and the incident frequency. The graphs have slopes in the ratio

The correct option is D 1: 1: 1Answer is A.Here equation isV=(hν−ϕ)/eor V=hγe−ϕeor comparing withy=mx+cwe get m=h/e and c=−ϕ/eSo, slope, m=h/ewhich is a constant.So, ratio is 1:1:1.

The correct option is D 1: 1: 1
Answer is A.
Here equation is
$V = (h ν - ϕ) / e$
or $V = \frac{h γ}{e} - \frac{ϕ}{e}$
or comparing with
$y = m x + c$
we get $m = h / e a n d c = - ϕ / e$
So, slope, $m = h / e$
which is a constant.
So, ratio is 1:1:1.