In a Photo electric effect experiment, A metal ‘X’ is irradiated by two incident radiations in two different experiments. If the ratio of incident frequencies is $$1$$:$$2$$ and the ratio of kinetic energy of photo electrons is $$1$$:$$3$$. Then the correct relation is (where$$ ν$$1$$, ν$$2$$ are incident frequencies in experiment one and two respectively and ν$$0$$ is the threshold frequency of the metal ‘X’$$)

Question

In a Photo electric effect experiment, A metal ‘X’ is irradiated by two incident radiations in two different experiments. If the ratio of incident frequencies is $$1$$:$$2$$ and the ratio of kinetic energy of photo electrons is $$1$$:$$3$$. Then the correct relation is (where$$ ν$$1$$, ν$$2$$ are incident frequencies in experiment one and two respectively and ν$$0$$ is the threshold frequency of the metal ‘X’$$)

Infinity Learn · Accepted Answer

For the same metal, work $$function(W)$$ remains constant;hν$$1=h$$ν$$0+K$$.$$E1$$...$$.1$$ $$hv2=h$$ν$$0+K$$.$$E2$$.....(2)      K.$$E1K$$.$$E2=$$ν$$1-v0$$ν$$2-v0$$;           $$13=$$ν$$1-$$ν$$02$$ν$$1-$$ν$$0$$;  $$2$$ν$$1-$$ν$$0=3($$ν$$1-$$ν$$0)$$         $$2$$ν$$0=$$ν$$1$$

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