When the light of frequency $$2$$ϑ$$0$$ (where$$ ϑ$$0$$ is threshold $$frequency), is incident on a metal plate, the maximum velocity of electrons emitted is $$v1$$. When the frequency of the incident radiation is increased to $$5$$ϑ$$0$$, the maximum velocity of electrons emitted from the same plate is $$v2$$. The ratio of $$v1$$ to $$v2$$ is

Question

When the light of frequency $$2$$ϑ$$0$$ (where$$ ϑ$$0$$ is threshold $$frequency), is incident on a metal plate, the maximum velocity of electrons emitted is $$v1$$. When the frequency of the incident radiation is increased to $$5$$ϑ$$0$$, the maximum velocity of electrons emitted from the same plate is $$v2$$. The ratio of $$v1$$ to $$v2$$ is

Infinity Learn · Accepted Answer

According to the Einstein's photoelectric equation, $$E=W0+12mv2When$$ frequency of incident light is $$2$$ϑ$$0h2$$ϑ$$0=h$$ϑ$$0+12mv12$$⇒hϑ$$0=12mv12$$        ...........(i)When$$ frequency of incident light is $$5$$ϑ$$0h5$$ϑ$$0=h$$ϑ$$0+12mv22$$⇒$$4h$$ϑ$$0=12mv22$$             ........$$(ii)Dividing$$ $$(i) by (ii),$$14=v12v22$$ or $$v1v2=12$$

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