JEE Mains · Physics · STD 12 - 11. Dual nature of radiation and matter
A copper ball of radius \(1\, cm\) and work function \(4.47\,eV\) is irradiated with ultraviolet radiation of wavelength \(2500\mathop A\limits^o \). The effect of irradiation results in the emission of electrons from the ball. Further the ball will acquire charge and due to this there will be a finite value of the potential on the ball. The charge acquired by the ball is
- A \(5.5 \times {10^{ - 13}}\,C\)
- B \(7.5 \times {10^{ - 13}}\,C\)
- C \(4.5 \times {10^{ - 12}}\,C\)
- D \(2.5 \times {10^{ - 11}}\,C\)
Answer & Solution
Correct Answer
(A) \(5.5 \times {10^{ - 13}}\,C\)
Step-by-step Solution
Detailed explanation
Let us assume that, Lost energy of electron is equal to its stopping potential \(E\, = \,KE\, + \,\Phi \) \(\frac{12100}{\lambda A}=V+4.47 \mathrm{eV}\) \(\frac{12100}{2500}=V+4.47\) \(\frac{124}{25}=V+4.47\) \(4.95=V+4.47\) \(\mathrm{V}=4.95-4.47=0.48\)…
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