Threshold wavelength for photoelectric emission from a metal surface is 5200 ${A^0}$ Photoelectrons will be emitted when this surface is illuminated with monochromatic radiation from:
A. 1 W IR lamp
B. 50 W UV lamp
C. 50 W IR lamp
D. 10 W IR lamp
Answer
663.6k+ views
Hint: When light(photons) falls on a surface of metal then electrons gain some energy from it and get emitted with some kinetic energy .This phenomena is called photo electric effect. Also when the light falls on the surface of the metal like sodium, rubidium etc. then their electrons start emitting and this phenomenon is known as photoelectric emission. We will use definition to solve the question accordingly.
Complete step-by-step answer:
The condition for photoelectric effect is that the light must have energy greater than a minimum energy (called threshold energy) then only it will be able to emit electrons.
Thus, its equation is given by
$
K.E = E - {E_0} \\
K.E = hv - h{v_o} \\
K.E = \dfrac{{hc}}{\lambda } - \dfrac{{hc}}{{{\lambda _0}}} \\
$
Where
K.E. is the kinetic energy, h is the planck's constant, c is the velocity of light and $\lambda $ is the wavelength.
Using the above equation to solve the question
Since, $K.E > 0$ for photoelectric effect.
Therefore
$
\Rightarrow \dfrac{{hc}}{\lambda } - \dfrac{{hc}}{{{\lambda _0}}} > 0 \\
\Rightarrow \dfrac{{hc}}{\lambda } > \dfrac{{hc}}{{{\lambda _0}}} \\
\Rightarrow \lambda < {\lambda _0} \\
\Rightarrow \lambda < 5200{A^0}{\text{ or }}520nm \\
$
Since our visible range is from 400nm to 700nm, the UV rays range is less than 400nm and the infrared range is more than 700nm .Therefore, UV rays can be used to illuminate the surface of this metal.
Hence the correct option is B.
Note: We can see that here in options the power of light is also given which is directly linked with the intensity of light. It does not have to do anything with the energy of emitted electrons in photoelectric effect. It is only related to the number of electrons emitted if power is more, intensity will be more thus more electrons will be emitted .
Complete step-by-step answer:
The condition for photoelectric effect is that the light must have energy greater than a minimum energy (called threshold energy) then only it will be able to emit electrons.
Thus, its equation is given by
$
K.E = E - {E_0} \\
K.E = hv - h{v_o} \\
K.E = \dfrac{{hc}}{\lambda } - \dfrac{{hc}}{{{\lambda _0}}} \\
$
Where
K.E. is the kinetic energy, h is the planck's constant, c is the velocity of light and $\lambda $ is the wavelength.
Using the above equation to solve the question
Since, $K.E > 0$ for photoelectric effect.
Therefore
$
\Rightarrow \dfrac{{hc}}{\lambda } - \dfrac{{hc}}{{{\lambda _0}}} > 0 \\
\Rightarrow \dfrac{{hc}}{\lambda } > \dfrac{{hc}}{{{\lambda _0}}} \\
\Rightarrow \lambda < {\lambda _0} \\
\Rightarrow \lambda < 5200{A^0}{\text{ or }}520nm \\
$
Since our visible range is from 400nm to 700nm, the UV rays range is less than 400nm and the infrared range is more than 700nm .Therefore, UV rays can be used to illuminate the surface of this metal.
Hence the correct option is B.
Note: We can see that here in options the power of light is also given which is directly linked with the intensity of light. It does not have to do anything with the energy of emitted electrons in photoelectric effect. It is only related to the number of electrons emitted if power is more, intensity will be more thus more electrons will be emitted .
Recently Updated Pages
Which of the following graphs shows the variation of class 12 physics CBSE

Draw a labelled diagram of the human male reproductive class 12 biology CBSE

Describe the experiment to compare the emf of two cells class 12 physics CBSE

What is standard hydrogen electrode

What is conventional current and electric current class 12 physics CBSE

2Bromopentane is treated with an alcoholic KOH solution class 12 chemistry CBSE

Trending doubts
Draw a labelled sketch of the human eye class 12 physics CBSE

Which are the Top 10 Largest Countries of the World?

A member of Simon commission later became Prime Minister class 12 social science CBSE

Draw ray diagrams each showing i myopic eye and ii class 12 physics CBSE

Give one example of a reptile that is viviparous class 12 biology CBSE

Which is the correct genotypic ratio of mendel dihybrid class 12 biology CBSE

