A light beam of wavelength 500 , nm is incide | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Using Einstein's photoelectric equation: $K_{\max} = \frac{hc}{\lambda} - \phi$.Given $hc = 20 	imes 10^{-26} \, J \cdot m$,$\lambda = 500 	imes

Vedclass · Accepted Answer

$125$

Vedclass · Answer

(B) Using Einstein's photoelectric equation: $K_{\max} = \frac{hc}{\lambda} - \phi$.Given $hc = 20 	imes 10^{-26} \, J \cdot m$,$\lambda = 500 	imes 10^{-9} \, m$,and $\phi = 1.25 \, eV = 1.25 	imes 1.6 	imes 10^{-19} \, J = 2 	imes 10^{-19} \, J$.$K_{\max} = \frac{20 	imes 10^{-26}}{500 	imes 10^{-9}} - 2 	imes 10^{-19} = 4 	imes 10^{-19} - 2 	imes 10^{-19} = 2 	imes 10^{-19} \, J$.The radius of the circular path in a magnetic field is $r = \frac{\sqrt{2 m_e K_{\max}}}{eB}$.Rearranging for $B$: $B = \frac{\sqrt{2 m_e K_{\max}}}{er}$.Substituting values: $B = \frac{\sqrt{2 	imes 9 	imes 10^{-31} 	imes 2 	imes 10^{-19}}}{1.6 	imes 10^{-19} 	imes 0.3} = \frac{\sqrt{36 	imes 10^{-50}}}{0.48 	imes 10^{-19}} = \frac{6 	imes 10^{-25}}{0.48 	imes 10^{-19}} = 12.5 	imes 10^{-6} \, T = 125 	imes 10^{-7} \, T$.Thus,the value of $B$ is $125 	imes 10^{-7} \, T$.

List-$I$	List-$II$
$a$. Franck-Hertz Experiment	$i$. Particle nature of light
$b$. Photo-electric Experiment	$ii$. Discrete energy levels of atom
$c$. Davisson-Germer Experiment	$iii$. Wave nature of electron
	$iv$. Structure of atom

Similar Questions

Find the number of photons emitted per second by a $25 \text{ W}$ source of monochromatic light of wavelength $6600 \text{ Å}$. What is the photoelectric current assuming $3 \%$ efficiency for the photoelectric effect?

The correct curve between the stopping potential $(V_s)$ and intensity of incident light $(I)$ is

The de-Broglie wavelength of an electron is the same as that of a photon. If the velocity of the electron is $25 \%$ of the velocity of light,then the ratio of the $K.E.$ of the electron to the $K.E.$ of the photon will be:

Vedclass Test Series

Exam Paper Generator

Online Exam Module