Two identical metal plates show the photoelec | vedclass

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

Question

(B) According to Einstein's photoelectric equation,the maximum kinetic energy $K$ is given by $K = \frac{hc}{\lambda} - W$,where $W$ is the work funct

Vedclass · Accepted Answer

${K_A} < {K_B}/2$

Vedclass · Answer

(B) According to Einstein's photoelectric equation,the maximum kinetic energy $K$ is given by $K = \frac{hc}{\lambda} - W$,where $W$ is the work function of the metal.Since the plates are identical,they have the same work function $W$.For plate $A$: $K_A = \frac{hc}{\lambda_A} - W$.For plate $B$: $K_B = \frac{hc}{\lambda_B} - W$.Given $\lambda_A = 2\lambda_B$,we substitute this into the equation for $K_A$:$K_A = \frac{hc}{2\lambda_B} - W \Rightarrow 2K_A = \frac{hc}{\lambda_B} - 2W \Rightarrow \frac{hc}{\lambda_B} = 2K_A + 2W$.From the equation for $K_B$,we have $\frac{hc}{\lambda_B} = K_B + W$.Equating the two expressions for $\frac{hc}{\lambda_B}$:$2K_A + 2W = K_B + W$.Rearranging the terms: $K_B = 2K_A + W$.Since $W > 0$,it follows that $K_B > 2K_A$,which implies $K_A < K_B/2$.

Two identical metal plates show the photoelectric effect when light of wavelength ${\lambda _A}$ falls on plate $A$ and ${\lambda _B}$ falls on plate $B$,where ${\lambda _A} = 2{\lambda _B}$. The maximum kinetic energy is:

Similar Questions

$540\, g$ of ice at $0^\circ C$ is mixed with $540\, g$ of water at $80^\circ C$. The final temperature of the mixture is

$A$ uniform rod of mass $M$ and length $L$ is placed on a smooth horizontal surface. $A$ horizontal force $F$ is applied at one end of the rod perpendicular to its length. The acceleration of the centre of mass of the rod is:

Which has the maximum number of molecules among the following?

For the stationary wave $y = 4 \sin \left( \frac{\pi x}{15} \right) \cos (96 \pi t)$,the distance between a node and the next antinode is

Aniline-water mixture can be separated by

Vedclass Test Series

Exam Paper Generator

Online Exam Module