Question
A monochromatic light source of intensity 6mW emits $8 \times 10^{16} $ photons per second. This light ejects photoelectrons from a metal surface. The stopping potential for this setup is 2.0V. Calculate the work function of the metal.

Answer

$\text{w}_0=\text{hv}-\text{ev}_0$$=\frac{5\times10^{-3}}{8\times10^{15}}-1.6\times10^{-19}\times2$
(Given $V_0 = 2V,$ No. of photons $= 8 \times 10^{15},$
Power = 5mW)$=6.25\times10^{-19}-3.2\times10^{-19}=3.05\times10^{-19}\text{J}$
$=\frac{3.05\times10^{-19}}{1.6\times10^{-19}}=1.906\text{ev.}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Explain barrier potential of $p-n$ junction.
In a p-n junction, a potential barrier of 250meV exists across the junction. A hole with a kinetic energy of 300meV approaches the junction. Find the kinetic energy of the hole when it crosses the junction if the hole approached the junction.
  1. From the p-side.
  2. From the n-side.
In a chamber, a uniform magnetic field of $6.5 \mathrm{G}\left(1 \mathrm{G}=10^{-4} \mathrm{~T}\right)$ is maintained. An electron is shot into the field with a speed of $4.8 \times 10^6 \mathrm{~m} \mathrm{~s}^{-1}$ normal to the field. Explain why the path of the electron is a circle. Determine the radius of the circular orbit.
$\left(\mathrm{e}=1.6 \times 10^{-19} \mathrm{C}, \mathrm{~m}_{\mathrm{e}}=9.1 \times 10^{-31} \mathrm{~kg}\right)$
The following table shows some measurements of the decay rate of a radionuclide sample. Find the disintegration constant.
Time (min) lnR (Bq)
36 5.08
100 3.29
164 1.54
218 0
A 10cm long rod carries a charge of $+50\mu\text{C}$ distributed uniformly along its length. Find the magnitude of the electric field at a point 10cm from both the ends of the rod.
Two charged particles, having equal charges of $2.0 \times 10^{-5}C$ each, are brought from infinity to within a separation of 10cm. Find the increase in the electric potential energy during the process.
What is end error in a metre bridge? How is it overcome? The resistances in the two arms of the metre bridge are $\text{R}=5\Omega$ and S respectively. When the resistance S is shunted with an equal resistance, the new balance length found to be 1.5 $l_1$, where $l_1$ is the initial balancing length. Calculate the value of S.
State the underlying principle of working of a moving coil galvanometer. Write two reasons why a galvanometer can not be used as such to measure current in a given circuit. Name any two factors on which the current sensitivity of a galvanometer depends.
A straight wire of length l can slide on two parallel plastic rails kept in a horizontal plane with a separation d. The coefficient of friction between the wire and the rails is $\mu.$ If the wire carries a current i, what minimum magnetic field should exist in the space in order to slide the wire on the rails?
A free atom of iron emits $\text{K}_\alpha$ X-rays of energy 6.4keV. Calculate the recoil kinetic energy of the atom. Mass of an iron atom $= 9.3 \times 10^-^{26}kg.$