(A) Intensity of radiation is defined as the energy incident per unit area per unit time: $I = \frac{E}{A \cdot t}$.For a photon of frequency $f$, the

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(A) Intensity of radiation is defined as the energy incident per unit area per unit time: $I = \frac{E}{A \cdot t}$.For a photon of frequency $f$, the energy is $E = hf$. Thus, the total energy incident is $E_{total} = N \cdot hf$.For surface $A$: $I_A = \frac{n \cdot hf}{A \cdot t}$.For surface $B$: $I_B = \frac{(2n) \cdot h(3f)}{A \cdot (4t)} = \frac{6nhf}{4At} = \frac{3nhf}{2At}$.Taking the ratio: $\frac{I_A}{I_B} = \frac{nhf}{At} \cdot \frac{2At}{3nhf} = \frac{2}{3}$.Therefore, the ratio is $2: 3$.

Class 12 Physics Dual Nature of Radiation and matter Particle Nature of Light : Photon

Medium

Consider two black bodies $A$ and $B$ having equal surface areas. On the surface of $A$, $n$ photons of frequency $f$ are incident perpendicularly in a time $t$. On the surface of $B$, $2n$ photons of frequency $3f$ are incident perpendicularly in a time $4t$. The ratio of average intensity of radiation on surface $A$ to that on surface $B$ is

TS EAMCET 2023 All TS EAMCET

A
$2: 3$
B
$3: 2$
C
$1: 12$
D
$1: 24$

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Dual Nature of Radiation and matter

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Particle Nature of Light : Photon

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DifficultJEE MAIN 2014

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$A$ source $S_1$ is producing $10^{15}$ photons per second of wavelength $5000 \; \mathring{A}$. Another source $S_2$ is producing $1.02 \times 10^{15}$ photons per second of wavelength $5100 \; \mathring{A}$. Then,$(\text{power of } S_2) / (\text{power of } S_1)$ is equal to

MediumAIPMT 2010

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The rest energy of an electron is $0.511 \, MeV$. The electron is accelerated from rest to a velocity $0.5 \, c$. The change in its energy will be ............ $MeV$.

Medium

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$A$ photon and an electron, each of $20 \text{ eV}$ energy, move in free space. The ratio of linear momentum of electron $p_e$ to that of photon $p_{ph}$ is : (Take speed of light = $3 \times 10^8 \text{ ms}^{-1}$, charge of electron = $-1.6 \times 10^{-19} \text{ C}$ and mass of electron = $9 \times 10^{-31} \text{ kg}$)

DifficultNEET 2026

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The idea of the quantum nature of light has emerged in an attempt to explain:

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