Question:
The energy of one mole of photons of radiation of wavelength \(300\) \(nm\) is (Given \(h\) = \(6.63 × 10^{–34}\)Js, \(N_A\) = \(6.02 × 10^{23}\) \(mol^{–1}\), \(c = 3 × 10^8\) \(ms^{–1}\))
The energy of one mole of photons of radiation of wavelength \(300\) \(nm\) is (Given \(h\) = \(6.63 × 10^{–34}\)Js, \(N_A\) = \(6.02 × 10^{23}\) \(mol^{–1}\), \(c = 3 × 10^8\) \(ms^{–1}\))
Updated On: Mar 21, 2025
- 235 kJ \(mol^{–1}\)
- 325 kJ \(mol^{–1}\)
- 399 kJ \(mol^{–1}\)
- 435 kJ \(mol^{–1}\)
Hide Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
Wavelength of radiation = \(300\) \(nm\)
Photon energy
= \(\frac{hc}λ\)
= \(\frac{6.63 × 10^{-34} × 3 × 10^8}{300 × 10 ^{-19}}\)
= \(6.63 × 10^{-19}\) \(J\)
Energy of \(1\) mole of photons
= \(6.63 × 10^{-19} × 6.02 × 10^{23} × 10^{-3}\)
= \(399\) \(kJ\)
Was this answer helpful?
1
0
Top Questions on Dual nature of radiation and matter
- Atomic spectral emission lines of hydrogen atom are incident on a zinc surface. The lines which can emit photoelectrons from the surface are members of:
- CBSE CLASS XII - 2025
- Physics
- Dual nature of radiation and matter
- Radiations of two frequencies are incident on a metal surface of work function 2.0 eV one by one. The energies of their photons are 2.5 eV and 4.5 eV respectively. Find the ratio of the maximum speed of the electrons emitted in the two cases.
- CBSE CLASS XII - 2025
- Physics
- Dual nature of radiation and matter
- Whether the total mass of nuclei increases, decreases or remains unchanged?
- CBSE CLASS XII - 2025
- Physics
- Dual nature of radiation and matter
- Does the process require energy or produce energy?
- CBSE CLASS XII - 2025
- Physics
- Dual nature of radiation and matter
- When a photon of suitable frequency is incident on a metal surface, a photoelectron is emitted from it. If the frequency is below a threshold frequency (ν0) for the surface, no photoelectron is emitted. For a photon of frequency ν (ν > ν0), the kinetic energy of the emitted photoelectron is:
Km = h(ν − ν0)
The photocurrent can be stopped by applying a potential V0, called the "stopping potential," on the anode. Thus, the maximum kinetic energy of photoelectrons is:
Km = eV0 = h(ν − ν0)
The experimental graph between V0 and ν for a metal is shown in the figure. This is a straight line of slope m.
- CBSE CLASS XII - 2025
- Physics
- Dual nature of radiation and matter
View More Questions
Questions Asked in JEE Main exam
- In YDSE, light of intensity \( 4I \) and \( 9I \) passes through two slits respectively. Difference of maximum and minimum intensity of interference pattern is:
- JEE Main - 2025
- Wave optics
Let \( y = f(x) \) be the solution of the differential equation
\[ \frac{dy}{dx} + 3y \tan^2 x + 3y = \sec^2 x \]
such that \( f(0) = \frac{e^3}{3} + 1 \), then \( f\left( \frac{\pi}{4} \right) \) is equal to:
- JEE Main - 2025
- Differential Equations
Find the IUPAC name of the compound.
- JEE Main - 2025
- Aromaticity & chemistry of aromatic compounds
If \( \lim_{x \to 0} \left( \frac{\tan x}{x} \right)^{\frac{1}{x^2}} = p \), then \( 96 \ln p \) is: 32
- JEE Main - 2025
- Limits and Exponential Functions
- The integral \[ \int_0^\pi \frac{8x}{4\cos^2 x + \sin^2 x} \, dx \text{ is equal to:} \]
- JEE Main - 2025
- Trigonometric Functions
View More Questions
Concepts Used:
Radiation
Radiation is the energy or particles from a source that travels from one media to other. It travels through a medium after its emission from a source and is absorbed by matter.
Forms of Radiation:
- Particle Radiation includes the alpha (α), beta (β), and neutron radiations.
- Gravitational Radiation includes the radiation that takes the form of gravitational waves or as ripples in the curvature of space-time.
- Acoustic Radiation includes ultrasound, seismic and sound waves.
- Electromagnetic Radiation is inclusive of radio waves, gamma radiation (γ), x-rays, and visible light.
Types of Radiation:
- Ionizing Radiation - It carries more than 10 eV, that is enough to ionize atoms and molecules and break chemical bonds.
- Non-ionizing Radiation – It consists of alpha particles, beta particles, and gamma particles, whereas ionizing radiation consists of microwave radiation, infrared radiation and radio waves.
Read More: Types of Radiation