All Courses

Dual Nature: Photon and Matter Waves

Which of the following equations correctly represents the momentum p of a photon of Energy E?

Question

Which of the following equations correctly represents the momentum p of a photon of Energy E?

A.

E / c

B.

$\text{E}^2\text c$

C.

Ec

D.

$\text{Ec}^2$

Solution

Correct option is A

$\text{The energy } E \text{ of a photon and its momentum } p \text{ are related by the equation:}\\E = pc \implies p = \frac{E}{c}$

Similar Questions

1)
Energy of a photon of wavelength 5890Åemitted by sodium vapour lamp is
2)
X-rays of wavelength of 0.0650 nm undergo Compton scattering from free electrons in a target. What is the wavelength of photons scattered at 90° relative to the incident rays? ( $h$ = 6.63 × $10^{-34}$ J s, $\left.m_e=9.11 \times 10^{-31} \mathrm{~kg}, c=3 \times 10^8 \mathrm{~m} / \mathrm{s}\right)$
3)
The position of a particle is measured with an uncertainty of 6.6 × $10^{-10}$ m. What is the minimum uncertainty in any simultaneous measurement of the momentum of the particle? ( $h$ = 6.63 × $10^{-34}$ J s)
4)
The minimum X-ray wavelength produced in a tube is 13.5 × $10^{-12}$ m. Through what potential electrons are accelerated in order to generate these rays?
$\left(h=6.63 \times 10^{-34} \mathrm{~J} \mathrm{~s}, c=3 \times 10^8 \mathrm{~m} / \mathrm{s}, 1 \mathrm{eV}=1.6 \times 10^{-19} \mathrm{~J}\right)$
5)
X-rays of wavelength of 0.0650 nm undergo Compton scattering from free electrons in carbon. If photons are scattered at 90° relative to the incident rays, what percentage of initial X-ray photon energy is transferred to an electron in such a scattering? $\left(h=6.63 \times 10^{-34} \mathrm{~J} \mathrm{~s}, m_e=9.11 \times 10^{-31} \mathrm{~kg}, c=3 \times 10^8 \mathrm{~m} / \mathrm{s}\right)$
6)
The momentum of an electron is measured as 4.80 × $10^{-27}$ kg m/s with an uncertainty of 2.4 × $10^{-29}$ kg m/s. What is the minimum uncertainty in the determination of its position? ( $h$ = 6.63 × $10^{-34}$ J s)
7)
X-rays of wavelength of 0.4500 nm are scattered from free electrons in a target. What is the wavelength of photons scattered at 60° relative to the incident rays? $\left(h=6.63 \times 10^{-34} \mathrm{~J} \mathrm{~s}, m_e=9.11 \times 10^{-31} \mathrm{~kg}\right.$ , $\left.c=3 \times 10^8 \mathrm{~m} / \mathrm{s}\right)$
8)
Which of the following equations correctly represents the momentum p of a photon of Energy E?
9)
Which of the following pairs of phenomena illustrate the particle nature of the electromagnetic radiation?
10)
Light with an energy flux of 18 W/ $\text{cm}^2$ falls on a non-reflecting surface at normal incidence. If the surface has an area of 20 $\text{cm}^2$ , find the total momentum delivered (for complete absorption) during a 30 minute time span?

test-prime-package

Access ‘AAI JE ATC’ Mock Tests with

60000+ Mocks and Previous Year Papers
Unlimited Re-Attempts
Personalised Report Card
500% Refund on Final Selection
Largest Community

354k+ students have already unlocked exclusive benefits with Test Prime!

test-prime-package

Access ‘AAI JE ATC’ Mock Tests with

60000+ Mocks and Previous Year Papers
Unlimited Re-Attempts
Personalised Report Card
500% Refund on Final Selection
Largest Community

354k+ students have already unlocked exclusive benefits with Test Prime!