A photon of energy 1.02 MeV undergoes Compton scattering at an angle of 90 degrees. What is the energy of the scattered photon in MeV?

A. 0.34 — Using the Compton scattering formula E' = E / (1 + (E/m0c^2)(1 - cos(theta))), with theta = 90 degrees, cos(theta) = 0. E' = 1.02 / (1 + 1.02/0.51) = 1.02 / 3 = 0.34 MeV.

JEE Main · PhysicsHard

$A photon of energy 1.02 MeV undergoes Compton scattering at an angle of 9 0^{\circ} . What is the energy of the scattered photon in MeV ? (Take electron rest mass energy m_{0} c^{2} = 0.51 MeV)$

A. $0.34$
B. $0.51$
C. $0.68$
D. $0.85$

Show correct answer & step-by-step solution

Correct answer: A — $0.34$

Solution

Using the formula E^{'} = \frac{E}{1 + \frac{E}{m _{0} c ^{2}} ( 1 - c o s θ )}, with θ = 9 0^{\circ}, we have cos θ = 0 . Thus E^{'} = \frac{1.02}{1 + \frac{1.02}{0.51}} = \frac{1.02}{1 + 2} = 0.34 MeV .

Attempt this question & track your score

Attempt & Track Free →

More Modern Physics practice questions

$The energy of a photon with frequency nu is given by which of the following expressions?$
$What is the value of the work function for a metal surface if the threshold frequency is 5 times 10 to the power 14 Hert$
$In the Bohr model of the hydrogen atom, what is the angular momentum of an electron in the first orbit?$
$Which of the following particles has the longest de Broglie wavelength if they all move with the same velocity?$
$What is the half-life of a radioactive substance if its decay constant is 0.693 per second?$
$A radioactive sample has a half-life of 20 days. What fraction of the original sample will remain undecayed after 100 da$
$In a photoelectric effect experiment, the stopping potential for a metal surface is 2.0 V when light of wavelength 300 n$
$An electron in a hydrogen atom jumps from the third excited state to the ground state. What is the wavelength of the emi$
$The de Broglie wavelength of an electron accelerated through a potential difference of 100 V is approximately:$
$A nucleus with mass number 240 breaks into two fragments each of mass number 120. If the binding energy per nucleon of t$
$A hydrogen-like atom with atomic number Z is in an excited state of principal quantum number n. It emits a photon of wav$
$A radioactive sample decays with a decay constant lambda. The time required for the activity to decrease from A0 to A0/e$

View all Modern Physics questions →

A photon of energy 1.02 MeV undergoes Compton scattering at an angle of 90∘. What is the energy of the scattered photon in MeV? (Take electron rest mass energy m0​c2=0.51 MeV)

Solution

Attempt this question & track your score

More Modern Physics practice questions

$A photon of energy 1.02 MeV undergoes Compton scattering at an angle of 9 0^{\circ} . What is the energy of the scattered photon in MeV ? (Take electron rest mass energy m_{0} c^{2} = 0.51 MeV)$