Tiêu đề QM DPP Sheet 02.pdf ✅

1 North Delhi : 56-58, First Floor, Mall Road, G.T.B. Nagar (Near Metro Gate No. 3), Delhi-09, Ph: 011-41420035 South Delhi : 28-A/11, Jia Sarai, Near-IIT Metro Station, New Delhi-16, Ph : 011-26851008, 26861009 IIT JAM PHYSICS 2024 (Online Batch) Section: MODERN PHYSICS (Quantum Mechanics) Chapter: COMPTON EFFECT Daily Practice Problem (DPP) Sheet 2 PART - A: Multiple Choice Questions (MCQ) 1. An x-ray photon whose initial frequency was 1.5×1019 Hz, emerges from a collision with an electron with a frequency of 1.2×1019 Hz. The kinetic energy imparted to the electron is (a) 12.4 eV (b) 12.4 keV (c) 124 keV (d) 1.24 keV 2. An x-ray photon of initial frequency 3.0 ×1019 Hz collides with an electron and is scattered through 90°. Its new frequency will be (a) 4.8×1019 Hz (b) 2.4 ×1019 Hz (c) 2.4 ×1018 Hz (d) 1.2 ×1019 Hz 3. If the change in wavelength of the scattered light in the Compton scattering is twice the Compton wavelength of the electron then the deflection angle of photon is (a)  / 6 (b)  (c)  / 2 (d)  / 3 4. At what scattering angle will incident 100 keV x-rays leave a target with an energy of 90 keV? (a) sin–1 (0.58) (b) cos–1 (0.58) (c) sin–1 (0.42) (d) cos–1 (0.42) 5. A photon of frequency  is scattered by an electron (rest mass ‘m’) initially at rest. The maximum kinetic energy of the recoil electron is (a)     2 2 2 2 2 2 2 / 1 2 / h mc h mc    (b)     2 2 2 2 2 2 2 / 1 2 / h mc h mc    (c)     2 2 2 2 2 / 1 2 / h mc h mc    (d)     2 2 2 2 2 / 1 2 / h mc h mc    6. The fractional increase in wavelength that leads to a 75% loss of photon energy in a Compton collision is (a) 100% (b) 300% (c) 75% (d) 150% 7. The relation between the scattering angles of photon () and electron () in Compton effect is (a) 2 0 cot tan 2 hf m c    (b) 2 0 cot 1 tan 2 hf m c           (c) 2 0 cot tan 2 hf m c    (d) 2 0 cot 1 tan 2 hf m c           8. A photon of energy h strikes a free electron at rest and is scattered backward. If the speed of the electron after collision is c  1, then the kinetic energy of the recoil electron is (a)  h (b) 2h (c) 1 2  h (d) 1 4 h
2 North Delhi : 56-58, First Floor, Mall Road, G.T.B. Nagar (Near Metro Gate No. 3), Delhi-09, Ph: 011-41420035 South Delhi : 28-A/11, Jia Sarai, Near-IIT Metro Station, New Delhi-16, Ph : 011-26851008, 26861009 PART - B: Numerical Answer Type (NAT) Questions 9. X-rays of wavelength 1A0 are scattered from a block at an angle 900 w.r.t . the incident beam. The kinetic energy of the recoiling electron is ___________________________________________________ eV [Your answer should be upto ONE DECIMAL PLACES] 10. X-rays of wavelength 10 pm are scattered from the target. The maximum wavelength that are present in the scattered X-rays is _____________________________________________________________ pm [Your answer should be upto TWO DECIMAL PLACES] 11. An X-ray photon of frequency 19 3 10  Hz collides with a free electron at rest and scattered at 600 . The angle with the incident beam at which electrons will recoil, is ___________________________ degree [Your answer should be upto ONE DECIMAL PLACES] 12. A 2 MeV gamma photon is scattered by a free electron at angle 1800 . The energy of the recoil electron will be ______________________________________________________________________ MeV [Your answer should be upto ONE DECIMAL PLACES] 13. In a Compton experiment, the ultraviolet ray of wavelength 2000 A0 is scattered from an electron at rest. If the observation of the scattered x-rays is made at 900 w.r.t the direction of incident light, then to measure the compton shift, the minimum resolving power of an optical instrument that will be needed is ______________________________________________ [Your answer should be an INTEGER] 14. A beam of x-rays is scattered by a target. At 45° from the beam direction, the scattered x-rays have a wavelength of 2.2 pm. The wavelength of the x-rays in the direct beam is _____________________ pm. [Your answer should be upto TWO DECIMAL PLACES] 15. A photon has the same wavelength as the Compton wavelength of an electron. The energy of the photon is _________________________________________________________________________ MeV [Your answer should be upto TWO DECIMAL PLACES] 16. A photon whose energy equals the rest energy of the electron undergoes a Compton collision with an electron. If the electron moves off at an angle of 40° with the original photon direction, then the energy of the scattered photon is ___________________________________ KeV [Your answer should be an INTEGER] 17. A photon of energy 110 keV suffers a wavelength change of 10% on being scattered by a stationary free electron. The kinetic energy of the recoil electron is ____________________________________ keV [Your answer should be an INTEGER] 18. In Compton scattering experiment, X-ray photon is back scattered and electron recoils with energy 4 keV. The wavelength of the incident photon is ________________________________________________ A0 [Your answer should be upto TWO DECIMAL PLACES]
3 North Delhi : 56-58, First Floor, Mall Road, G.T.B. Nagar (Near Metro Gate No. 3), Delhi-09, Ph: 011-41420035 South Delhi : 28-A/11, Jia Sarai, Near-IIT Metro Station, New Delhi-16, Ph : 011-26851008, 26861009 PART - C: Multiple Select Questions (MSQ) 19. A gamma ray of energy 0.51 MeV strikes an electron head on and is scattered straight backwards. Which of the following statements is/are CORRECT? (a) The energy of the scattered photon will be 0.17 MeV. (b) The kinetic energy of the recoil electron will be 0.34 MeV. (c) The energy of the recoil electron will be 0.85 MeV. (d) The velocity of recoil electron will be 0.8c. 20. An X-ray photon of wavelength 0.3 A0 is scattered through an angle of 450 by a free stationary electron. Which of the following statements is/are CORRECT? (a) The wavelength of the scattered photon is 0.307 A0 . (b) The wavelength of the scattered photon is 0.324 A0 . (c) The direction of recoil electron w,r.t incidet rdiation is 65.90 . (d) The direction of recoil electron w,r.t incidet rdiation is 55.90 . Answer Key PART - A: Multiple Choice Questions (MCQ) 1. (b) 2. (b) 3. (b) 4. (d) 5. (d) 6. (b) 7. (b) 8. (a) PART - B: Numerical Answer Type (NAT) Questions 9. ( ) 10. (14.80 to 15.00) 11. (54.0 to 55.0) 12. (2.2 to 2.4) 13. (82430 to 82450) 14. (1.45 to 1.55) 15. (0.48 to 0.54) 16. (333 to 338) 17. (10) 18. (0.34 to 0.38) PART - C: Multiple Select Questions (MSQ) 19. (a,b,c,d) 20. (a,c)