1. An electron of energy 200 eV is passed through a circular hole of
radius 10-4 cm. What is the uncertainty introduced in the momentum and
also in the angle of emergence?[Ans: ...g cm/s; ... radians] Get solution
2. In continuation of the previous problem, what would be the corresponding uncertainty for a 0.1g lead ball thrown with a velocity 103 cm/sec through a hole 1 cm in radius?[Ans: ... radians] Get solution
3. A photon of wavelength 6000 Å is passed through a slit of width 0.2 mm(a) Calculate the uncertainty introduced in the angle of emergence.(b) The first minimum in the single slit diffraction pattern occurs at sin-1 (λ/b) where b is the width of the slit. Calculate this angle and compare with the angle obtained in part (a).[Ans: ... radians] Get solution
4. A 50 W bulb radiates light of wavelength 0.6 μm. Calculate the number of photons emitted per second.[Ans: ≈ 1.5 × 1020 photons/s] Get solution
5. Calculate the uncertainty in the momentum of a proton which is confined to a nucleus of radius equal to 10-13 cm. From this result, estimate the kinetic energy of the proton inside the nucleus. What would be the kinetic energy for an electron if it had to be confined within a similar nucleus? Get solution
6. The lifetime of the 2P state of the hydrogen atom is about 1.6 × 10-9 s. Use the time energy uncertainty relation to calculate the frequency width Δν.[Ans: ≈ 6 × 108 s-1] Get solution
7. A 1 W laser beam (of diameter 2 cm) falls normally on two circular holes each of diameter 0.05 cm as shown in Fig. 1.13. Calculate the average number of photons that will be found between the planes AB and PP′. Assume λ = 6 × 10–5 cm and the distance between the planes AB and PP′ to be 30 cm.[Ans. ≈ 4× 106 photons]... Get solution
2. In continuation of the previous problem, what would be the corresponding uncertainty for a 0.1g lead ball thrown with a velocity 103 cm/sec through a hole 1 cm in radius?[Ans: ... radians] Get solution
3. A photon of wavelength 6000 Å is passed through a slit of width 0.2 mm(a) Calculate the uncertainty introduced in the angle of emergence.(b) The first minimum in the single slit diffraction pattern occurs at sin-1 (λ/b) where b is the width of the slit. Calculate this angle and compare with the angle obtained in part (a).[Ans: ... radians] Get solution
4. A 50 W bulb radiates light of wavelength 0.6 μm. Calculate the number of photons emitted per second.[Ans: ≈ 1.5 × 1020 photons/s] Get solution
5. Calculate the uncertainty in the momentum of a proton which is confined to a nucleus of radius equal to 10-13 cm. From this result, estimate the kinetic energy of the proton inside the nucleus. What would be the kinetic energy for an electron if it had to be confined within a similar nucleus? Get solution
6. The lifetime of the 2P state of the hydrogen atom is about 1.6 × 10-9 s. Use the time energy uncertainty relation to calculate the frequency width Δν.[Ans: ≈ 6 × 108 s-1] Get solution
7. A 1 W laser beam (of diameter 2 cm) falls normally on two circular holes each of diameter 0.05 cm as shown in Fig. 1.13. Calculate the average number of photons that will be found between the planes AB and PP′. Assume λ = 6 × 10–5 cm and the distance between the planes AB and PP′ to be 30 cm.[Ans. ≈ 4× 106 photons]... Get solution
