Questions from the Chapter Charged Particles
1.
The diagram shows the path of an electron as it travels in air. The electron rotates clockwise around a uniform magnetic field into the plane of the paper, but the radius of the orbit decreases in size.
a i. Explain the origin of the force that causes the electron to spiral in this manner.[2]
ii. Explain why the radius of the ircle gradually decreases. [2]
b. At one point in the path, the speed of the electron is 1.0*10^7 m/s and the magnetic flux density is 0.25T.Calculate:
i.the force on an electron at this point due to the magnetic field.[2]
ii. the radius of the path at this point. [2]
2.
The diagram shows an arrangement to deflect protons from a source to a detector using a magnetic field. A uniform magnetic field exists only within the area shown. Protons move from the source to the detector in the plane of the paper.
a
i.Copy the diagram and sketch the path ofa proton from the source to the detector.
Draw an arrow at two points on the path to show teh direction of the force on the proton produced by the magnetic field. [3]
ii.State the direction of the magnetic field within the area shown.[1]
b.The speed of a proton as it enters the magnetic field is 4.0*10^6 m/s. The magnetic flux density is 0.25T. Calculate:
i. the magnitude of the force on the proton caused by the magnetic field. [1]
ii. the radius of curvature of the path of the proton in the magnetic field. [2]
c.Two changes to the magnetic field in the area shown are made. These changes allows an electron with the same speed as the proton to be deflected along the same path as the prton. State the two changes made. [2]
3.
The diagram shows an electron tube. Electrons emitted from the cathode accelerate towards the anode and then pass into a uniform electric field created by two oppositely charged parallel metal plates.
a i.Explain why the beam curves upward. [2]
ii. Explain how the pattern formed on the fluorescent screen shows that all the electrons have the same speed as they leave the anode.[2]
b. Write down an equation relating the speed of the electrons v to the potential difference V(ac) between the anode and the cathode.[1]
c. The deflection of the beam upward can be cancelled by applying a suitable uniform magneti field in the space between the parallel plates.
i.State the direction of magnetic field for this to happen. [1]
ii. Write down an equation relating the speed of the electrons, v , the electri field E that exists between the plates and the magnetic flux density B needed to make the electrons pass undeflected between the plates. [2]
iii. Calculate the value of B required, using the appratus shown in the diagram, given that the specific charge on an electron e/m is 1.76*10^11 C/kg [2]
4.Protons and helium nuclei from the Sun pass into the Earth's atmosphere above the poles, where the magnetic flux density is 6.0*10^-5 T. The particles are moving at a speed of 1.0*10^6 at right angles to the magnetic field in this region. The magnetic field can be assumed to be uniform.
a.Calculate the radius of the path of a proton as it passes avoce the Earth's pole.[3]
b.Draw a diagram to show the deflection caused by the magnetic field on a proton and on a helium nucleus which both have teh same initial velocity as they enter the magnetic field. State on the diagram the radius of the path of each particle.
Mass of helium nucles=6.8*10^-27kg;Charge on a helium nucleus = 3.2*10^-19 C [2]
5. In Milkan's oil drop experiment, an oil drop of weight 1.5*10^-14 N is held stationary between plates 10 mm apart by a p.d between the plates of 470 V.
a.Draw a digram of the apparatus and explain why the oil drop remains stationary.[3]
b. i.Calculate the charge on the oil drop. [3]
ii. Explain what is meant by the quantanisation of charge. [3]
c. When the charge on the oil drop is changed, the p.d needed to keep the drop stationary also changes. Values of 940 V and 313 V are also obtained.
i.Describe how the charge on the oil drop can be changed while the drop remains between the plates.[1]
ii. Explain why only certain values of p.d are found in this experiment and predict another value of the p.d that mey be required when the charge on the oil drop is changed.[3]
The diagrams for questions 1,2 and 3 are attached below.