Question 6
6
7 marks
Question 6(a)
6(a)
Describe the main principles of the determination of the charge on an oil drop by Millikan's experiment. You may draw a diagram if you wish.
Mediumstructured7 marks
Answer
oil drop charged by friction/beta source between parallel metal plates plates are horizontal adjustable potential difference/field between plates until oil drop is stationary B1 \(m g=q \times V / d\) B1 symbols explained oil drop viewed through microscope m determined from terminal speed of drop (when p.d. is zero) (any two extras, 1 each)
Question 6(b)
6(b)
In an experiment to determine the fundamental charge, values of charge on oil drops were found by a student to be as shown below. State the value, to two significant figures, of the fundamental charge that is suggested by these values of charge on oil drops.
Mediumstructured0 marks
Answer
\(3.2 \times 10^{-19} \mathrm{C}\)
Question 7
7
One of the isotopes of uranium is uranium-238 \(\left({ }_{92}^{238} \mathrm{U}\right)\).
structured8 marks
Question 7(a)
7(a)
State what is meant by isotopes.
Easystructured2 marks
Answer
nuclei/atoms with same proton number/atomic number B1 [2] nuclei/atoms contain different numbers of neutrons/different atomic mass B1
Question 7(b)
7(b)
For a nucleus of uranium-238, state
structured2 marks
Question 7(b)(i)
7(b)(i)
the number of protons, number =
Easystructured1 marks
Answer
92 A1 [1]
Question 7(b)(ii)
7(b)(ii)
the number of neutrons. number =
Easystructured1 marks
Answer
146 A1 [1]
Question 7(c)
7(c)
A uranium-238 nucleus has a radius of \(8.9 \times 10^{-15} \mathrm{~m}\). Calculate, for a uranium-238 nucleus,
structured2 marks
Question 7(c)(i)
7(c)(i)
its mass, mass = kg
Mediumstructured2 marks
Answer
mass \(=238 \times 1.66 \times 10^{-27\) (c) (i) \(=3.95 \times 10^{-25} \mathrm{~kg}\) mass \(=238 \times 1.66 \times 10^{-27}\) (c) (i) \(=3.95 \times 10^{-25} \mathrm{~kg}\)} C1 [2]
Question 7(d)
7(d)
The density of a lump of uranium is \(1.9 \times 10^{4} \mathrm{~kg} \mathrm{~m}^{-3}\). Using your answer to (c)(ii), suggest what can be inferred about the structure of the atom.
Hardstructured2 marks
Question 7
7
Nuclei of an isotope of copper ( Cu ) each have 29 protons and 37 neutrons. This isotope is a \(\beta^{-}\)emitter.
structured8 marks
Question 7(a)
7(a)
State the nuclide notation in the form \({ }_{Z}^{A} \mathrm{X}\) for this nucleus of copper.
Easystructured1 marks
Answer
\({ }_{29}^{66} \mathrm{Cu}\) B1
Question 7(b)
7(b)
The energy spectrum of the \(\beta^{-}\)radiation emitted by a sample of this isotope is shown in Fig. 7.1.
structured7 marks
Question 7(b)(i)
7(b)(i)
Use Fig. 7.1 to explain why other particles apart from the \(\beta^{-}\)particles must be emitted during this decay.
Mediumstructured3 marks
Answer
the energy of the decay is fixed / constant B1 the energies of the beta particles have a (continuous) range of values / varies / not constant B1 another particle / an (anti)neutrino must possess the extra / remaining energy (difference between energy of the decay and the \(\beta\) kinetic energy) B1
Question 7(b)(ii)
7(b)(ii)
State the name of the other particle emitted during the decay of this isotope.
Easystructured1 marks
Answer
(electron) antineutrino B1
Question 7(b)(iii)
7(b)(iii)
The copper isotope decays to an isotope of zinc (Zn). Give the radioactive decay equation for this decay. Include the nucleon and proton numbers of all the particles involved.
Mediumstructured3 marks
Answer
\[ { }_{29}^{66} \mathrm{Cu} \rightarrow{ }_{30}^{66} \mathrm{Zn}+{ }_{-1}^{0} \beta+{ }_{0}^{0} \overline{\mathrm{v}_{\mathrm{e}}} \] values for Cu and Zn correct with no other extra particles on either side of the equation B1 second term correct ( \({ }_{-1}^{0} \beta\) ) B1 third term correct ( \({ }_{0}^{0} \overline{\mathrm{v}_{\mathrm{e}}}\) ) B1