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This is a physics exam for the first stage of the bachelor of engineering (honours) in mechanical engineering program at cork institute of technology. The exam covers various topics such as physical constants, laser light production, intensity ratio of sounds, doppler effect, force on a current carrying conductor, moving coil meter, coulomb's law, gauss's law, parallel plate capacitance, nuclear decay, nuclear fission and fusion, half life, and critical angle. The exam also includes questions on the photoelectric effect and superconductivity.
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Answer FIVE questions Examiners: Mr M.J. Howard All questions carry equal marks Mr. J.E. Hegarty Prof. M. Gilchrist Physical constants
Charge on electron: e -^ = 1.6 x 10 -19^ C Permittivity vacuum: ε 0 = 8.85 x 10 -12^ C 2 N-1^ m- Density of water: ρ = 1000 Kg m - Speed of light: 3 x 10 8 ms-
Specific Heat Capacity of water: 4200 J Kg -1^ K- Planck’s Constant: 6.626 x 10 -34^ Js Rest mass of electron: 9.11 x 10 -31^ Kg Velocity of sound in air: 343 ms -
Q1 (a) What are the physical mechanisms that produce laser light and give a detailed description of how a He-Ne laser works. Include its design and internal features. (5 marks) (b) What is the intensity ratio of two sounds if one is 90dB and the other is 93dB? (3 marks) (c) What is the Doppler Effect and how does it work? (5 marks)
(d) A +high speed train is travelling at a speed of 100mph and sounds its warning siren at 415Hz. What frequency and wavelength is perceived by a stationary observer as (i) the train approaches, (ii) the train recedes? (7 marks)
Q2 (a) Derive the formula for a force on a current carrying conductor: F=BILSINθ. (4 marks) (b) Calculate the force for above at angles of 90, 60, 45, 30 & 0 if the flux was 0.5 tesla, current was 30mA and the conductor was 20cm in length. (3 marks) (c) A moving coil meter contains a coil of 50 turns wound on a rectangular frame 5cm x 2cm suspended in a radial magnetic field of 10-2^ Tesla by means of a fibre with Torsion constant of 10 -8^ Nmdeg-1^. The coil resistance is 50Ω. Calculate the following: (i) the current sensitivity of the meter S (^) I (ii) the resistance required to convert it to a 0-1 A ammeter, if its fsd is 2mA. (iii) the resistance required to produce a 0-1V voltmeter (iv) S (^) V (8 marks) (d) Describe the operation of the DC motor with the aid of diagrams. (5 marks)
Q3. (a) State Coulomb’s law. How do different dielectrics affect the forces between two charges? What is the value of the electric field 30cm from an electron? (5 marks) (b) Discuss Gauss’s law and state the formula. (3 marks) (c) Derive the formula for parallel plate capacitance: C = (kε 0 A)/d. (6 marks) (d) Calculate the percentage difference between Cv & Cp, vacuum & polyethylene respectively when the distance between the 1 cm^2 plates is 1mm & the dielectric for polyethylene is 2.25? (6 marks)
Q4. (a) Describe in full, with the aid of symbols, what happens during α, β & γ decay. Note: there are three variations of β – decay! Also, discuss the stabilizing role of the neutron in all of the above. (6 marks) (b) Show and discuss clearly the methods of Nuclear Fission & Nuclear Fusion. Use diagrams to help. Why is Fusion more difficult at present? (5 marks) (c) The half life for Na – 25 is 60 seconds. What percentage of the initial nuclei remains after 10 minutes? (4 marks) (d) Wood from an ancient ruined dwelling give C-14 activity of 13 disintegrations per minute per gram of carbon. C-14 activity of living wood is 17. How long ago did the tree die? (T1/2 = 5730 years) (5 marks)