THE UNITED REPUBLIC OF TANZANIA NATIONAL EXAMINATIONS COUNCIL OF TANZANIA
ADVANCED CERTIFICATE OF SECONDARY EDUCATION EXAMINATIONS
131/1 PHYSICS 1
(For Both School and Private Candidates)
Time: 3 Hours Year: 2023
This paper consists of sections A and B with a total of ten (10) questions.
Answer all questions in section A and choose two (2) questions from section B.
Marks for each question or part thereof are indicated.
Mathematical tables and non-programmable calculators may be used.
All writing must be in blue or black ink except drawing which must be in pencil.
Cellular phones and any other unauthorized materials are not allowed in the examination room.
Write your Examination Number on every page of your answer booklet(s).
The following information may be useful:
Acceleration due to gravity, g = 9.8 m/s2
The ratio of specific heat capacity, γ = 1.4
1 g of water = 1 cm3
Latent heat of vaporization of water = 2256 Jg-1
Density of water = 103 kg/m3
Pie, π = 3.14.
SECTION A (70 Marks)
Answer all questions from this section.
1. (a) (i) How is the term dimension differ from dimensional formula? (02 marks)
(ii) Apply the method of dimension to deduce the value of x in the expression F = kAρVX , where F, V, A, ρ and k are the force acting on the body, speed, surface area, density and dimensionless constant respectively. (04 marks)
(b) The pressure P can be calculated from the relation, where F is the force and R the radius. If the percentage errors of F and R are ± 2 and ± 1 respectively, determine the possible percentage error of P.(04 marks)
(b) (i) Distinguish between triple point of water and thermometric property as used in heat. (03 marks)
(ii) The resistance Rθ of a particular resistance thermometer at a Celsius temperature θ as measured by a constant volume gas thermometer is given as Rθ = 2.50 x 10 -4 θ2 + 0.1850θ +40.0 . Calculate the temperature as measured on the scale of the resistance thermometer which corresponds to a temperature of 70o C on the gas thermometer. (04 marks)