ACSI 2024 Promo HL Phys P1B

This paper consists of 6 printed pages (including cover page). END-OF-YEAR EXAMINATION 2024 YEAR 5 IB DIPLOMA PROGRAMME PHYSICS (HIGHER LEVEL) PAPER 1B Monday 23 September 2024 2 hours INSTRUCTIONS TO STUDENTS Write your index number in the box above. Do not open this booklet until you are told to do so. Answer all the questions. Answers must be written within the answer boxes provided. The maximum mark for paper 1B is [20 marks]. The maximum mark for paper 1A and paper 1B is [60 marks] The combined time for both Paper 1A and Paper 1B is 2 hours. INFORMATION FOR STUDENTS Data booklet will be provided. Calculators are allowed for this paper. Index Number Name

2 1. In an experiment to determine the period T of oscillation of a mass m revolving in a uniform circular motion, a student held one end of the string and swirled the mass above head as shown. (a) The student recorded the time taken for 20 oscillations with a digital stopwatch, as 20T = 11.50 ± 0.05 s. (i) Explain why it is a good experimental technique to determine the period T of oscillation from the time taken for 20 oscillations rather than from one oscillation. [2] (ii) State the reason why it is unlikely that the uncertainty in the time taken is as precise as ± 0.05 s. Hence, give a better estimate of the uncertainty of the stopwatch. [2]

3 (iii) Based on the data provided, determine the square of the period (T2) and its uncertainty T2. [3] (iv) The student pulls the string with a constant force F of 0.85 ± 0.05 N. The mass m of the object is 200 g ± 0.5%. Given that 𝐹 = 4𝜋2𝐿 𝑚 𝑇2 . Show that the uncertainty in the length L of the string is about 7%. [2] (b) (i) Another student wants to test the equation in (iv) by varying the mass m and then determine the new period T. State the axes the student could plot to get a linear graph. [1]

4 (ii) A data set the student has obtained for the investigation in (b)(i) is shown below. There are 6 repeats of the same measurement of mass m. m (g) 210 195 200 198 205 201 T (s) 2.55 2.45 2.89 2.70 2.65 2.55 Calculate the mean value of m and its associated uncertainty m. [2] 2. A student plans an investigation to determine the acceleration due to gravity g. The student measures the time taken t in seconds, of a ball to roll down an incline plane where  = 15. He also varies the slope displacement x in centimetres. The graph shows the data analysed using Logger Pro. The equation of motion in this investigation is given by 𝑥 = 1 2 𝑎t2, where a is the acceleration of the ball on the incline plane. You may assume that the slope is frictionless. (a) (i) Write down an expression for g in terms of a and sin