GCE A level 1326/01-D PHYSICS PH6 Data Analysis Task

Transcription

1 Surname Centre Number Candidate Number Other Names 2 GCE A level 1326/01-D PHYSICS PH6 Data Analysis Task S D FRIDAY, 11 March 2016 Time Allowed 45 minutes For Examiner s use only Maximum Mark Mark Awarded Total D001 ADDITIONAL MATERIALS In addition to this paper you will require a calculator. INSTRUCTIONS TO CANDIDATES Use black ink or black ball-point pen. Write your name, centre number and candidate number in the spaces at the top of the page. Write your answers in the spaces provided in this booklet. INFORMATION FOR CANDIDATES The total number of marks available for this task is 25. The number of marks is given in brackets at the end of each question or part question. You are reminded of the necessity for good English and orderly presentation in your answers. Your attention is drawn to the Mathematical Information on the back page of this paper. JD*(S D)

2 2 An investigation is carried out into the vibrations of a loaded helical spring. The following apparatus is used. Examiner only helical spring clamp and stand mass The period of oscillation, T, of the spring was determined when different masses, m, were added. This was repeated and the results were recorded in the table below. The percentage uncertainty in the masses is ± 5%. This information should be used when calculating the absolute uncertainty of m. Mass, m (kg) ± 5% m (...) Absolute uncertainty m Period, T 1 (s) Period, T 2 (s) Period, T 3 (s) Mean period, T mean (s) Absolute uncertainty T mean (a) Complete the table and include units for m. [5] (Space is left below for calculations if required.)

3 3 m (b) Plot a graph of T mean (on the vertical axis) against (on the horizontal axis). Include error bars on both axes, and draw a line of maximum gradient and a line of minimum gradient. [5] Examiner only D003 Turn over.

4 4 (c) (i) Calculate the maximum and minimum gradients for your graph. [3] Examiner only (ii) Hence, determine the mean gradient and its percentage uncertainty. [2] (d) Theory states that the mean period, T mean is related to m by the equation: where k is the spring constant. T = 2π m k Using your value for the mean gradient, calculated in (c)(ii), determine a value for the spring constant, k and state its value to a suitable number of significant figures along with its percentage uncertainty. [4]

5 5 (e) The value for k obtained in part (d) can be used to determine a value for the acceleration due to gravity, g. Use the information below and the equation mg = kx to determine a value for g, along with its absolute uncertainty. The extension, x, is m for a mass of kg when measured with a ruler of resolution ± m. [6] Examiner only END OF PAPER Turn over.

6 6 BLANK PAGE

7 7 BLANK PAGE Turn over.

8 8 SI multipliers Mathematical Information Multiple Prefix Symbol atto a femto f pico p 10 9 nano n 10 6 micro μ 10 3 milli m 10 2 centi c Multiple Prefix Symbol 10 3 kilo k 10 6 mega M 10 9 giga G tera T peta P exa E zetta Z Areas and Volumes Area of a circle = r 2 d = 2 1 Area of a triangle = base height 4 2 Solid Surface area Volume rectangular block 2 (lh + hb + lb) lbh cylinder 2 r (r + h) r 2 h sphere 4 r 2 4 r 3 3 Trigonometry P R θ Q Logarithms (A2 only) [Unless otherwise specified log can be log e (i.e. ln) or log 10.] log (ab) = log a + log b log a = log a log b b log x n = n log x log e e kx = ln e kx = kx log e 2 = ln 2 = PQ QR PQ sinθ =, cosθ =, tanθ =, sinθ = tanθ PR PR QR cosθ PR 2 = PQ 2 + QR 2 ( )