GREGORY UNIVERSITY UTURU
DEPARTMENT OF PHYSICS
HOLIDAY ASSIGNMENT ON ERRORS AND GRAPHICAL ANALYSIS
COURSE TITLE: GENERAL PHYSICS PRACTICAL I
COURSE CODE: PHY 107
1. The following data was obtained by a physics scholar in an experiment carried out in the
physics laboratory.
Height of Rigid Body(h)(x10 -2)(cm) 20.0 32.0 61.0 131.0 140.0
-10
Time for Ten Oscilliations (t) (x10 )(s) 340.0 405.0 430.0 500.0 570.0
2 2
Plot a graph of T h against h and determine the slope and intercept.
4π2 h2 4πk2
Assume T2h and h2 are related thus: T2h = + .
g g
Determine the following: (i) A value for g (ii) Error in g (iii) A value for K.
2(a) Briefly explain the principle of the operation of the micrometer screw gauge
(b)(i) Read the measurement as obtained for the diameter of a wire below.
(ii) Calculate the percentage uncertainty in this measurement.
15
10
2
5
(iii) Calculate the percentage error for the cross sectional area of the wire.
(iv) Give two reasons why it is better to take several readings for the diameter than depend on a
single reading.
3(a) Transform the following equations into linear form and determine their theoretical slope and
intercept.
m+m0
(i) T = 2π√ (ii) Y = axn (iii) Y = ae-∝n
Lg
(b) The general form of an exponential curve is Y = Ce-kx
(i) Write down the value of Y when the values of X are infinite and Zero respectively.
(ii) Use a graph to explain your answer in b(i) above.
4. If a couple mgr is applied at the end of a wire, the angle of twist ∝ at a distance L is given by
Ta5 ∝
mgr =
2l
{∝ = 0.200±0.009rad; m = 3.500kg; l = 0.330±0.002m; a = 0.0047±0.0001m;
r = 0.074±0.001m; g = 9.780ms-2.} Assume that the errors in m and g are negligible
Calculate (i) the value of the tension T
(ii) the standard error in T
(iii) How would you express the tension T?
DEPARTMENT OF PHYSICS
HOLIDAY ASSIGNMENT ON ERRORS AND GRAPHICAL ANALYSIS
COURSE TITLE: GENERAL PHYSICS PRACTICAL I
COURSE CODE: PHY 107
1. The following data was obtained by a physics scholar in an experiment carried out in the
physics laboratory.
Height of Rigid Body(h)(x10 -2)(cm) 20.0 32.0 61.0 131.0 140.0
-10
Time for Ten Oscilliations (t) (x10 )(s) 340.0 405.0 430.0 500.0 570.0
2 2
Plot a graph of T h against h and determine the slope and intercept.
4π2 h2 4πk2
Assume T2h and h2 are related thus: T2h = + .
g g
Determine the following: (i) A value for g (ii) Error in g (iii) A value for K.
2(a) Briefly explain the principle of the operation of the micrometer screw gauge
(b)(i) Read the measurement as obtained for the diameter of a wire below.
(ii) Calculate the percentage uncertainty in this measurement.
15
10
2
5
(iii) Calculate the percentage error for the cross sectional area of the wire.
(iv) Give two reasons why it is better to take several readings for the diameter than depend on a
single reading.
3(a) Transform the following equations into linear form and determine their theoretical slope and
intercept.
m+m0
(i) T = 2π√ (ii) Y = axn (iii) Y = ae-∝n
Lg
(b) The general form of an exponential curve is Y = Ce-kx
(i) Write down the value of Y when the values of X are infinite and Zero respectively.
(ii) Use a graph to explain your answer in b(i) above.
4. If a couple mgr is applied at the end of a wire, the angle of twist ∝ at a distance L is given by
Ta5 ∝
mgr =
2l
{∝ = 0.200±0.009rad; m = 3.500kg; l = 0.330±0.002m; a = 0.0047±0.0001m;
r = 0.074±0.001m; g = 9.780ms-2.} Assume that the errors in m and g are negligible
Calculate (i) the value of the tension T
(ii) the standard error in T
(iii) How would you express the tension T?
