chapter 02 worksheet
DESCRIPTION
AS Chapter 02 WorksheetTRANSCRIPT
TAYLOR’S COLLEGE SUBANG JAYA
CAMBRIDGE A – LEVEL
PHYSICS
PREPARED BY: PATHMANATHAN NADESON, CAL, TAYLOR’S COLLEGE SUBANG JAYA.
Page 1
QUESTIONS FOR PRACTISE:
CHAPTER 02: MEASUREMENT TECHNIQUES.
DUE ON 5/8/2013 (120 marks)
1. State the readings on the micrometer screw gauge below.
(10 marks)
TAYLOR’S COLLEGE SUBANG JAYA
CAMBRIDGE A – LEVEL
PHYSICS
PREPARED BY: PATHMANATHAN NADESON, CAL, TAYLOR’S COLLEGE SUBANG JAYA.
Page 2
Question 1 taken from website http://www.askmrtan.com/2e/vernier-micrometer-worksheet-with-answers.pdf
. Site accessed on 22/7/2013 at 10.15 am
TAYLOR’S COLLEGE SUBANG JAYA
CAMBRIDGE A – LEVEL
PHYSICS
PREPARED BY: PATHMANATHAN NADESON, CAL, TAYLOR’S COLLEGE SUBANG JAYA.
Page 3
2. The following micrometer screw gauges have their jaws firmly closed.
However, the readings are not exactly zero. Determine the zero error
for each case. (8 marks)
a.
b.
c.
TAYLOR’S COLLEGE SUBANG JAYA
CAMBRIDGE A – LEVEL
PHYSICS
PREPARED BY: PATHMANATHAN NADESON, CAL, TAYLOR’S COLLEGE SUBANG JAYA.
Page 4
d.
3. The following micrometer screw gauges have zero errors in them.
Determine their actual readings. (12 marks)
a.
b.
TAYLOR’S COLLEGE SUBANG JAYA
CAMBRIDGE A – LEVEL
PHYSICS
PREPARED BY: PATHMANATHAN NADESON, CAL, TAYLOR’S COLLEGE SUBANG JAYA.
Page 5
c.
d.
4. Determine the actual readings on these vernier calipers. The calipers
have no zero errors. (10 marks)
a.
TAYLOR’S COLLEGE SUBANG JAYA
CAMBRIDGE A – LEVEL
PHYSICS
PREPARED BY: PATHMANATHAN NADESON, CAL, TAYLOR’S COLLEGE SUBANG JAYA.
Page 6
b.
c.
d.
e.
TAYLOR’S COLLEGE SUBANG JAYA
CAMBRIDGE A – LEVEL
PHYSICS
PREPARED BY: PATHMANATHAN NADESON, CAL, TAYLOR’S COLLEGE SUBANG JAYA.
Page 7
5. The following calipers have their jaws closed firmly. However, the
readings are not exactly zero. Determine the zero error for each case.
(8 marks)
a.
b.
c.
TAYLOR’S COLLEGE SUBANG JAYA
CAMBRIDGE A – LEVEL
PHYSICS
PREPARED BY: PATHMANATHAN NADESON, CAL, TAYLOR’S COLLEGE SUBANG JAYA.
Page 8
d.
6. The following calipers have zero errors as indicated in each case.
Determine the actual reading of each caliper. (12 marks)
a.
b.
c.
TAYLOR’S COLLEGE SUBANG JAYA
CAMBRIDGE A – LEVEL
PHYSICS
PREPARED BY: PATHMANATHAN NADESON, CAL, TAYLOR’S COLLEGE SUBANG JAYA.
Page 9
d.
7. Convert the absolute uncertainties in the following measurements into
percentage uncertainties. Restate each measurement in the form:
��������� �������� ���� � %�����������.
Percentage uncertainties should be stated in 2 s.f.
a. � 1.02 � 0.01� (3 marks)
b. � 20.5 � 0.2�"#$ (3 marks)
c. � 100 � 10%���" (3 marks)
d. & 20.3 � 0.2( (3 marks)
8. Convert the percentage uncertainties in the following measurements
into absolute uncertainties. Restate each measurement in the form:
��������� �������� ���� � �)"*���������������
a. + 1.1, � 10% (3 marks)
b. - 3.55- � 2% (3 marks)
c. � 9.81�"#0 � 0.5% (3 marks)
d. � 20.31% � 1% (3 marks)
Questions 2, 3, 4, 5, and 6 taken from website
http://johanrusli.files.wordpress.com/2013/05/worksheet2verniercalipersmicrometerscrewgauge2.pdf. Site accessed
on 22/7/2013 at 11.00 am
TAYLOR’S COLLEGE SUBANG JAYA
CAMBRIDGE A – LEVEL
PHYSICS
PREPARED BY: PATHMANATHAN NADESON, CAL, TAYLOR’S COLLEGE SUBANG JAYA.
Page 10
9. Calculate the percentage uncertainties for the following terms, given
the measurements of the respective variables.
a. �0 given � 1.00 � 0.01� (3 marks)
b. √& given & 20.5( � 2% (3 marks)
c. 2 (� + �) given � 1.25 � 0.01� and � 2.42 � 0.01�
(4 marks)
10. A student measures and states the mass of a trolley as � 1.001% �1%. The student then releases the trolley down a ramp and measures
the speed of the trolley at the bottom of the ramp as � 2.50 �0.02�"#$.
a. Calculate the best estimate of the kinetic energy of the trolley at the
bottom of the ramp. (Use 78 $0 ��0) (3 marks)
b. What is the percentage uncertainty in the student’s measurement
of the trolley’ speed? (2 marks)
c. Hence, calculate the % uncertainty in the student’s measurement of
the trolley’s kinetic energy. (3 marks)
d. How should the student record the kinetic energy of the trolley?
The student must include the absolute uncertainty in the trolley’s
kinetic energy. (3 marks)
11. The following are results of a particular experiment relating to the
movement of an object:
Initial velocity = 20.3 m s-1 ± 2%
Final velocity = 10.5 m s-1 ± 2%
Time taken for velocity to change = 5.1 ± 0.1 s
a. What is the uncertainty in the change in velocity, ∆�, of the object .
(4 marks)
b. Calculate the measured value of the object’s acceleration. State your
answer with its absolute uncertainty. (5 marks)
TAYLOR’S COLLEGE SUBANG JAYA
CAMBRIDGE A – LEVEL
PHYSICS
PREPARED BY: PATHMANATHAN NADESON, CAL, TAYLOR’S COLLEGE SUBANG JAYA.
Page 11
5. The equation that relates the frequency, : of a simple pendulum with
its length, � is:
: $0; <=> A student uses a string of length � 0.700 � 0.001�.
a. Calculate the value of the best estimate of the frequency.
(1 marks)
b. What is the percentage uncertainty in the frequency of the
pendulum? (3 marks)
c. What is the absolute uncertainty in the frequency of the pendulum?
(2 marks)
TAYLOR’S COLLEGE SUBANG JAYA
CAMBRIDGE A – LEVEL
PHYSICS
PREPARED BY: PATHMANATHAN NADESON, CAL, TAYLOR’S COLLEGE SUBANG JAYA.
Page 12