IB PHYSICS HL
MULTIPLE CHOICE REVIEW
MEASUREMENT-DATA-VECTORS-GRAPHING
1.
Natalie measures the mass and speed of a glider. The percentage uncertainty in her
measurement of the mass is 3% and in the measurement of the speed is 10%. Her calculated
value of the kinetic energy of the glider will have an uncertainty of
A.
30%.
B.
23%.
C.
13%.
D.
10%.
(1)
2.
A student measures a distance several times. The readings lie between 49.8 cm and 50.2 cm.
This measurement is best recorded as
A.
49.8  0.2 cm.
B.
49.8  0.4 cm.
C.
50.0  0.2 cm.
D.
50.0  0.4 cm.
(1)
3.
The radius of a loop is measured to be (10.0 ± 0.5) cm. Which of the following is the best
estimate of the uncertainty in the calculated area of the loop?
A.
0.25%
B.
5%
C.
10%
D.
25%
(1)
4.
The relationship between two measured quantities P and Q is of the form
P = kQn
where k and n are constants.
A plot of lg P (y-axis) against lg Q (x-axis) will enable the value of k to be determined by
measuring only
A.
the intercept on the lg P axis.
B.
the intercept on the lg Q axis.
C.
the slope of the graph.
D.
the reciprocal of the slope of the graph.
(1)
1
5.
The power dissipated in a resistor of resistance R carrying a current I is equal to I2R. The value
of I has an uncertainty of ±2% and the value of R has an uncertainty of ±10%. The value of the
uncertainty in the calculated power dissipation is
A.
±8%.
B.
±12%.
C.
±14%.
D.
±20%.
(1)
6.
The volume V of a cylinder of height h and radius r is given by the expression
V = πr2h.
In a particular experiment, r is to be determined from measurements of V and h. The
uncertainties in V and in h are as shown below.
V
 7%
h
 3%
The approximate uncertainty in r is
A.
10%.
B.
5%.
C.
4%.
D.
2%.
(1)
7.
The graph below shows how a quantity y varies with time t for a falling object.
y
0
0
t
Which one of the following quantities could be represented by y?
A.
Speed when air resistance is negligible
B.
Speed when air resistance is not negligible
C.
Distance moved from rest when air resistance is negligible
D.
Distance moved from rest when air resistance is not negligible
(1)
2
8.
Quantity x varies with quantity y according to the expression
y = pxn,
where p and n are constants.
Values of lg x (log10 x) are plotted against the corresponding values of lg y as shown below.
1gy
I
0
0
1gx
The intercept on the lg y-axis is I. Which of the following gives the value of lg p?
A.
–I
B.
+I
C.
– lg I
D.
+ lg I
(1)
9.
The sides of a cube are each of length 1.00 m. Each side is measured with an uncertainty of 2.
The absolute uncertainty in the volume of the cube is
A.
0.02 m3.
B.
0.06 m3.
C.
0.2 m3.
D.
0.6 m3.
(1)
3
10.
The period T of oscillation of a mass m attached to the end of a spring is given by
T  2 m , where k is an accurately known constant. The mass is measured as 0.500  0.045
k
kg.
What is the percentage uncertainty in the calculated value of the period?
A.
3.0
B.
4.5
C.
9.0
D.
18
(1)
11.
An object of mass m is hung from a spring. When the object is pulled downwards and then
released, the frequency f of oscillation of the object is given by the expression
1
m
 2π
f
k
where k is a constant.
Which one of the following graphs would produce a straight-line for the variation with mass m
of frequency f?
x-axis
y-axis
A.
m
f
B.
m
1
f
C.
1
m2
1
f
D.
m
f2
(1)
4
12.
The graph below shows the variation with ln P of a quantity x. (ln P is the natural logarithm of
the quantity P.) The magnitude of the gradient of the line is g.
1nP
1nP0
0
0
x
Which one of the following is the correct expression for the variation of P with x?
A.
P = P0 e−gx
B.
P = P0 e+gx
C.
P = P0 + e−gx
D.
P = P0 − e+gx
(1)
13.
The period T of oscillation of a mass m on a spring, having spring constant k is T = 2π
m
.
k
The uncertainty in k is 11% and the uncertainty in m is 5%. The approximate uncertainty in T is
A.
4%.
B.
6%.
C.
8%.
D.
16%.
(1)
5
14.
The volume V of a cylinder of height h and radius r is given by the expression
V = r2h.
In a particular experiment, r is to be determined from measurements of V and h. The
uncertainties in V and in h are as shown below.
V
7
h
3
The approximate uncertainty in r is
A.
10.
B.
5.
C.
4.
D.
2.
(1)
15.
A student moves between two points P and Q as shown below.
point P
x–direction
point Q
y–direction
The displacement from P in the x-direction is dX. The displacement from P in the y-direction is
dY. The resultant displacement from P is dR.
Which of the following diagrams shows the three displacements from point P?
A.
B.
P
P
dR
dY
dX
C.
dR
Q
dY
P
dY
dR
Q
Q
dX
D.
dX
P
dY
dX
dR
Q
6
(1
16.
A student uses a metre rule and a set-square to measure a series of vertical heights, as shown.
set-square
metre rule
height to
be measured
The metre rule is not vertical.
What type of error is reduced by using a set-square and what type of error is caused because the
metre rule is not vertical?
error reduced by use of
set-square
error caused by
non-vertical ruler
A.
random
random
B.
random
systematic
C.
systematic
random
D.
systematic
systematic
(1)
17.
The electrical resistance R of a component varies with temperature T according to the
expression
R = R0ek/T
where R0 and k are constants.
A graph of the variation with
the
1
of lnR is drawn and a straight line is obtained. The intercept on
T
1
axis is equal to
T
A.
–lnR0
B.

C.
lnR0
D.
ln R 0
k
ln R0
k
(1)
7
18.
The length of a rod is measured using part of a metre rule that is graduated in millimetres, as
shown below.
cm
2
3
4
5
6
7
8
9
10
Which one of the following is the measurement, with its uncertainty, of the length of the rod?
A.
5  0.1 cm
B.
5  0.2 cm
C.
5.0  0.1 cm
D.
5.0  0.2 cm
(1)
19.
The mass of a body is measured with an uncertainty of 2.0 and its volume with an uncertainty
of 10. What is the uncertainty in the density of the body?
A.
0.2
B.
5.0
C.
12
D.
20
(1)
20.
An object falls from rest with an acceleration g. The variation with time t of the displacement s
of the object is given by
1
s  gt 2 .
2
The uncertainty in the value of the time is  6 and the uncertainty in the value of g is  4.
The best estimate for the uncertainty of the position of the object is
A.
5.
B.
8.
C.
10.
D.
16.
(1)
8
21.
When a force F of (10.0  0.2) N is applied to a mass m of (2.0  0.1) kg, the percentage
F
is
uncertainty attached to the value of the calculated acceleration
m
A.
2%.
B.
5%.
C.
7%.
D.
10%.
(1)
22.
Which one of the following is a fundamental unit?
A.
Coulomb
B.
Ohm
C.
Volt
D.
Ampere
(1)
23.
The mass of an atom of the isotope strontium-92 (92Sr) is of the order of
A.
10–23 kg.
B.
10–25 kg.
C.
10–27 kg.
D.
10–29 kg.
(1)
9
MARK SCHEME!
1.
B
[1]
2.
C
[1]
3.
C
[1]
4.
A
[1]
5.
C
[1]
6.
B
[1]
7.
B
[1]
8.
B
[1]
9.
B
10
[1]
10.
B
[1]
11.
B
[1]
12.
A
13.
C
[1]
[1]
14.
B
[1]
15.
D
[1]
16.
B
[1]
17.
B
[1]
18.
C
[1]
11
19.
C
[1]
20.
D
[1]
21.
C
[1]
22.
D
[1]
23.
B
[1]
12