Reference no: EM13515337

Question 1
How should you quote the following measured value and associated error in the form xbest ± Δx?
Value 1024563, error 123

(a.)1024560 ±120
(b)1024563 ±123
(c)1024563 ±120
(d)1024600 ±100

Question 2
Using the values below and the rules for treating errors in formulae calculate the error of z:
z=4a

Values:
a = 5 ± 1
b = 18 ± 2
c = 12 ± 1
t = 3.0 ± 0.5
m = 18 ± 1

Question 3
How should you quote the following measured value and associated error in the form xbest ± Δx?

Value 473, error 79


A. 470 ± 80
B. 473 ± 79
C. 500 ± 100
D. 473 ± 80

Question 4
Using the values below and the rules for treating errors in formulae calculate the error of z:
z=act

Values:
a = 5 ± 1
b = 18 ± 2
c = 10 ± 1
t = 2.0 ± 0.4

m = 18 ± 1

Question 5
How should you quote the following measured value and associated error in the form xbest ± Δx?

Value 0.0000234235, error 0.0000014

(a.) 0.0000234 ± 0.0000014
(b.) 0.00002342 ± 0.0000014
(c.) 0.000023 ± 0.000001
(d.) 0.0000234235 ± 0.0000014

Question 6


Using the values below and the rules for treating errors in formulae calculate the error of z:

z=2a+b-c

Values:

a = 5 ± 1

b = 18 ± 2

c = 12 ± 1

t = 3.0 ± 0.5

m = 18 ± 1



Question 7


Using the values below and the rules for treating errors in formulae calculate the error of z:

z=a^2

Values:

a = 5 ± 1

b = 18 ± 2

c = 12 ± 1

t = 3.0 ± 0.5

m = 18 ± 1


Question 8


How should you quote the following measured value and associated error in the form xbest ± Δx?

Value 5.6754x103, error 212



(5.68±0.212)x103


(5.675±0.212)x103


(5.7±0.2)x103


(5.68±0.21)x103


Question 9


Using the values below and the rules for treating errors in formulae calculate the error of z:

z=a+b+c

Values:

a = 5 ± 1

b = 18 ± 2

c = 12 ± 2

t = 3.0 ± 0.5

m = 18 ± 1



Question 10


Using the values below and the rules for treating errors in formulae calculate the error of z:

z=b/2

Values:

a = 5 ± 1

b = 18 ± 2

c = 12 ± 1

t = 3.0 ± 0.5

m = 18 ± 1



Question 11


If the carpenter discussed in the lecture guess by simply looking at the door frame that it is 210cm high, but admits that this estimate may not be correct, and it could be as large as 220cm or as small as 200cm express this 'measurement' in the form xbest ± Δx.

a.
220 ± 20 cm

b.
200 ± 20 cm

c.
220 ± 10 cm

d.
210 ± 10 cm


Question 12


How should you quote the following measured value and associated error in the form xbest ± Δx?

Value 5.7x10-2, error 7x10-3


5.7x10-2 ±7x10-3


5.7x10-2 ±0.7x10-2


57x10-3 ±0.7x10-2


5.7x10-2 ±7x10-2


Question 13


If the product of a chemical reaction is weighed four times and the results are 2.3 kg, 2.4 kg, 2.5 kg, 2.4 kg write the result of this measurement in the form xbest ± Δx.


a.
2.4 ± 0.1 kg

b.
2.2 ± 0.2 kg

c.
2.5 ± 0.1 kg

d.
2.3 ± 0.1 kg


Question 14


A student measures the density of a liquid five time and gets the results (all in gm/cm3), 1.8, 2.0, 2.0 and 1.8. What would you suggest as the best estimate and uncertainty bases on his measurements?


a.
1.8±0.2

b.
2.0

c.
2±0.1

d.
1.9±0.1


Question 15


How should you quote the following measured values and associated errors in the form xbest ± Δx?

Value 12, error 7


12 ± 7


12 ± 10


10 ± 7


10 ± 10