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Question
question 4 (4 points)
(01.02 mc)
examine the two thermometers
image of thermometer a and b: a has markings 40°, 41°, 42° with smaller divisions; b has 40°, 45°, 50° with smaller divisions
which statement explains which thermometer is more appropriate to measure the temperature of a liquid at 41.4 °c?
○ a thermometer a, because it measures accurately to the tenths digit
○ b thermometer b, because it measures accurately to the tenths digit
○ c thermometer a, because it estimates temperature to the tenths digit
○ d thermometer b, because it estimates temperature to the tenths digit
question 5 (4 points)
(01.02 lc)
how many significant figures are in the following number: 57,030 joules?
○ a 2
○ b 3
○ c 4
○ d 5
Question 4
- Analyze Thermometer A: The scale between 40° - 41°, 41° - 42° has 10 divisions (since from 40 to 41 is 10 small marks, so each mark is 0.1°). So it can estimate to the tenths place (e.g., 41.4° can be measured as the fourth mark above 41°, so it estimates to tenths digit).
- Analyze Thermometer B: The scale between 40° - 45° has 5 divisions (from 40 to 45 is 5 marks, so each mark is 1°). So it can only measure to whole numbers, not tenths.
- Evaluate options:
- Option a: Says "measures accurately" but thermometer A estimates (since it's reading between marks), so wrong.
- Option b: Thermometer B can't measure to tenths, wrong.
- Option c: Thermometer A estimates to tenths digit (since each small mark is 0.1°), correct.
- Option d: Thermometer B can't estimate to tenths, wrong.
Step1: Recall significant figure rules
Significant figures: Non - zero digits are significant. Zeros between non - zero digits are significant. Trailing zeros in a number without a decimal are ambiguous, but in 57,030, the zero between 7 and 3 is significant, and the trailing zero may be non - significant (if it's just a placeholder). Let's break down 57,030:
- 5 is significant, 7 is significant, 0 (between 7 and 3) is significant, 3 is significant, the trailing 0 is a placeholder (not significant as there's no decimal).
Step2: Count significant figures
So we have 5, 7, 0, 3. That's 4 significant figures.
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c. Thermometer A, because it estimates temperature to the tenths digit