You are using a ruler to measure lengths. Assume that you can reasonably measure

Question

You are using a ruler to measure lengths. Assume that you can reasonably measure to one-half of the smallest division. This means you can see if the length of the object is closer to one of the tick marks, half-way between two tick marks, or closer to the following tick mark. (If you can't tell if a measurement is closer to a tick mark or half-way in between, then you can only reasonably measure to the nearest whole of the smallest division). This is your instrumental precision (instrumental uncertainty). If the smallest division on your ruler is 1 mm (= 0.1 cm), what is the numerical value of your instrumental precision (instrumental uncertainty)? a. 1 mm b. 0.1 cm c. 0.05 cm d. 0.05 mm If a rod is exactly three centimeters long, how would you record the length to reflect the precision of the instrument (and therefore, how well you can measure the length)? a 30 mmb. b. 0 cm c. 3.00 cm d. 30.00 cm

Explanation / Answer

1). Since the ruler measure the length in centimeters so numerical value of instrument precision has to be smallest division on it in same units.

Hence correct answer for precision will 0.1cm

Correct Option: b. 0.1cm

2). Since the precision or least count of the ruler is 0.1cm thus correct way of noting down the observation is to have the same number of decimal places in it as in the least count. Thus correct answer of writing the given observation is 3.0cm

   Correct option: b. 3.0cm

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