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Chapter 1: Problem 115

Subtract \(0.2 \mathrm{~J}\) from \(7.36 \mathrm{~J}\) and express the result with correct number of significant figures. (a) \(7.160 \mathrm{~J}\) (b) \(7.016 \mathrm{~J}\) (c) \(7.16 \mathrm{~J}\) (d) \(7.2 \mathrm{~J}\)

Short Answer

Expert verified
The correct answer is (d) \(7.2 \mathrm{~J}\).

Step by step solution

01

Identify the numbers

In this problem, we need to subtract \(0.2 \mathrm{~J}\) from \(7.36 \mathrm{~J}.\)
02

Subtract the numbers

Now, we will perform the subtraction as follows: \[7.36 \mathrm{~J} - 0.2 \mathrm{~J} = 7.16 \mathrm{~J}\]
03

Determine significant figures

For subtraction, the rule for significant figures is that the result should have the same number of decimal places as the number with the least number of decimal places. In this problem, \(7.36 \mathrm{~J}\) has 2 decimal places, and \(0.2 \mathrm{~J}\) has 1 decimal place. Therefore, the result must be expressed with 1 decimal place.
04

Round the result

Now we will round the result to 1 decimal place, as follows: \[7.16 \mathrm{~J} \approx 7.2 \mathrm{~J}\] The correctly rounded answer with the appropriate number of significant figures is: (d) \(7.2 \mathrm{~J}\)

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Most popular questions from this chapter

If \(L\) and \(R\) are represented as the inductance and resistance respectively then the dimensional formula of \(R /\) will be \(\ldots \ldots\) (a) \(\mathrm{M}^{-2} \mathrm{~L}^{1} \mathrm{~T}^{-2} \mathrm{~A}^{1}\) (b) \(\mathrm{M}^{0} \mathrm{~L}^{0} \mathrm{~T}^{-1} \mathrm{~A}^{0}\) (c) \(\mathrm{M}^{1} \mathrm{~L}^{-1} \mathrm{~T}^{0} \mathrm{~A}^{1}\) (d) \(\mathrm{M}^{1} \mathrm{~L}^{3} \mathrm{~T}^{1} \mathrm{~A}^{0}\)

How many significant numbers are there in \((2.30 \pm 4.70) \times 10^{5} ?\) (a) 3 (b) 4 (c) 2 (d) 5

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