TS EAMCET · Physics · Mathematics in Physics
Identify the incorrect statement among the following.
- A A true length of \(5.678 \mathrm{~km}\) has been measured in two experiments as \(5.5 \mathrm{~km}\) and \(5.51 \mathrm{~km}\), respectively. The second measurement has more precision.
- B Length of \(1 \mathrm{~m}\) and \(0.5 \mathrm{~m}\) have been both measured with the same absolute error of \(0.01 \mathrm{~m}\). Both the measurement are equally accurate.
- C The numbers of significant digits in 1.6 and 0.60 are two and three respectively.
- D The number 2.445 can be rounded to two decimal place as 2.45 .
Answer & Solution
Correct Answer
(A) A true length of \(5.678 \mathrm{~km}\) has been measured in two experiments as \(5.5 \mathrm{~km}\) and \(5.51 \mathrm{~km}\), respectively. The second measurement has more precision.
Step-by-step Solution
Detailed explanation
In statement (b), the percentage error in case of \(1 \mathrm{~m}\) length is \(\frac{\Delta l_1}{l_1} \times 100=\frac{0.01}{1} \times 100=1 \%\) while in case of \(0.5 \mathrm{~m}\) length, it is \(\frac{\Delta l_2}{l_2} \times 100=\frac{0.01}{0.5} \times 100=2 \%\) As…
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