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# Four students measure a time interval that is known to be $1.734s$. The measurement recorded by each student is shown. Which measurement is the most accurate?$\left( A \right) 1s$$\left( B \right) 1.7s$$\left( C \right) 1.83s$$\left( D \right) 1.604s$

Last updated date: 13th Jun 2024
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Hint: The measure of the closeness of the measured value to the true value is called accuracy. The preceding digit is unchanged if the immediate digit is less than five. The preceding number raised by one of the immediate digits is greater than five. Now by using the above statement we can find the most accurate number. The smaller the uncertainty in the measured value greater is the accuracy.

Accuracy depends on the resolution of an instrument. Measurement will be accurate if we use a precise instrument. For example, let us consider the length of the rod to $1.58cm$. The first instrument measures $1.5cm$. Another instrument measures it as $1.45cm$. Now by comparing the two we can say the first value $1.5cm$ is the more accurate value.
In the same way here the time interval is given as $1.734s$.
From the given options the most accurate value is $1.7s$ because it is the closest to the true value.