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Given the following measured quantities:

Given the following measured quantities:

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**Given the following measured quantities:** - \( t = (0.025 \pm 0.002) \, \text{s} \) - \( L = (153 \pm 1) \, \text{cm} \) - \( d = (10.85 \pm 0.09) \, \text{m} \) - \( m = (3.4 \pm 0.1) \, \text{kg} \) **Which of the above quantities would be the most precise?** - \( \circ \) \( t \) - \( \circ \) \( L \) - \( \circ \) \( m \) - \( \circ \) \( d \) --- **Explanation of Precision:** Precision is determined by the relative uncertainty in the measurements. The relative uncertainty can be calculated as the uncertainty divided by the measured value. The smaller the relative uncertainty, the more precise the measurement is. Evaluate the given quantities based on their relative uncertainties to determine which is the most precise.
Transcribed Image Text:**Given the following measured quantities:** - \( t = (0.025 \pm 0.002) \, \text{s} \) - \( L = (153 \pm 1) \, \text{cm} \) - \( d = (10.85 \pm 0.09) \, \text{m} \) - \( m = (3.4 \pm 0.1) \, \text{kg} \) **Which of the above quantities would be the most precise?** - \( \circ \) \( t \) - \( \circ \) \( L \) - \( \circ \) \( m \) - \( \circ \) \( d \) --- **Explanation of Precision:** Precision is determined by the relative uncertainty in the measurements. The relative uncertainty can be calculated as the uncertainty divided by the measured value. The smaller the relative uncertainty, the more precise the measurement is. Evaluate the given quantities based on their relative uncertainties to determine which is the most precise.
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