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The accuracy in a measurement may depend...

The accuracy in a measurement may depend on several factors like
(I) Personal erroes
(II) Imperfection in technique/procedure
(III) Instrumental errors, Random error
(IV) Resolution of measuring instrument
Which the following is true ?

A

Only IV is correct

B

I, II, IV are correct

C

I, II, III, IV are correct

D

Only II is correct

Text Solution

AI Generated Solution

The correct Answer is:
To determine which factors affect the accuracy of measurements, we will analyze each of the given options step by step. ### Step 1: Understanding Personal Errors - Personal errors are human errors that occur due to the observer's mistakes, such as misreading a scale or having poor eyesight. - **Conclusion**: Personal errors do affect the accuracy of measurements. ### Step 2: Analyzing Imperfection in Technique/Procedure - Imperfections in technique refer to the methods used to take measurements. For example, measuring a pendulum's time period by taking only one oscillation can lead to higher errors compared to taking multiple oscillations and averaging the results. - **Conclusion**: Imperfections in technique/procedure also affect measurement accuracy. ### Step 3: Considering Instrumental Errors and Random Errors - Instrumental errors arise from faults in the measuring instruments, such as a scale that is not calibrated correctly or has been damaged. Random errors can occur due to unpredictable fluctuations in measurements. - **Conclusion**: Both instrumental errors and random errors impact the accuracy of measurements. ### Step 4: Evaluating Resolution of Measuring Instrument - The resolution of a measuring instrument refers to the smallest increment that can be measured. A low-resolution instrument can lead to inaccuracies in measurement. - **Conclusion**: The resolution of the measuring instrument also affects measurement accuracy. ### Final Conclusion Based on the analysis of all four factors: - (I) Personal errors: True - (II) Imperfection in technique/procedure: True - (III) Instrumental errors and Random errors: True - (IV) Resolution of measuring instrument: True Thus, all four factors affect the accuracy of measurements. ### Answer: All the given factors (I, II, III, IV) are true regarding their impact on the accuracy of measurements. ---
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