Question 97: Units , Dimensions and Error Analysis

Question

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) : In Vernier calliper if positive zero error exists, then while taking measurements, the reading taken will be more than the actual reading.
Reason (R) : The zero error in Vernier Calliper might have happened due to manufacturing defect or due to rough handling.
In the light of the above statements, choose the correct answer from the options given below :

Accepted Answer

The provided statements (A) Assertion and (R) Reason have to be analyzed to determine their correctness and also whether Reason (R) correctly explains Assertion (A).
Assertion (A) is addressing a scenario where a positive zero error occurs in a Vernier caliper. Positive zero error refers to the condition when the zero mark on the Vernier scale is to the right of the zero mark on the main scale when the jaws of the caliper are completely closed. In this case, even when measuring a zero length, the Vernier caliper will show a positive reading, indicating an error. This error is constant and will get added to actual measurements, causing the instrument to give readings that are more than the actual measurement. So, Assertion (A) is true.
Reason (R) explains the possible causes of zero error in Vernier calipers. Zero errors can indeed occur due to imperfect manufacturing processes, where the scales are not perfectly aligned. They can also happen due to rough handling, for instance, if the instrument is dropped, which might cause a permanent deformation leading to a continuous zero error. Hence, Reason (R) is true as well.
Finally, we need to analyze whether Reason (R) is the correct explanation of Assertion (A). Although both statements are correct, the Reason (R) does not explain why a positive zero error would lead to the reading being more than the actual reading, it merely states the possible causes of zero errors. Therefore, the correct relationship between the statements is that they are both true, but (R) does not provide the correct explanation for (A).
The correct option is :
Option B
Both (A) and (R) are correct but (R) is not the correct explanation of (A)

Answer

Both (A) and (R) are correct and (R) is the correct explanation of (A)

Answer

Both (A) and (R) are correct but (R) is not the correct explanation of (A)

Answer

(A) is true but (R) is false

Answer

(A) is false but (R) is true

Units , Dimensions and Error Analysis

Choose the correct answer: