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Question

Assertion (A): The accuracy of a standard screw gauge is more than the accuracy of a standard vernier caliper.

Reason (R): The least count of standard screw gauge is more than the least count of standard vernier caliper.


A

A and R are true and R is the correct explanation of A.

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B

A and R are true, but R is not the correct explanation of A.

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C

A is true but R is false.

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D

Both A and R are false.

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Solution

The correct option is C

A is true but R is false.


The explanation for the correct assertion

We know,

The least count for the screw gauge = 0.01 mm

The least count for the vernier caliper = 0.1 mm

So, L.CSG<LCvc

Or, we can say that AccuracySG>Accuracyvc

So the accuracy of the screw gauge is more than the accuracy of the vernier caliper.

The explanation for the incorrect reason statement

The least count for the screw gauge = 0.01 mm

The least count for the vernier caliper = 0.1 mm

So, the least count of the screw gauge is less than the least count of the vernier caliper.

Hence the correct option is (C) A is true but R is false.


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