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Chapter 21: Problem 2765

If observed reading is OR, corrected reading is CR, zero error in \(\mathrm{ZE}\) and zero correction in \(\mathrm{ZC}\), then what will be the possibility? (A) \(\mathrm{CR}=\mathrm{OR}+\mathrm{ZC}\) and \(\mathrm{ZE}=\mathrm{CR}-\mathrm{OR}\) (B) \(\mathrm{CR}=\mathrm{OR}+\mathrm{ZE}\) and \(\mathrm{ZC}=\mathrm{CR}-\mathrm{OR}\) (C) \(\mathrm{CR}=\mathrm{OR}-\mathrm{ZC}\) and \(\mathrm{ZE}=\mathrm{OR}-\mathrm{CR}\) (D) \(\mathrm{CR}=\mathrm{OR}-\mathrm{ZE}\) and \(\mathrm{ZC}=\mathrm{CR}-\mathrm{OR}\)

Short Answer

Expert verified
The correct possibility is (A) \(CR = OR + ZC\) and \(ZE = CR - OR\).

Step by step solution

01

Option A: Analyzing the Relationships

In this option, the relationships are: - Corrected Reading (CR) = Observed Reading (OR) + Zero Correction (ZC) - Zero Error (ZE) = Corrected Reading (CR) - Observed Reading (OR) It is worth mentioning that zero error (ZE) and zero correction (ZC) are opposites to each other. If there is a positive zero error, the zero correction is negative and vice versa. So, adding zero correction to the observed reading equals the corrected reading. Thus, the first relationship seems correct. The second relationship indicates that the zero error is the difference between the corrected reading and observed reading, which is also true. Hence, this option might be the correct one.
02

Option B: Analyzing the Relationships

In this option, the relationships are: - Corrected Reading (CR) = Observed Reading (OR) + Zero Error (ZE) - Zero Correction (ZC) = Corrected Reading (CR) - Observed Reading (OR) Here, adding zero error (ZE) to the observed reading (OR) is the opposite of what we are looking for since zero correction (ZC) should be added to the observed reading (OR) to determine the corrected reading (CR). The second relationship is not correct either, as it represents the relationship between zero error (ZE) and the reading values (CR, OR).
03

Option C: Analyzing the Relationships

In this option, the relationships are: - Corrected Reading (CR) = Observed Reading (OR) - Zero Correction (ZC) - Zero Error (ZE) = Observed Reading (OR) - Corrected Reading (CR) Option C is also not correct, as subtracting zero correction (ZC) from observed reading (OR) contradicts the correct relationship. Additionally, the second relationship is not correct because it is depicting the incorrect relationship between zero error (ZE) and the reading values (CR, OR).
04

Option D: Analyzing the Relationships

In this option, the relationships are: - Corrected Reading (CR) = Observed Reading (OR) - Zero Error (ZE) - Zero Correction (ZC) = Corrected Reading (CR) - Observed Reading (OR) This option is also incorrect, as it involves subtracting zero error (ZE) from the observed reading (OR) instead of adding zero correction (ZC) to determine the corrected reading (CR). Similarly, the second relationship is incorrect.
05

Conclusion

After analyzing all the given options, the correct possibility is Option A. The relationships correctly represent the connection between observed reading (OR), corrected reading (CR), zero error (ZE), and zero correction (ZC). So, the correct answer is: (A) \(CR = OR + ZC\) and \(ZE = CR - OR\)

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Most popular questions from this chapter

When the zero mark on the vernier scale lies towards the right side of the zero mark of the main scale, when the jaws are in contact, then what will be the zero error? (A) zero correction in positive (B) zero correction is negative (C) zero error in positive (D) zero error does not exist

The edge of a cube is measured using a vernier caliper \((9\) divisions of the main scale is equal to 10 divisions of vernier scale and 1 main scale division is \(1 \mathrm{~mm}\) ). The main scale division reading is 10 and 1 division of vernier scale was found to be coinciding with the main scale. The mass of the cube is \(2.736 \mathrm{~g}\). What will be the density in $\left\\{\mathrm{g} /\left(\mathrm{cm}^{3}\right)\right\\}$ upto correct significant figures? (A) $2.66 \times 10^{-3}\left\\{\mathrm{~g} /\left(\mathrm{cm}^{3}\right)\right\\}$ (B) $2.66 \times 10^{3}\left\\{\mathrm{~g} /\left(\mathrm{cm}^{3}\right)\right\\}$ (C) \(2.66\left\\{\mathrm{~g} /\left(\mathrm{cm}^{3}\right)\right\\}\) (D) $2.66 \times 10^{-6}\left\\{\mathrm{~g} /\left(\mathrm{cm}^{3}\right)\right\\}$

In an unusual vernier, 9 vernier scale divisions coincide with 8 main scale division, then what is the least count of the vernier? (A) \((8 / 9) \mathrm{mm}\) (B) \((1 / 9) \mathrm{mm}\) (C) \((1 / 17) \mathrm{mm}\) (D) \((1 / 8) \mathrm{mm}\)

When the jaws of a standard vernier are together, the \(6^{\text {th }}\) main scale division coincides with the \(7^{\text {th }}\) vernier scale division, then what is the zero error? (A) \(-0.7 \mathrm{~mm}\) (B) \(+0.3 \mathrm{~mm}\) (C) \(-0.3 \mathrm{~mm}\) (D) \(+0.7 \mathrm{~mm}\)

What is the least count of the vernier calipers? (A) Smallest division on the vernier scale. (B) difference of the smallest division on the main scale and the smallest division on the vernier scale. (C) sum of the smallest division on the main scale and the smallest division on the vernier scale. (D) smallest division on the main scale.
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