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Colour Difference Formulae Questions and Answers

61.

Match each signed difference with its interpretation.
List I
A. Positive Delta L star
B. Negative Delta a star
C. Positive Delta b star
D. Negative Delta C star
List II
1. the batch is yellower than the standard
2. the batch is lighter than the standard
3. the batch is duller than the standard
4. the batch is greener than the standard

Answer: A

The signs indicate the direction of correction required in the recipe. Consistency in the subtraction convention is essential to avoid reversing them. Signs indicate the direction of correction. Consistency avoids reversing the correction.

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62.

Assertion (A): The subtraction convention must be stated when reporting signed differences.
Reason (R): Reversing it changes the sign of every component reported.

Answer: B

Both are true and the reason gives the risk, and batch minus standard is the usual convention. A reversed sign sends the correction in the wrong direction. The convention must be stated explicitly. A sign error sends production the wrong way.

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Answer: C

Texture affects both the instrumental reading and the visual impression. Parametric factors and careful sample presentation both address it. Texture affects instrument and eye alike. Presentation is standardised for that reason.

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64.

Consider the following statements about textured samples.
1. Texture affects both the measured and the perceived colour.
2. Consistent sample presentation reduces the resulting variation.
3. Texture has no influence on an instrumental measurement.

Answer: D

Correct answer: 1 and 2 only

Statements 1 and 2 are correct: a textured surface scatters differently depending on how it is presented, which alters both the reading and the appearance. Statement 3 is the opposite of the truth - texture is precisely why sample presentation must be standardised, with the number of layers, the orientation and the aperture all specified.

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Answer: A

A translucent single layer would let the backing influence the reading. Standard practice specifies the number of layers for each fabric type. A translucent sample lets the backing show through. Layer count is specified by fabric type.

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66.

Assertion (A): The number of fabric layers must be specified in a measurement procedure.
Reason (R): A translucent sample allows the backing to affect the reading measurably.

Answer: B

Correct answer: Both A and R are true, and R is the correct explanation of A

Both are true and the reason gives the mechanism. Light passes through a single layer of most fabrics, so some of what the instrument reads is the backing rather than the sample. Folding to a stated number of layers - usually until adding another changes nothing - makes the reading independent of what lies behind.

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Answer: C

Reproducibility by contrast concerns agreement across instruments or laboratories. Both are quoted in the specification of a measuring instrument. Each answers a different reliability question. All are quoted in an instrument specification.

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68.

Match each measure of measurement quality with its meaning.
List I
A. Repeatability
B. Reproducibility
C. Inter-instrument agreement
D. Accuracy
List II
1. one sample measured on several units
2. successive readings on one instrument
3. agreement with an accepted reference value
4. readings across instruments or laboratories

Answer: D

Each answers a different question about the reliability of a number. An instrument may be repeatable without being accurate at all. Consistency and correctness are separate matters. A systematic offset leaves repeatability untouched.

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69.

Assertion (A): An instrument can be highly repeatable and yet inaccurate.
Reason (R): Repeatability concerns consistency while accuracy concerns agreement with the truth.

Answer: A

Correct answer: Both A and R are true, and R is the correct explanation of A

Both are true and the reason gives the mechanism. Repeatability measures the spread of successive readings of the same sample; accuracy measures agreement with the true value. An instrument with a systematic offset reproduces that offset faithfully every time, so it is precise and wrong - which is why calibration against a standard is a separate exercise from checking repeatability.

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Answer: B

Correct answer: small absolute measurement errors produce large lightness differences

\( L^* \) is a cube root function of the luminance factor, so its slope is steepest near black. A small absolute error in reflectance at the dark end therefore produces a disproportionate change in lightness, and dark shades are correspondingly harder to control - a fact reflected in the wider tolerances usually agreed for them.

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