A wire has a mass 0.3 ± 0.003 g, radius 0.5 ± 0.005 mm and length 0.6 ± 0.006 cm. The maximum percentage error in the measurement of its density is 

(1) 1

(2) 2

(3) 3

(4) 4

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If 97.52 is divided by 2.54, the correct result in terms of significant figures is

(1) 38.4

(2) 38.3937

(3) 38.394

(4) 38.39

Concept Questions :-

Significant Figures
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Assertion :Light year’ and ‘Wavelength’ both measure distance.

Reason : Both have dimensions of time.

  1. If both the assertion and the reason are true and the reason is a correct explanation of the assertion
  2. If both the assertion and reason are true but the reason is not a correct explanation of the assertion
  3. If the assertion is true but the reason is false
  4. If both the assertion and reason are false

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Assertion : Light year and year, both measure time.

Reason : Because light year is the time that light takes to reach the earth from the sun.

  1. If both the assertion and the reason are true and the reason is a correct explanation of the assertion
  2. If both the assertion and reason are true but the reason is not a correct explanation of the assertion
  3. If the assertion is true but the reason is false
  4. If both the assertion and reason are false

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Assertion : Force cannot be added to pressure.

Reason : Because their dimensions are different.

  1. If both the assertion and the reason are true and the reason is a correct explanation of the assertion
  2. If both the assertion and reason are true but the reason is not a correct explanation of the assertion
  3. If the assertion is true but the reason is false
  4. If both the assertion and reason are false
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Assertion : Linear mass density has the dimensions of [M1L-1To].

Reason : Because density is always mass per unit volume.

  1. If both the assertion and the reason are true and the reason is a correct explanation of the assertion
  2. If both the assertion and reason are true but the reason is not a correct explanation of the assertion
  3. If the assertion is true but the reason is false
  4. If both the assertion and reason are false
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Assertion : Rate of flow of a liquid is defined as volume of liquid flowing per second.

Reason : The dimensions of rate of flow are M0L1T-1.

  1. If both the assertion and the reason are true and the reason is a correct explanation of the assertion
  2. If both the assertion and reason are true but the reason is not a correct explanation of the assertion
  3. If the assertion is true but the reason is false
  4. If both the assertion and reason are false

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Assertion : Units of Rydberg constant R are m-1

Reason : It follows from Bohr’s formula v¯=R1n121n22, where the symbols have their usual meaning.

  1. If both the assertion and the reason are true and the reason is a correct explanation of the assertion
  2. If both the assertion and reason are true but the reason is not a correct explanation of the assertion
  3. If the assertion is true but the reason is false
  4. If both the assertion and reason are false

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Assertion : Parallex method cannot be used for measuring distances of stars more than 100 light years away.

Reason : Because parallex angle reduces so much that it cannot be measured accurately.

  1. If both the assertion and the reason are true and the reason is a correct explanation of the assertion
  2. If both the assertion and reason are true but the reason is not a correct explanation of the assertion
  3. If the assertion is true but the reason is false
  4. If both the assertion and reason are false
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Assertion : Number of significant figures in 0.005 is one and that in 0.500 is three.

Reason : This is because zeros are not significant.

  1. If both the assertion and the reason are true and the reason is a correct explanation of the assertion
  2. If both the assertion and reason are true but the reason is not a correct explanation of the assertion
  3. If the assertion is true but the reason is false
  4. If both the assertion and reason are false

Concept Questions :-

Significant Figures
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