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UNITS AND MEASUREMENTS QUIZ - 12

Dear Readers,

JEE Advanced paper is considered to be one of the toughest entrance exams in India. Moreover, this Physics is considered the toughest subject because it is the most application-based. The student needs to get the basics right and then move on to mastering advanced concepts. Units and Measurements consist of nearly about 3-4 % of marks in the Physics section.

Q1. Statement 1: Force cannot be added to pressure
       Statement 2: Because their dimensions are different
  •  Statement 1 is True, Statement 2 is True; Statement 2 is the correct explanation for Statement 1
  •  Statement 1 is True, Statement 2 is True; Statement 2 is not the correct explanation for Statement 1
  •  Statement 1 is True, Statement 2 is False
  •  Statement 1 is False, Statement 2 is True
Solution
(a)
Addition and subtraction can be done between quantities having same dimensions


Q2. Statement 1: Parallax method cannot be used for measuring distances of stars more than 100 light years away 
       Statement 2: Because parallax angle reduces so much that it cannot be measured accurately
  •  Statement 1 is True, Statement 2 is True; Statement 2 is the correct explanation for Statement 1
  •  Statement 1 is True, Statement 2 is True; Statement 2 is not the correct explanation for Statement 1
  •  Statement 1 is True, Statement 2 is False
  •  Statement 1 is False, Statement 2 is True
Solution
(a)
As the distance of star increases, the parallax angle decreases, and great degree of accuracy is required for its measurement. Keeping in view the practical limitation in measuring the parallax angle, the maximum distance a star we can measure is limited to 100 light year


Q3. Statement 1: Mass, length, and time are fundamental quantities
       Statement 2: Mass, length, and time are independent of one another
  •  Statement 1 is True, Statement 2 is True; Statement 2 is the correct explanation for Statement 1
  •  Statement 1 is True, Statement 2 is True; Statement 2 is not the correct explanation for Statement 1
  •  Statement 1 is True, Statement 2 is False
  •  Statement 1 is False, Statement 2 is True
Solution
(a)
Fundamental quantity is that quantity which does not depend upon other quantities. Since mass, length and time are independent of one another, so they are fundamental quantities

Q4. Statement 1: Out of three measurements, l=0.7 m; l=0.70 m and l=0.700 m, the last one is most accurate
       Statement 2: In every measurement, only the last significant digit is not accurately known
  •  Statement 1 is True, Statement 2 is True; Statement 2 is the correct explanation for Statement 1
  •  Statement 1 is True, Statement 2 is True; Statement 2 is not the correct explanation for Statement 1
  •  Statement 1 is True, Statement 2 is False
  •  Statement 1 is False, Statement 2 is True
Solution
(b)
The last number is most accurate because it has greatest significant figure (3)


Q5. Statement 1: The size of the nucleus of an atom is not very small
       Statement 2: One Fermi is equal to 10-12 m.
  •  Statement 1 is True, Statement 2 is True; Statement 2 is the correct explanation for Statement 1
  •  Statement 1 is True, Statement 2 is True; Statement 2 is not the correct explanation for Statement 1
  •  Statement 1 is True, Statement 2 is False
  •  Statement 1 is False, Statement 2 is True
Solution
(d)
The radius of the nucleus of an atom is of the order of 1 fermi. 
1 fermi = 10-15 m(small unit)

Q6. Statement 1: Surface tension and surface energy have the same dimensions
       Statement 2: Because both have the same S.I unit
  •  Statement 1 is True, Statement 2 is True; Statement 2 is the correct explanation for Statement 1
  •  Statement 1 is True, Statement 2 is True; Statement 2 is not the correct explanation for Statement 1
  • Statement 1 is True, Statement 2 is False
  •  Statement 1 is False, Statement 2 is True
Solution
(c)
As surface tension and surface energy both have different S.I. unit and same dimensional formula


Q7. Statement 1: Now a days a standard metre is defined in terms of the wavelength of light
       Statement 2: Light has no relation with length
  •  Statement 1 is True, Statement 2 is True; Statement 2 is the correct explanation for Statement 1
  •  Statement 1 is True, Statement 2 is True; Statement 2 is not the correct explanation for Statement 1
  •  Statement 1 is True, Statement 2 is False
  •  Statement 1 is False, Statement 2 is True
Solution
(c)
Because representation of standard metre in terms of wavelength of light is most accurate


Q8. Statement 1: The light year and wavelength consist of dimensions of length.
       Statement 2: Both light year and wavelength represent distances.
  •  Statement 1 is True, Statement 2 is True; Statement 2 is the correct explanation for Statement 1
  •  Statement 1 is True, Statement 2 is True; Statement 2 is not the correct explanation for Statement 1
  •  Statement 1 is True, Statement 2 is False
  •  Statement 1 is False, Statement 2 is True
Solution
(a)
Light year is distance travelled by light in vacuum in 1 year.
1 light year = 9.45 × 1015 m
The wavelength is the distance between two consecutive crests or through of a wave.
The dimension of both light year and wavelength is [M˚LT˚]. So, both represent distances.


Q9. Statement 1: The number of significant figures in 0.001 is 1, while in 0.100 it is 3
       Statement 2: Zeros before a non-zero significant digit are not counted while zeros after a non-zero significant digit are counted
  •  Statement 1 is True, Statement 2 is True; Statement 2 is the correct explanation for Statement 1
  •  Statement 1 is True, Statement 2 is True; Statement 2 is not the correct explanation for Statement 1
  •  Statement 1 is True, Statement 2 is False
  •  Statement 1 is False, Statement 2 is True
Solution
(a) Zeros before a non-zero significant digit are not counted, while zeros after a non-zero significant digit are counted

Q10. Statement 1: The time period of a pendulum is given by the formula, T=2π√(g/l)
         Statement 2: According to the principle of homogeneity of dimensions, only that formula is correct in which the dimensions of L.H.S. is equal to dimensions of R.H.S

  •  Statement 1 is True, Statement 2 is True; Statement 2 is the correct explanation for Statement 1
  •  Statement 1 is True, Statement 2 is True; Statement 2 is not the correct explanation for Statement 1
  •  Statement 1 is True, Statement 2 is False
  •  Statement 1 is False, Statement 2 is True
Solution

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