## UNITS AND MEASUREMENTS QUIZ - 14

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: The dimensions of rate of flow are [M0 L3 T-1]
Statement 2: Rate of flow is velocity/sec.
•  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

Q2. Statement 1: Avogadro number is not a dimensionless constant.
Statement 2: It is number of atoms is one gram mole.
•  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)
Avogadro number has the unit per gram mole. So, it is not dimensionless.

Q3. Statement 1: Dimensional constants are the quantities whose values are constant
Statement 2: Dimensional constants are dimensionless
•  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)
Dimensional constants are the quantities whose values are constant, and they possess dimensions. For example, the velocity of light in vacuum, universal gravitational constant, Boltzmann constant, Planck’s constant, etc.

Q4. Statement 1: Linear mass density has the dimensions of [M1 L-1 T0
Statement 2: Because density is always mass per unit per volume
•  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)
Density is not always mass per unit volume

Q5. Statement 1: The unit used for measuring nuclear cross-section is barn.
Statement 2: 1 barn = 10-4 m2.
•  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)
Nuclear cross-section is measured in unit barn. but in SI system the value of 1 barn=10-28 m2. Therefore, assertion is true, and reason is false.

Q6. Statement 1: The unit used for measuring nuclear cross-section is barn.
Statement 2: 1 barn = 10-4 m2.
•  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)
Nuclear cross-section is measured in unit barn. but in SI system the value of 1 barn=10-28 m2. Therefore, assertion is true, and reason is false.

Q7.
•  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

Q8. Statement 1: Linear momentum and impulse have same dimensions [M L T-1]
Statement 2: Impulse is equal to final momentum
•  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)
Impulse is equal to change in momentum. Dimensionally both are the same

Q9. Statement 1: â„« (Angstrom) and AU are different units of length
Statement 2: â„« (Angstrom) is a small unit of length while AU is a big unit of 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
(a)
â„« is equal to 10-10m, whereas 1 AU is the distance between Sun and Earth

Q10.

•  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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