## UNITS AND MEASUREMENTS QUIZ - 13

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: If error in measurement of distance and time are 3% and 2% respectively, error in calculation of velocity is 5%.
Statement 2: Velocity = Distance / Time
•  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: Impulse has the dimensions of force.
Statement 2: Impulse = force × time.
•  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)
Impulse = Force × time
∴ Impulse has no dimension of force

Q3. Statement 1: The graph between P and Q is straight line, when P/Q is constant
Statement 2: The straight-line graph means that P proportional to Q or P is equal to constant multiplied by Q
•  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)
According to statement of reason, as the graph is a straight line, P ∝ Q, or P = constant × Q i.e. P/Q = constant

Q4.
•  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

Q5. Statement 1: A.U. is much bigger than â„«
Statement 2: A.U. stands for astronomical unit and â„« stands from Angstrom
•  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)
A.U. (Astronomical unit) is used to measure the average distance of the centre of the sun from the centre of the earth, while angstrom is used for very short distances. 1 A.U. = 1.5 × 10-11 m ; 1â„« = 10-10 m
Q6.
•  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
No Solution

Q7. Statement 1: In y = A sin⁡( Ï‰t - kx ), ( Ï‰t - kx ) is dimensionless
Statement 2: Because dimension of Ï‰=[M0 L0 T]
•  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 Ï‰ (angular velocity) has the dimension of [T-1] not [T]

Q8. Statement 1: AU is much bigger than Ã….
Statement 2: 1 AU = 1.5 × 1011 m and 1 Ã… = 10-10 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

Q9.
•  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

Q10. Statement 1: Mass, length and time are fundamental physical quantities
Statement 2: They are independent of each other

•  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 length, mass and time represent our basic scientific notations, therefore they are called fundamental quantities and they cannot be obtained from each other

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