Units and Measurements-Quiz-9

UNITS AND MEASUREMENTS QUIZ-9

Dear Readers,

JEE Advanced Physics Syllabus can be referred by the IIT aspirants to get a detailed list of all topics that are important in cracking the entrance examination. JEE Advanced syllabus for Physics has been designed in such a way that it offers very practical and application-based learning to further make it easier for students to understand every concept or topic by correlating it with day-to-day experiences. In comparison to the other two subjects, the syllabus of JEE Advanced for physics is developed in such a way so as to test the deep understanding and application of concepts.

Q1. 

•  E_I = 0
•  E_I is minimum
•  E_I = E_II
•  E_II is maximum

Solution

Q2. The dimensions of ε_o μ_o are

•  [L T^-1]
•  [L T^-2]
•  [L² T^-2]
•  [L^-2 T²]

Solution

Q3. A liquid drop of density ρ, radius r, and surface tension σ oscillates with time-period T. Which of the following expression for T² is correct?

•  (ρ r³)/σ
•  ρ σ/r³
•  r³ σ/ρ
•  None of these

Solution

Q4. If E,M,J, and G, respectively, denote energy, mass, angular momentum, and gravitational constant, then E J²/M⁵ G² has the dimensions of

•  Time
•  Angle
•  Mass
•  Length

Solution

Q5. The dimensional representation of Planck’s constant is identical to that of

•  Torque
•  Work
•  Stress
•  Angular momentum

Solution

Q6. Which of the following is not measured in units of energy?

•  Couple × angle turned through
•  Moment of inertia × (angular velocity)²
•  Force × distance
•  Impulse × time

Solution

Q7. The internal and external diameters of a hollow cylinder are measured with the help of a vernier callipers. Their values are 4.23 ± 0.01 cm, respectively. The thickness of the wall of the cylinder is

•  0.36 ± 0.02 cm
•  0.18 ± 0.02 cm
•  0.36 ± 0.01 cm
•  0.18 ± 0.01 cm

Solution

(b)
Subtract 3.87 from 4.23 and then divide by 2

Q8. The mass of a body is 20.000 g and its volume is 10.00 cm³. If the measured values are expressed to the correct significant figures, the maximum error in the value of density is

•  0.001 g cm^-3
•  0.010 g cm^-3
•  0.100 g cm^-3
•  None of these

Solution

Q9. The density of a solid ball is to be determined in an experiment. The diameter of the ball is measured with a screw gauge, whose pitch is 0.5 mm and there are 50 divisions on the circular scale. The reading on the main scale is 2.5 mm and that on the circular scale is 20 divisions. If the measured mass of the ball has a relative error of 2 %, the relative percentage error in the density is

•  0.9 %
•  2.4 %
•  3.1 %
•  4.2 %

Solution

Q10. The moment of inertia of a body rotating about a given axis is 12.0 kg m² in the SI system. What is the value of the moment of inertia in a system of units in which the unit of length is 5 cm and the unit of mass is 10 g?

•  2.4 x 10³
•  6.0 x 10³
•  5.4 x 10⁵
•  4.8 x 10⁵

Solution