## UNITS AND MEASUREMENTS QUIZ-3

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. The dimension of self-induction are
•  M L T-2A-2
•  M L2T-1A-2
•  M L2T-2A-2
•  M L2T-2A-1
Solution
Q2.
•  2.25 mm
•  2.20 mm
•  1.20 mm
•  1.25 mm
Solution
Q3. If force F, acceleration a, and time T are taken as the fundamental physical quantities, the dimensions of length on this system of units are
•  F A T2
•  F A T
•  F T
•  A T2
Solution
(d)
A T2 = L T-2 × T2 = [M0 L T0]

Q4. The heat generated in a circuit is given by Q=I2Rt, where I is current, R is resistance, and t is time. If the percentage errors in measuring I,R, and t are 2%, 1%, and 1%, respectively, then the maximum error in measuring heat will be
•  2%
•  3%
•  4%
•  6%
Solution
(d)
Required error is 2 × 2% + 1% + 1%, i.e., 6%

Q5. A student performs an experiment to determine the Young’s modulus of a wire, exactly 2 m long, by Searle’s method. In a particular reading, the student measures the extension in the length of the wire to be 0.8 mm with an uncertainty of ± 0.05 mm at a load of exactly 1.0 kg. The student also measures the diameter of the wire to be 0.4mm with an uncertainty of ± 0.01 mm. Take g=9.8 ms-2 (exact). The Young’s modulus obtained from the reading is
•  (2.0 ± 0.3) ×1011 Nm-2
•  (2.0 ± 0.2) ×1011 Nm-2
•  (2.0 ± 0.1) ×1011 Nm-2
•  (2.0 ± 0.05) ×1011 Nm-2
Solution

Q6. A spherical body of mass m and radius r is allowed to fall in a medium of viscosity Î·. The time in which the velocity of the body increases from zero to 0.63 times the terminal velocity (v) is called time constant (Ï„). Dimensionally Ï„ can be represented by
•
•
•
•  None Of These
Solution
Q7. Using mass (M), length (L), time (T), and electric current (A) as fundamental quantities, the dimensions of permittivity will be
•  [M L T-1A-1]
•  [M L T-2A-2]
•  [M-1L-3T4A2]
•  [M2L-2T-2A]
Solution

Q8. Out of the following the only pair that does not have identical dimension is
•  Angular momentum and Planck’s constant
•  Moment of inertia and moment of a force
•  Work and torque
•  Impulse and momentum
Solution

Q9. Which of the following groups have different dimensions
•  Potential difference, EMF, voltage
•  Pressure, stress, young’s modulus
•  Heat , energy, work-done
•  Dipole moment, electric flux, electric field
Solution

No Solution

Q10.
•  Resistance
•  Charge
•  Voltage
•  Current
Solution

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