Units and Measurements-Quiz-3

UNITS AND MEASUREMENTS QUIZ-3

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. 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 η. The time in which the velocity of the body increases from zero to 0.63 times the terminal velocity (v) is called time constant (τ). Dimensionally τ 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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