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Units and Measurements

35 questions · Physics · JEE Advanced
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Units and Measurements

35 questions · Physics · JEE Advanced

  1. Figure 1 shows the configuration of main scale and Vernier scale before measurement. Fig. 2 shows the configuration corresponding to the measurement of diameter D of a tube. The measured value of D is: Includes diagram2025 · Shift 1 · Q36 · MCQ
  2. Length, breadth and thickness of a strip having a uniform cross section are measured to be 10.5 cm, 0.05 mm, and 6.0 μm, respectively. Which of the following option(s) give(s) the volume of the strip in cm3 with correct significant figures:2025 · Shift 1 · Q38 · Multiple correct
  3. A temperature difference can generate e.m.f. in some materials. Let S be the e.m.f. produced per unit temperature difference between the ends of a wire, σ the electrical conductivity and κ the thermal conductivity of the material of the…2025 · Shift 2 · Q33 · MCQ
  4. A dimensionless quantity is constructed in terms of electronic charge e, permittivity of free space ε0​, Planck's constant h, and speed of light c. If the dimensionless quantity is written as eαε0​βhγcδ…2024 · Shift 1 · Q35 · MCQ
  5. The dimensions of a cone are measured using a scale with a least count of 2 mm. The diameter of the base and the height are both measured to be 20.0 cm. The maximum percentage error in the determination of the…2024 · Shift 2 · Q42 · Numerical
  6. In an experiment for determination of the focal length of a thin convex lens, the distance of the object from the lens is 10±0.1 cm and the distance of its real image from the lens is 20±0.2 cm. The error in…2023 · Shift 1 · Q44 · Numerical
  7. Young's modulus of elasticity Y is expressed in terms of three derived quantities, namely, the gravitational constant G, Planck's constant h and the speed of light c, as Y=cαhβGγ. Which of the following is the…2023 · Shift 2 · Q36 · MCQ
  8. In a particular system of units, a physical quantity can be expressed in terms of the electric charge e, electron mass me​, Planck's constant h, and Coulomb's constant k=4πϵ0​1​, where ϵ0​ is the…2022 · Shift 2 · Q40 · Numerical
  9. Area of the cross-section of a wire is measured using a screw gauge. The pitch of the main scale is 0.5 mm. The circular scale has 100 divisions and for one full rotation of the circular scale, the main scale shifts by two… Includes table2022 · Shift 2 · Q53 · MCQ
  10. The smallest division on the main scale of a Vernier calipers is 0.1 cm. Ten divisions of the Vernier scale correspond to nine divisions of the main scale. The figure below on the left shows the reading of this calipers with no gap between… Includes diagram2021 · Shift 1 · Q39 · MCQ
  11. A physical quantity S is defined as S=(E×B)/μ0​, where E is electric field, B is magnetic field and μ 0 is the…2021 · Shift 2 · Q42 · Multiple correct
  12. Sometimes it is convenient to construct a system of units so that all quantities can be expressed in terms of only one physical quantity. In one such system, dimensions of different quantities are given in terms of a quantity X as follows:…2020 · Shift 1 · Q48 · Multiple correct
  13. Let us consider a system of units in which mass and angular momentum are dimensionless. If length has dimension of L, which of the following statement(s) is/are correct?2019 · Shift 1 · Q48 · Multiple correct
  14. An optical bench has 1.5 m long scale having four equal divisions in each cm. While measuring the focal length of a convex lens, the lens is kept at 75 cm mark of the scale and the object pin is kept at 45 cm mark. The image of the object…2019 · Shift 2 · Q48 · Numerical
  15. If the measurement errors in all the independent quantities are known, then it is possible to determine the error in any dependent quantity. This is done by the use of series expansion and truncating the expansion at the first power of the…2018 · Shift 1 · Q51 · MCQ
  16. If the measurement errors in all the independent quantities are known, then it is possible to determine the error in any dependent quantity. This is done by the use of series expansion and truncating the expansion at the first power of the…2018 · Shift 1 · Q52 · MCQ
  17. A steel wire of diameter 0.5mm and Young's modulus 2×1011Nm−2 carries a load of mass M. The length of the wire with the load is 1.0m.A vernier scale with 10 divisions is attached to the end of this wire.…2018 · Shift 2 · Q46 · Numerical
  18. A person measures the depth of a well by measuring the time interval between dropping a stone and receiving the sound of impact with the bottom of the well. The error in his measurement of time is δT=0.01 seconds and he measures…2017 · Shift 2 · Q41 · MCQ
  19. A length-scale (l) depends on the permittivity (ε) of a dielectric material, Boltzmann constant (kB), the absolute temperature (T), the number per unit volume (n) of certain charged particles, and the charge (q) carried by each…2016 · Shift 1 · Q37 · Multiple correct
  20. In an experiment to determine the acceleration due to gravity g, the formula used for the time period of a periodic motion is T=2π5g7(R−r)​​. The values of R and r are measured to be (60 ±…2016 · Shift 2 · Q41 · Multiple correct
  21. There are two Vernier calipers both of which have 1 cm divided into 10 equal divisions on the main scale. The Vernier scale of one of the calipers (C1) has 10 equal divisions that correspond to 9 main scale divisions. The Vernier scale of… Includes diagram2016 · Shift 2 · Q42 · MCQ
  22. Consider a Vernier callipers in which each 1 cm on the main scale is divided into 8 equal divisions and a screw gauge with 100 divisions on its circular scale. In the Vernier callipers, 5 divisions of the Vernier scale coincide with 4…2015 · Shift 1 · Q45 · Multiple correct
  23. Planck's constant h, speed of light c and gravitational constant G are used to form a unit of length L and a unit of mass M. Then the correct option(s) is(are)2015 · Shift 1 · Q46 · Multiple correct
  24. The energy of a system as a function of time t is given as E(t) = A2exp(−αt), where α=0.2s−1. The measurement of A has an error of 1.25 %. If the error in the measurement of time is 1.50 %,…2015 · Shift 2 · Q44 · Numerical
  25. During Searle's experiment, zero of the Vernier scale lies between 3.20 × 10-2 m and 3.25 × 10-2 m of the main scale. The 20th division of the Vernier scale exactly coincides with one of the main scale divisions. When an…2014 · Shift 1 · Q46 · Numerical
  26. To find the distance d over which a signal can be seen clearly in foggy conditions, a railways engineer uses dimensional analysis and assumes that the distance depends on the mass density ρ of the fog, intensity (power/area) S of the…2014 · Shift 1 · Q47 · Numerical
  27. The diameter of a cylinder is measured using a Vernier callipers with no zero error. It is found that the zero of the Vernier scale lies between 5.10 cm and 5.15 cm of the main scale. The Vernier scale has 50 divisions equivalent to 2.45…2013 · Shift 1 · Q52 · MCQ
  28. Match List I with List II and select the correct answer using the codes given below the lists: List I P. Boltzmann Constant Q. Coefficient of viscosity R. Plank Constant S. Thermal conductivity List II 1. [ML2T-1] 2. [ML-1T-1] 3.…2013 · Shift 2 · Q46 · MCQ
  29. In the determination of Young's modulus (Y=πld24MLg​) by using Searle's method, a wire of length L = 2 m and diameter d = 0.5 mm is used. For a load M = 2.5 kg, an extension l = 0.25 mm in the length…2012 · Shift 1 · Q45 · MCQ
  30. A dense collection of equal number of electrons and positive ions is called neutral plasma. Certain solids containing fixed positive ions surrounded by free electrons can be treated as neutral plasma. Let 'N' be the number density of free…2011 · Shift 1 · Q47 · MCQ
  31. 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…2011 · Shift 2 · Q48 · MCQ
  32. A student uses a simple pendulum of exactly 1m length to determine g, the acceleration due to gravity. He uses a stop watch with the least count of 1 sec for this and records 40 seconds for 20 oscillations. For this observation, which of…2010 · Shift 1 · Q66 · Multiple correct
  33. A vernier calipers has 1 mm marks on the main scale. It has 20 equal divisions on the Vernier scale which match with 16 main scale divisions. For this Vernier calipers, the least count is2010 · Shift 2 · Q39 · MCQ
  34. Student I, II and III perform an experiment for measuring the acceleration due to gravity (g) using a simple pendulum. They use different length of the pendulum and/or record time for different number of oscillations. The observations area… Includes table2008 · Shift 1 · Q47 · MCQ
  35. 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 ±0.05mm…2007 · Shift 2 · Q9 · MCQ