Doubts
Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents
Sign in to save progress →
Doubts
Sign in

Units and Measurements question

2016 · Shift 1 · Q37
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Advanced
  3. /Physics
  4. /Units and Measurements
  5. /2016 · Shift 1 · Q37

Units and Measurements question

2016 · Shift 1 · Q37

JEE AdvancedPhysicsUnits and MeasurementsMultiple correct+3 / −1
A length-scale (l) depends on the permittivity (ε\varepsilonε) 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 of the particles. Which of the following expression(s) for I is(are) dimensionally correct?
  1. A
    l=(nq2εkbT)l = \sqrt {\left( {{{n{q^2}} \over {\varepsilon {k_b}T}}} \right)}l=(εkb​Tnq2​)​
  2. B
    l=(εkbTnq2)l = \sqrt {\left( {{{\varepsilon {k_b}T} \over {n{q^2}}}} \right)}l=(nq2εkb​T​)​
  3. C
    l=(q2εn2/3kBT)l = \sqrt {\left( {{{{q^2}} \over {\varepsilon {n^{2/3}}{k_B}T}}} \right)}l=(εn2/3kB​Tq2​)​
  4. D
    l=(q2εn1/3kBT)l = \sqrt {\left( {{{{q^2}} \over {\varepsilon {n^{1/3}}{k_B}T}}} \right)}l=(εn1/3kB​Tq2​)​
PreviousNext

More from Units and Measurements

  • 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 · Multiple correct
  • 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 · MCQ
  • 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 · Multiple correct
  • 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 · Multiple correct
  • 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 · Numerical
  • 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 · Numerical
  • 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 · Numerical
  • 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 · MCQ