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

2022 · 28 Jul · Shift 2 · Q40
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Physics
  4. /Units and Measurements
  5. /2022 · 28 Jul · Shift 2 · Q40

Units and Measurements question

2022 · 28 Jul · Shift 2 · Q40

JEE MainPhysicsUnits and MeasurementsMCQ+4 / −1
Consider the efficiency of carnot's engine is given by η=αβsin⁡θlog⁡eβxkT\eta=\frac{\alpha \beta}{\sin \theta} \log_e \frac{\beta x}{k T}η=sinθαβ​loge​kTβx​, where α\alphaα and β\betaβ are constants. If T is temperature, k is Boltzmann constant, θ\thetaθ is angular displacement and x has the dimensions of length. Then, choose the incorrect option :
  1. A
    Dimensions of β\betaβ is same as that of force.
  2. B
    Dimensions of α−1x\alpha^{-1} xα−1x is same as that of energy.
  3. C
    Dimensions of η−1sin⁡θ\eta^{-1} \sin \thetaη−1sinθ is same as that of αβ\alpha \betaαβ.
  4. D
    Dimensions of α\alphaα is same as that of β\betaβ.
PreviousNext

More from Units and Measurements

  • In an experiment to find acceleration due to gravity (g) using simple pendulum, time period of 0.5 s is measured from time of 100 oscillation with a watch of 1 s resolution. If measured value of length is 10 cm…2022 · Numerical
  • Velocity (v) and acceleration (a) in two systems of units 1 and 2 are related as v2​=m2n​v1​ and a2​=mna1​​ respectively. Here m and n are constants. The relations for distance and time in two…2022 · MCQ
  • A student in the laboratory measures thickness of a wire using screw gauge. The readings are 1.22 mm, 1.23 mm, 1.19 mm and 1.20 mm. The percentage error is 121x​%. The value of x is ​.2022 · Numerical
  • Given below are two statements : One is labelled as Assertion (A) and other is labelled as Reason (R). Assertion (A) : Time period of oscillation of a liquid drop depends on surface tension (S), if density of the liquid is ρ and…2022 · MCQ
  • A travelling microscope has 20 divisions per cm on the main scale while its vernier scale has total 50 divisions and 25 vernier scale divisions are equal to 24 main scale divisions, what is the least count of the travelling…2022 · MCQ
  • In an experiment to find out the diameter of wire using screw gauge, the following observations were noted : (A) Screw moves 0.5 mm on main scale in one complete rotation (B) Total divisions on circular scale =50(C) Main… Includes diagram2022 · MCQ
  • Match List I with List II. Choose the correct answer from the options given below : Includes table2022 · MCQ
  • The Vernier constant of Vernier callipers is 0.1 mm and it has zero error of (− 0.05) cm. While measuring diameter of a sphere, the main scale reading is 1.7 cm and coinciding vernier division is 5. The corrected diameter will be ​×…2022 · Numerical