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NEET 2020
Exam
NEET
Year
2020
Subject
Physics
Chapter
Electromagnetic Induction

NEET 2020 · Physics · Electromagnetic Induction

A wheel with 20 metallic spokes each 1m long is rotated with a...

A wheel with 2020 metallic spokes each 1m1m long is rotated with a speed of 120rpm120rpm in a plane perpendicular to a magnetic field of 0.4G.0 . 4G . The induced emf between the axle and rim of the wheel will be, (1G=10−4T)\left(1G = {10}^{- 4}T\right)

Options

  1. A2.51×10−4V2 . 51 \times {10}^{- 4}V
  2. B2.51×10−5V2 . 51 \times {10}^{- 5}V
  3. C4.0×10−5V4 . 0 \times {10}^{- 5}V
  4. D2.51V2 . 51V

Correct answer

A. 2.51×10−4V2 . 51 \times {10}^{- 4}V

Step-by-step solution

Given, the angular velocity, ω=2π60×120rads−1\omega = \dfrac{2\pi}{60} \times 120rad{s}^{- 1}.

Recall the formula of induced EMF in terms of angular velocity and radius of the ring, ε=12Bωr2ε = \dfrac{1}{2}B\omega{r}^{2}, now put the proper values at proper places,

⇒ε=12×(0.4×10−4)×(2π[12060])(1)2⇒ ε = \dfrac{1}{2} \times \left(0 . 4 \times {10}^{- 4}\right) \times \left(2\pi\left[\dfrac{120}{60}\right]\right) ( 1{)}^{2}

⇒ε=0.8π×10−4⇒ ε = 0 . 8\pi \times {10}^{- 4}=2.512×10−4V= 2 . 512 \times {10}^{- 4}\text{V}.

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