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NEET
Exam
NEET
Subject
Physics
Chapter
Magnetic Effects of Current

NEET · Physics · Magnetic Effects of Current

An infinitely long hollow conducting cylinder with radius R carries...

An infinitely long hollow conducting cylinder with radius RR carries a uniform current along its surface.

Choose the correct representation of magnetic field (B)\left(B\right)as a function of radial distance (r)\left(r\right) from the axis of cylinder.

An infinitely long hollow conducting cylinder with radius R carries a uniform current along its surface. Choose theAn infinitely long hollow conducting cylinder with radius R carries a uniform current along its surface. Choose theAn infinitely long hollow conducting cylinder with radius R carries a uniform current along its surface. Choose theAn infinitely long hollow conducting cylinder with radius R carries a uniform current along its surface. Choose the

Options

  1. AA projectile of mass M is fired from the ground with an initial speed u at an angle of 60^ to the horizontal. At the
  2. BA projectile of mass M is fired from the ground with an initial speed u at an angle of 60^ to the horizontal. At the
  3. CA projectile of mass M is fired from the ground with an initial speed u at an angle of 60^ to the horizontal. At the
  4. DA projectile of mass M is fired from the ground with an initial speed u at an angle of 60^ to the horizontal. At the

Correct answer

D. A projectile of mass M is fired from the ground with an initial speed u at an angle of 60^ to the horizontal. At the

Step-by-step solution

According to Ampere's law,

∮B→⋅dl→=μ0i∮ \overset{\to}{B} \cdot d \overset{\to}{l} = {\mu}_{0}i

Inside the hollow cylinder, current will be zero. Therefore, magnetic field will also be zero.

Outside the cylinder,

B2\pir=μ0iB2\pir = {\mu}_{0}i
⇒B=μ0i2\pir⇒B∝1r⇒ B = \dfrac{{\mu}_{0}i}{2\pir} ⇒ B ∝ \dfrac{1}{r}

Hence, the correct answer is D.

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