A long solenoid with 10.0 turn/cm and a radius of 8 cm carries a current of 7 mA. A current carrying straight conductor is located along the central axis of the solenoid. If the direction of resulting magnetic field is $60^{\circ}$ to axial direction at a point $5 \mathrm{~cm}$ from the axis of the solenoid along the radial direction, then the current in the conductor is [Take $\sqrt{2}=1.4, \sqrt{3}=1.7$ ]

• A

  $3.41 \mathrm{~A}$
• B

  $4.21 \mathrm{~A}$
• Correct answer
  C

  $3.74 \mathrm{~A}$
• D

  $4.5 \mathrm{~A}$

Hence, the correct answer is option: 'C'.