A long solenoid of radius $R$ carries a time $\left(t\right)$ dependent current $I\left(t\right)=I_{0}t\left(1-t\right)$ . A ring of radius $2R$ is placed coaxially near its middle. During the time interval $0\le t\le 1,$ the induced current $\left(I_R\right)$ and the induced $EMF\left(V_R\right)$ in the ring change as:

• A

  Direction of $I_R$ remains unchanged and $V_R$ is maximum at $t=0.5$
• B

  At $t=0.25$ direction of $I_R$ reverses and $V_R$ is maximum
• C

  Direction of $I_R$ remains unchanged and $V_R$ is zero at $t=0.25$
• Correct answer
  D

  At $t=0.5$ direction of $I_R$ reverses and $V_R$ is zero

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