From which of the following cases, the induced current in the loop will not be obtained?

The current will only induce in the coil if the magnetic field around the coil changes. This can only happen when:

•Magnet move towards the coil or move away from it.

•Coil move toward the magnet or move away from it.

•Both move towards each other {or we can also say loop and magnet move in opposite direction with same speed.}

These five condition are the only condition for induction of current in the loop.

But, in option D the magnet and loop are moving in one direction let's say positive X-axis with same speed. Such movement will not change the magnetic field between them because the distance between them is also constant.

So, option A, B, C will result into induction of current but option D won't.