A wire is stretched just to its breaking point by a force F . A longer wire made of the same material has the same diameter. The force that will stretch the longer wire to its breaking point is much smaller than F?

No

Explanation:

The force F required is equal to the Force exerted in stretching the first material since conditions are the same

No.

Explanation:

Both wires are made up of the same material which means they will have the same young modulus.

Y = F/A × L/ΔL

From the equation above, the force applied per cross sectional (same diameter) are is the same for both materials and is constant.

So

L1/ΔL1 = L2/ΔL2

Or L2/L1 = ΔL2/ΔL1

So the force needed to bring about a stretching the the breaking point is the same. The only difference is in by how much the longer wire would have to stretch before reaching its breaking point.