**Explanation:**

The statement that is wrong is option D, which states that the unit of surface tension is Newton meter.

**Surface Tension:**

Surface tension is the property of a liquid that allows it to resist an external force due to the cohesive forces between its molecules. It is defined as the force acting per unit length along the surface of a liquid. The SI unit of surface tension is Newton per meter (N/m) or joule per square meter (J/m^2).

**Explanation of the other options:**

a) **Unit of K.E. is Newton-metre:**
The unit of kinetic energy (K.E.) is not Newton-meter (N·m), but rather Joule (J). Kinetic energy is the energy possessed by an object due to its motion. The SI unit of energy is Joule, which is defined as the work done when a force of one Newton is applied over a displacement of one meter.

b) **Unit of viscosity is poise:**
The statement is correct. The unit of viscosity is poise (P). Viscosity is a measure of a fluid's resistance to flow. It describes the internal friction of a moving fluid. The poise is the unit of dynamic viscosity in the centimeter-gram-second (CGS) system of units.

c) **Work and energy have the same dimensions:**
The statement is correct. Work and energy have the same dimensions. Both work and energy are measured in the SI unit of Joule (J). Work is defined as the product of force and displacement, while energy is the capacity to do work.

d) **Unit of surface tension is Newton meter:**
The statement is wrong. As mentioned earlier, the SI unit of surface tension is Newton per meter (N/m) or joule per square meter (J/m^2), not Newton meter (N·m).

In conclusion, the correct statement is option D, as the unit of surface tension is not Newton meter (N·m), but rather Newton per meter (N/m) or joule per square meter (J/m^2).