When a silver spoon is immersed in an aqueous copper sulphate solution, a displacement reaction takes place. Copper being more reactive than silver, displaces silver from its salt solution and gets deposited on the surface of the spoon. As a result, the silver spoon gets coated with a layer of copper and the blue color of copper sulphate solution starts fading. The chemical reaction that takes place is:

$$CuSO_4(aq) + 2Ag(s) → 2AgNO_3(aq) + Cu(s)$$

In this reaction, copper atoms replace silver atoms in the copper sulphate solution, forming silver nitrate. The copper atoms then get deposited on the surface of the silver spoon.