There will be no reaction with this combination.
This is an example of a redox reaction that is not spontaneous. The silver metal is a reducing agent, but a very weak one. This means it can cause to reduction of other substances (more about them later), by undergoing oxidation itself. However, being a weak reducing agent means it is difficult to oxidize.
The oxidation of silver metal is written
The electrode potential that goes with this process is
For this to happen, however, we require an oxidizing agent - one that is quite strong, because Ag is difficult to oxidize. The only oxidizing agents in this question are lead ion,
Neither of these is sufficiently strong to cause the oxidation of the silver metal. Here is the proof:
The reduction of lead ion is given by:
But, the potential for this is
In order for a spontaneous reaction to occur, the value obtained by subtracting the potential for the oxidation
In this case, it is
a non-spontaneous reaction.
In a similar way, it can be shown that the nitrate ion is also not able to cause silver to oxidize (unless you provide a large concentration of