There isn't one.
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its the same as crystal version , first you need to get in team rocket hidout in ecruteak city go every door where in a door then there is a stair going down battle all team rocket a man will say "oh! i drop my silph scope" then youll get itYou can't obtain the silph scope in Pokemon heartgold.
There is no silph scope in Silver, as Lavender Tower doesn't exist anymore.
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The SILPH SCOPE is an item used to see the Pokemon "GHOSTs" in POKEMON TOWER (which is located near the entrance of LAVENDER TOWN) that appear randomly in the upper levels of the tower. You will need the SILPH SCOPE to reach the highest level of POKEMON TOWER. This item is fairly easy to obtain, as long as your Pokemon are in good health and can successfully protect you. And that, my fellow Pokemon fan, is why you need the SILPH SCOPE.
Defeat Team Rocket's Boss in the game corner he will leave the silph scope behind take it then leave.