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Answer:
First the answer u need : 3) Falls
asuming the cork balls sink when they are dropped in lake,
Always remember any thing that sinks displaces less volume of water than if it is made to float( without changing mass)
the balls on the boat push the boat downwards so the boat displaces a certain volume of water, this volume displaced is greater than the actual volume of all the balls ( as boat is less dense than balls )
So the buoyant force keeps the boat with balls afloat coz more water is displaces
the balls thrown into lake do not float
meaning bouyant force is smaller
meaning weight and volume of displaced liquid is lesser than initial case
so if intially boat+balls displace more volume than boat and balls seperately
so initially more vol occupied
so initially lake has higher level
finally less volume occupied
so finally lake has lower level, ie. level drops or falls
Tricky question , hope this helps
(ignore this part if didnt understand it ll make u more confused)
PS ideally cork balls usually float but I know they intented in the question for them to sink, either way answer is the same just magnitude of fall is a little less
Sincearly,
Random dude