A vessel containing water is in equilibrium on a beam balance when a man puts his finger into the water without touching the bottom and the sides of the vessel the scale pan on which the vessel stands. will sink. will float. will neither sink nor float. cannot be said

Dear Student,
When the man dip his finger in the water, the water exerts bouyant force on the finger according to the Archimedes’s principle. Due to Newton’s third law of motion, the finger will exert an equal and opposite force on the water in downward direction resulting in increase of the weight of water. THus the scale pan on which the vessel stands will sink.
Regards