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Answer :
Final answer:
To prevent deflection of the protons, the speed of the protons should be 50 m/s and the electric field should be in the positive y-direction.
Explanation:
To ensure that the protons are not deflected, the electric force and the magnetic force acting on the protons must be equal and opposite to each other. Using the equation qVB = qE, we can equate the magnitudes of the electric force and the magnetic force. Since the electric field is in the positive y-direction, the velocity of the protons must be in the positive x-direction. By substituting the given values and solving the equation, we find that the speed of the protons should be 50 m/s and the electric field should be in the positive y-direction.
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