This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
B. Electrons are deflected more than protons because they have a smaller mass-to-charge ratio. Here's why: • Charged particles in an electric field: Particles with a charge experience a force in an electric field. The force is given by F = qE, where q is the charge and E is the electric field strength. • Direction of deflection: Protons are positively charged, so they are deflected towards the negative plate. Electrons are negatively charged, so they are deflected towards the positive plate. Neutrons are neutral and are not deflected by an electric field. This makes options A, C, and D incorrect regarding the direction or magnitude of deflection. • Magnitude of deflection: The acceleration of a particle in an electric field is a = (F)/(m) = (qE)/(m). The deflection is proportional to this acceleration. Both protons and electrons have charges of equal magnitude (e), but the mass of an electron (m_e) is significantly smaller than the mass of a proton (m_p). • Mass-to-charge ratio: The mass-to-charge ratio for an electron (m_e/e) is much smaller than for a proton (m_p/e). A smaller mass-to-charge ratio means a larger charge-to-mass ratio (e/m). A larger charge-to-mass ratio results in a greater acceleration and thus a greater deflection for the same electric field strength. Therefore, electrons are deflected more than protons. Drop the next question.