(100 points)some air filters contain a small component that maintains a constant negative chargeq. particlesnear this component are attracted through the coulomb force. consider a single, neutral, particle a distancedfrom the air filter component. the distancedis much larger than the size of the particle. a carbon atom in theparticle has polarizabilityα.a. calculate the magnitude of the electric force on an atom in the particle. explain your steps clearly and payparticular attention to defining any additional algebraic symbols so that we can follow your reasoning. ifyou make an assumption state them explicitly. b. why can you neglect the effects of gravity in your calculation? c. if the particle was initially twice as far from the charged component, how would the electric force on theparticle change? d. if the mass of the particle was doubled, how would the electric force on the particle change? e. if the charge on the air filterqhad been positive instead of negative, how would the electric force on theparticle change? would anything about this problem change?