Question

5) you need the energy levels of a hydrogen atom. A series will be picked and will be asked for the energy for a particular transition. What equation would you use (if there is one) and how would you solve for it?

6) electrons are sent through an electric field and the kinematics are asked. For example is it slows down, how long does it take to stop? If it accelerates, how to find velocity? What equation(s) would you use and how would you solve for it?

7) you have an RLC circuit, it is charged up. The switch is closed and is asked for how long does it take for the current to reach a certain value. What equation would you use and how owuld you solve for it?

9) you either have a single lens or a single mirror. The things involved are focal length, the height of the object, where the object is placed, where the image will be formed, and whether it is upright or inverted. What equation would you use and how would you solve for it?

Answer 1

Q1.

Ans- For energy of a particular transition we will use Rydberg formula . which is

         E=E_o(1/n_1² - 1/n₂² )

Where E_o is 13.6 eV for hydrogen atom.

           n₁ initial level

           n₂ is final level of transition.

Q2

Ans- Let given electric field is E .

        Then first find acceleration of electron in this electric field using newtons second law .

                                           a= F/m

        Here force on electron will be , F = -eE

         For velocity , integrate acceleration w.r.t. time with given limits ,    v=integration[(a)dt]

        from here you will get expression for velocity. by putting v=0 . you can find when it will come to rest .

       we can calculate position by integrating velocity w.r.t. time.