Final Exam Phy-113-01 Sping-2023 7. In case of charging capacitor in an RC circuit, the charge on the capacitor varies with time by the equation (a) q = CE (1 + e-URC) (b) q = CE e-URC (c) q =CE (1-e-URC) (d) None 8. Speed (v) of a charged particle in a magnetic field (B) has the formula (a) qBR/m (b) qBR-/m c) qBR/m (d) None 9. Hall-effect measurements can be used to determine the charge carriers concentration (nq) equals to (a) - JxByEz (b) - JxEz/B, (c) - JxBy/Ez (d) None 10. Magnetic permeability in free space (Mo) has the value of (a) 2x x 10-7 Wb/A.m (b) 47 x 10- Wb/A.m (c) 67 x 10- Wb/A.m (d) None 1 1. Ampere's law states that the line integral of B around any closed path equals to (a) $ B. dl = Ho lencl (b) 2 5 B. dl = Mo lencl (c) 4 5 B. dl = Mo lencl (d) None 12. An inductor with inductance (L) carrying current (1) has the energy (U) of (a) 1/2 LI (b) 1/2 LI (c) 2LI (d) None 4Final Exam Phy-113-01 Sping-2023 13. Average Power input to an AC circuits is (a) 1/2 VI sin Q (b) 1/2 VI tan C) 1/2 VI cos (d) None 14. Inductive reactance (XL) equals to (a) W/L ( b ) w L 2 C) WL (d) None 15. The magnitude of the time-averaged value of the Poynting vector is called the intensity (1) of the wave is (a) I= LEo CEmax (b) 1/4 = HE CE 2 (C) 113 = HE CE 2 (d) None 16. The index of refraction is defined as (a) c/v (b) cv (c) c/2v (d) None 17 Brewster's law is (a) tan Op = nba (b) cos Op = nba (c) sin Op = nba (d) None 18. Lens maker's equation is (a) 1/f=n (1/R1-1/R2) (b) 1/f=(n-1)(1/R1-1/R2) (c) 1/f=(2n-1)(1/R1-1/R2) (d) NoneAS INST Final Exam Phy-113-01 Sping-2023 Section: I (Multiple choices each carry 2 marks: 30 X 2 = 60) (a) p E coso 1. The potential energy (U) for an electric dipole in an electric field (E) is (b) - P E coso (c) PE/ coso (d) None 2. Gauss's law measures electric flux through an enclosed surface of charge (Q) as (a) $ E. dA =2Qenci/Eo (b) $ E. dA =Eo/Qenel (c) $ E. dA = Qenci/Eo (d) None 3. Electric potential difference between two potential points (Va -Vb) is (a) So E.al ( b ) SD E X dl (c) Both (d) None 4. What is the capacitance (C) of a parallel plate capacitor with dielectric (K)? (a) AEd (b) AEold (c) AEoK/d (d) None 5. Resistivity (p) is expressed as (a) J/E ( b) JE (c) E/J (d) None 6. Current (I) through a circuit with electro-motive-force (e.m.f.) is (a) E/(R-r) ( b) E/ (R+r) (c) E/(R+2r) (d) NoneFinal Exam Phy-113-01 Sping-2023 Section -II (Problem solving each carrying 5 marks: 8 X 5 = 40) 31. Calculate the electric field at a field point of 0.02 um from a point charge of q = +20 nC? 32. What is the equivalent resistance of 200 resistors each of 0.02 ohm are connected in parallel to an external circuit of +220 V? 33. Find the magnetic field (B) due to current of 1.5 A through a solenoid of length of 0.2 m and has the number of coils 5000? 34. Find the index of refraction of second medium when light suffers total internal reflection from first medium (n = 1.3) with critical angle of 260? 35. Find the slit separation (d) of a diffraction grating consists of a large number of thin parallel slits used in a light (450 nm)? (m = 2, and 0 = 909)? 36. Find length contraction of a sub-atomic particle moving at a speed 98% of speed of light ? 37. Calculate energy of the atomic state with n = 8? 38. Find the lifetime (Tmean) of a radioactive nucleus with half-life (T1/2) of 100 ns?OM OFF Final Exam Phy-113-01 Sping-2023 25. Bohr magneton (MB) is (a) eh/2mm (b) eh/4mm (c) eh/6mm (d) None 26. Energy level (En) in many-electron atom is (a) - Zeff ( 13. 6 eV ) n 4 (b) - Leff ( 13. 6 eV) (c) - Jeff (13. 6 eV) (d) None 27. The current-voltage relationship in case of an ideal PN-junction diode is (a) 1 = 2 Is (ekT - 1) ev ev (b) I = 4 Is (ekT - 1) ev (c) I = Is (ekT - 1) (d) None 28. The rate of radioactive decay of unstable nuclei is expressed by the equation (a) N = No e-2xt ( b ) N = Noeat (c) N = 2No eat (d) Depends 29. Yukawa potential energy in the nucleus is (a) L r ( b ) - (e To ) ( c ) " (e To ) (d) None 30. Hubble's law formula is (a) v = 4Hor (b) v = 2Hor (c) v = Hor (d) NoneSINGInHISN 8 Ad Plus AdN Final Exam Phy-113-01 Sping-2023 19 Constructive interference due to reflection from thin film with thickness (t) having no relative phase shift is given by the equation (a) 2t = ma ( b ) 2t = (m+ 1/ 2 ) 2 (c) t = (m+1/2) 2 (d) None 20. Maxima of a several-slit diffraction has the path difference d sino equals to (a) m/2 ( b) Mm c ) ma (d) None 21. Length contraction is expressed as (a) 1 = 10 /1 - 42 ( b ) 1 = 10/ / 1 - (c) 1= 1 -2, (d) None 22. Rest energy of a particles is given by the equation (a) E = mc2 (b) E = 2mc2 C) E = Ymc? (d) All of the above 23. Heisenberg's uncertainty principle for energy and time is (a) AtAE > h/4n (b) AtME = h/4n c) AtAE S h/4T (d) None 24. The energy levels (En) for the quantum harmonic oscillator (a) (n) hw/2n (b) (n+1/2) hw/4x (c) (n+1/2) hw/2n (d) None