4.A diffraction grating just resolves the wavelengths 400.0 nm and 400.1 nm in the first order. The number of slits in the grating is .
(A)400
(B)1000
(C)2500
(D)3000
(E)4000

20. A second order reaction starts with an initial concentration of 0.020M of the reactant. If the rate constant is 10/(M. .), calculate the time required to decrease the initial concentration to 0.005M. (A)0.069s (B)10s (C)15s (D)0.139s (E)20s.

1.A 300N weight, 5m long rigid uniform ladder is leaning against a smooth vertical wall. A 750N weight man stands on a rung 4m up along the ladder from its base as shown in fig.1. What is the minimum coefficient of the statical friction between the ladder and the floor required to keep the system in equilibrium? The angle is 53.1° on a horizontal beam. (cos53.1° = 0.6, sin53.1° = 0.8) (A)0.22 (B)0.42 (C)0.46 (D)0.54 (E)1.90

2.An imaginary closed surface S of radius R is centered on the origin. A positive charge is originally at the origin, and the flux through hte surface is . The positive charge is slowly moved from the origin to a point R/2 away from the origin. Now the flux is . (A) (B)(C) (D) (E)

3.An incompressible fluid flows through a horizontal pipe. At one point in the pipe the pressure in the fluid is p1 and the fluid speed is v1. Further down the pipe pressure is p2 and the flued speed is 2v1. What can be concluded about p1 and p2? (A) (B) (C) (D) (E)only that

5.A clear sheet of polaroid is placed on top of a simmilar sheets so that their polarizing axes make an angle of 30° with each other. The ratio of the intensity of emerging light to incident unpolarized light its . (  cos30o,sin30o    ) (A)1/4 (B)1/3 (C)1/2 (D)3/4 (E)3/8

6.What is the intensity ratio of sound for the heavy truck at 1.5m(90dB) to normal conversation at 1m(60dB)? (A)1.5 (B)103 (C)0.67 (D)1030 (E)

7.What is the ratio of the shortest wavelength of the Balmer series to the shortest wavelength of the Lyman series in the spectrum of the Hydrogen atom? (A)2 (B)5 (C)3 (D)4 (E)9

8.Some sunglasses are coated on one side with a thin film of MgF2 to reduce reflection from the glass surface. The index of refraction of MgF2 is 1.38; that of the glass is 1.50. What is the least coating thickness that eliminates (via interference) the reflections in the range of the visible spectrum (≒ 550nm)? Assume that the light is approximately perpendicular to the glass surface. (A)40nm (B)60nm (C)80nm (D)100nm (E)120nm

9.The two headlights of a car are 1.4m apart. At what maximum distance will the eyes resolve them? Assume that the pupil diameter is 5.0mm, and use a wavelength of 550 nm for the light. (Consider only diffraction effects.) (A)3km (B)5km (C)10km (D)15km (E)20km Fig 1

10.A flute (which we treat as a pipe open at both ends) is 60cm long. How far from the mouthpiece should a hole be uncovered for the fundamental frequency to be 330Hz? (The speed of sound is 330m/s). (A)35cm (B)40cm (C)45cm (D)50cm (E)55cm