60. A rod of semiconducting material with length L and cross-sectional area A lies along the x-axis between x = 0 and x = L . Its resistivity varies with x according to . The material obeys Ohm’s Law. What is the total resistance of the rod?
(A)
(B)
(C)
(D)
(E)

56. For quantum model, E = hν = hc / λ, where E is photon energy in unit of eV, h is the Planck’s constant ( ), ν is the frequency (s -1 ), λ is the wavelength in meters (m), then E✖λ (eV m) is: (A)  1.24 ✖10- 3 (B)  1.24✖ 10- 4 (C) 1.24 ✖10-5 (D)  1.24✖ 10- 6 (E)  1.24✖ 10-7

57. A particle with mass m and charge q, moving with a velocity v, enters a region of uniform magnetic field B, as shown in the figure below. The particle strikes the wall at a distance d from the entrance slit. If the particle’s velocity stays the same but its charge-to-mass ratio is doubled, at what distance from the entrance slit will the particle strike the wall? (A) 2d (B) (C) d (D) (E)

58. The position of a particle moving on x-axis is given by  x = , with x in meters and t in seconds. Which statement in the following is correct? (A) The particle is moving in the positive direction of x with a speed of 1.5m/s at t =1.0 s. (B) The acceleration of the particle at t = 1.0 s is -0.50 m / s 2 . (C) The acceleration of the particle is constant. (D) The particle is moving in the negative direction of x with a speed of 0.50m/s at t =1.0 s. (E) The velocity of the particle is constant.

59. A wire loop of area 1000 cm 2 has a resistance of 10 ohms. A magnetic field B normal to the loop initially has a magnitude of 0.1 T and is reduce to zero at a uniform rate in 10-4 s. Thus, the resulting current is: (A) 10000 A (B) 1000 A (C) 100 A (D) 10 A (E) 1 A

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