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A magnetic field exerts a force of 8.0 x 10–14 N toward the west on a proton moving vertically upward at a speed of 5.0 x 106 m/s. When moving straight in a northerly direction, the force on the proton is zero. Determine the magnitude and direction of the magnetic field B in this region. (The charge of a proton = 1.6 x 10-19 C).


A plano-concave lens is made of glass which has a refractive index of 1.5. One surface is flat, and the concave surface has a radius of curvature of 25 cm. determine the focal length of this lens.




A 200 Ω

Ω resistor, a 700 mH inductor and an 6.00 μ

μF capacitor are connected in series with a 240 V, and 60.0 Hz, AC source. Calculate the power factor.


For a particular device, in the house, it has alternating current (AC) and voltage of 20.0 A and 280 V respectively. What are their amplitude values?




A microscope is sharply focused on a mark. When a parallel plate of glass 4.8 mm thick is placed over the mark, the microscope has to be raised 0.18 cm to refocus. What is the refractive index of the glass?




A prism whose refracting angle is 600 causes a minimum deviation of 48 in a monochromatic bean of light. Calculate the refractive index of the prism for that wavelength.


Two point particles, one with charge +8.00 nC and the other with charge -2.00 nC, are separated by 4.00 m. The electric field in N/C midway between them is:


 Three charges are fixed to an xy-coordinate system. A charge of

18µC is on y = 3.0m. A charge of −12µC is at the origin. Lastly, a charge of 45µC is on the x-axis at x = 3.0m. Determine the magnitude and direction of the net electrostatic force on the charge at x = 3.0m


An infinitely long cylinder of radius R has its axis along z-axis. It has a uniform volume charge density and it is rotating with constant angular velocity. Find the magnetic field produced by it everywhere.


Derive the expression of the trajectory when a charged particle of 

charge q is subjected to a magnetic field perpendicular to its plane. 

From here comment on the trajectory of the particle.


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