8075

Mathematics Calculus Level: Misc Level

Give a summary of continuity and differential calculus, standard trignometric derivatives, and standard inverse trignometric derivatives.


8074

Mathematics Calculus Level: Misc Level

Give a summary of continuity and differential calculus, standard trignometric derivatives, and standard inverse trignometric derivatives.


8073

Mathematics Integration Level: Misc Level

What are standard integrals and integrals of trignometric functions?


8072

Mathematics Integration Level: Misc Level

What are standard integrals and integrals of trignometric functions?


8071

Mathematics Integration Level: Misc Level

What are the fundamental notations of integral calculus, properties of definite integrals and solutions of differential equations?


8070

Physics Electrostatics Level: Misc Level

The capacitance of a capacitor depends on 

A) the charge on it.

B) the potential difference across it.

C) the energy stored in it.

D)More than one of these.

E) None of these.


8069

Physics Electrostatics Level: Misc Level

Each plate of a parallel-plate air capacitor has an area of 0.0010 m2, and the separation of the plates is 0.080 mm.An electric field of 4.7x106 V/m is present between the plates.The capacitance of the capacitor, in pF, is closest to;

A)110 B) 74 C) 190 D) 150 E) 220


8068

Physics Electrostatics Level: Misc Level

Three point charges are placed at the following (x,y) coordinates; charge+5.0x10-6Cat(0,0.7m0, charge+7.0x10-6Cat(0.9m,0), and charge-5.0x10-6Cat (0.9m,0.7m).Calculate the electrical potential at the origin due to these three point charges.Take the zero of potential to be at infinity.


8067

Mathematics Integration Level: Misc Level

What are the fundamental notations of integral calculus, properties of definite integrals and solutions of differential equations?


8066

Physics Electrostatics Level: Misc Level

A proton with speed1.5x105 m/s falls through a potential difference of 100 volts,gaing speed.What is the speed reached?

A) 4.56x105 m/s

B) 2.04X105 m/s

C) 3.55x105 m/s

D)  8.80X105 m/s

E) 1.55x106 m/s


8065

Physics Electrostatics Level: Misc Level

Point charges,Q1=+69 nC and Q2=-98 nC, are placed as shown.In Figure, an exteral force transports an electron from point A to point B.The work done by the external force is closest to;

A) +1000eV B)+840eV C)+670eV D) -1000 eV E)-670 eV


8064

Physics Electrostatics Level: Misc Level

In Figure a cube of insulating material has one corner at the origin. Each side of the cube has length 0.020 m, so the top face of the cube is parallel to the xz-plane and is at y=0.02 m.It is observed that there is an electric field E=(7960 N/C.m)y j, that is in the+y direction and whose magnitude depends only on y. use Gauss,s Law to calculate the net charge enclosed by the cube.

(Note; eo=8.854x10-12 C2/N.m2)


8063

Physics Electrostatics Level: Misc Level

When there is a net static charge present on a perfect conductor, and no other charges are present

A) the chargewill be uniformly distributed over the outside of the conductor 9i.e., the surface charge density will be constant)

B) every point throughout the entire conductor will be at zero potential.

C) every point throughout the entire conductor will be at a constant potential, but not necessarily at zero potential,

D) the electric field inside the conductor need not be zero if the conductor is hollow.

E) the surface charge density will be greatest where the conductor is flat and smallest where there are sharp protuberances or points.


8062

Physics Electrostatics Level: Misc Level

In Figure ,an electron is projected from plate A,directly towards plate B,with an initial velocity of vo=2.0x107 m/s.The velocity of the electron as it strikes plate B is closest to ;

A)1.2X107 m/s

B)1.5X107 m/s

C)1.8X107 m/s

D)2.1X107m/s

E)2.4X107 m/s


8061

Physics Electrostatics Level: Misc Level

In Figure a, small 80 g insulating sphere is suspended from point p by a silk thread that in 50 cm long.The sphere bears an unknown electric charge Q.A positive point charge q=+2.0uC is brought to a  position directly below p,and the sphere is repelled to a new position,30 cm to the right of q,asshown.The charge Qin uC, is closest to;

A)+1.5

B)+2.0

C)+2.5

D)+3.0

E)+3.5


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