Physics II Final Exam Math

EVERYTHING IMPORTANT DO THIS UNTIL YOU CAN'T NO MORE (MANIFESTING A 100)

If a charge generator builds up a negative static charge of -9.00 microcoulombs, how many electrons are transferred to it during this process? (Round to 3 significant figures)

5.63 × 10^13

Two electrons are 28mm apart at closest approach. What is the magnitude of the maximum electric force that they exert on each other? (Round to 2 significant figures)

2.9 × 10^-25 N

Three point charges are located on the x-axis at the following positions: Q1 = +2 microcoulombs is at x = 1m, Q2 = +3 microcoulombs is at x = 0m, and Q3 = -5 microcoulombs is at x = -1m. What is the magnitude of the electric force on Q2? (Round to 3 significant figures)

0.189 N

A metal sphere of radius 2cm carries an excess charge of 3 microcoulombs. What is the electric field 6cm from the center of the sphere? (Round to 2 significant figures)

7.5 × 10^6 N/C

Two tiny particles having charges +60 microcoulombs and -12 microcoulombs are separated by a distance of 20cm. What are the magnitude and direction of electric field midway between these two charges?

a) 64.7 × 10^6 N/C directed towards the negative charge

b) 64.7 × 10^4 N/C directed towards the negative charge

c) 64.7 × 10^5 N/C directed towards the positive charge

d) 64.7 × 10^5 N/C directed towards the negative charge

e) 64.7 × 10^6 N/C directed towards the positive charge

64.7 × 10^6 N/C directed towards the negative charge

If it takes 10J of energy to move 2C of charge from point A to point B, what is the magnitude of the potential difference between points A and B? (Round to 2 significant figures)

5.0V

A 3 microcoulomb point charge and a 10 microcoulomb point charge are initially extremely far apart. How much work does it take to bring the 3 microcoulomb point charge to a position 6mm from the 10 microcoulomb point charge? (Round to 2 significant figures)

45J

A battery maintains the electric potential difference of 24V between two large parallel metal plates separated by 10cm. What is the strength of the electric field between the plates? (Round to three significant figures)

240V/m

When a 7 microfarad air filled capacitor has a charge of +50 microcoulombs on its plates, how much potential energy is stored in this capacitor? (Round to three significant figures)

179 microjoules

A system of 4 capacitors is connected across a 90V voltage source as shown in the figure. What is the equivalent capacitance of this system? (Round to 2 significant figures)

3.3 microfarads

A 6 microfarad capacitor and a 8 microfarad capacitor are connected in series across an 8V potential source. What is the potential difference across the 6 microfarad capacitor? (Round to 2 significant figures)

4.6V

What current is flowing in a wire if 0.47C of charge pass a point in the wire in 0.20s? (Round to 2 significant figures)

2.4A

What potential difference is required to cause 2.0A to flow through a resistance of 8 ohms? (Round to 2 significant figures)

16V

The resistivity of the material of a wire is 1.76 × 10^-8 ohms x meter. If the diameter of the wire is 2mm and its length is 2m, what is its resistance? (round to 3 significant figures)

0.0112 ohms

A 75 W lightbulb is designed to operate at 120V dc. How much current does it draw? (Round to 2 significant figures)

0.63A

Each of the resistors shown in the figure has a resistance of 440 ohms. What is the equivalent resistance between points A and B of this combination? (Round to 4 significant figures)

1100 ohms

If V = 20V what is the current through R3 in the figure? (Round to 2 significant figures)

0.20A

A 9V power supply is connected across a 230 ohm resistor and in series with a 760 ohm resistor. What is the potential drop across the 230 ohm resistor? (round to 2 significant figures)

2.1V

A straight 1m long wire is carrying a current. The wire is placed perpendicular to a magnetic field of strength 0.20T. If the wire experiences a force of 0.60N, what is the current in the wire? (round to 2 significant figures)

3.0A

An electron moves with a speed of 4.0 × 10^4 m/s perpendicular to a uniform magnetic field of magnitude 0.50T. What is the magnitude of the magnetic force on the electron? (e = 1.60 × 10^-19C) (round to 2 significant figures)

3.2 × 10^-15 N

A proton having a speed of 3.0 × 10^6 m/s in a direction perpendicular to a uniform magnetic field moves in a circle of radius 0.20m within the field. What is the magnitude of the magnetic field? (e = 1.60 × 10^19 C, mass of proton is 1.67 × 10^-27 kg) (round to 2 significant figures)

0.16T

A high power line carries a current of 1.0kA. What is the strength of the magnetic field this line produces at the ground, 10m away? (round to 2 significant figures)

20T

An ideal solenoid 20cm long is wound with 5000 turns of very thin wire. What strength magnetic field is produced at the center of the solenoid when a current of 10A flows through it? (Round to 2 significant figures)

0.31T

A flat circular loop of radius 0.10m is rotating in a uniform magnetic field of 0.20T. Find the magnetic flux through the loop when the plane of the loop and the magnetic field vector are perpendicular. (round to 2 significant figures)

6.3 × 10^-3 T x m²

A circular coil of 80 turns and radius of 8cm is placed with its plane oriented at 90 degrees to a uniform magnetic field of 0.10T. The field is now increased at a steady rate, reaching a value of 0.70T after 4.0s. What emf is induced in the coil? (round to 2 significant figures)

0.24V

As shown in the figure, a wire and a 10 ohm resistor are used to form a circuit in the shape of a square with dimensions of 20cm by 20cm. A uniform but non-steady magnetic field is directed into the plane of the circuit. The magnitude of the magnetic field is steadily decreased from 0.30T to 0.10T in a time interval of 43ms. What is the induced current in the circuit, and what direction is it through the resistor?

a) 19mA, from b to a

b) 19mA, from a to b

c) 11mA, from a to b

d) 28mA, from a to b

e) 11mA, from b to a

19mA, from b to a

The primary coil of an ideal transformer has 100 turns and its secondary coil has 400 turns. If the ac voltage applied to the primary coil is 120V, what voltage is present in its secondary coil? (round to 2 significant figures)

480V

A conducting rod of length 25cm is placed on a U-shaped metal wire that is connected to a lightbulb having a resistance of 8 ohms, as shown in the figure. The wire and the rod are in the plane of the page. A constant uniform magnetic field of strength 0.40T is applied perpendicular to and into the paper. An applied external force pulls the rode to the right with a constant speed of 6m/s. What is the magnitude of the emf induced in the rod? (round to 2 significant figures)

0.60V

Light having a speed in vacuum of 3.0 × 10^8 m/s enters a liquid of refraction index 2.0. In this liquid, its speed will be ____. (round to 2 significant figures)

1.5 × 10^8 m/s

A thin beam of light enters a thick plastic sheet from air at an angle of 32 degrees with the normal and continues in the sheet at an angle of 23 degrees with the normal. What is the index of refraction of the plastic? (round to 3 significant figures)

1.36

A beam of light in air enters a glass slab with an index of refraction of 1.70 at an angle of incidence of 30 degrees. What is the angle of refraction? (round to 3 significant figures)

17.1 degrees

Lucite has an index of refraction of 1.50. What is its critical angle if it is in air? (round to 3 significant figures)

41.8 degrees

When an object is 15cm in front of a concave mirror, the image is 5cm in front of the mirror. What is the focal length of the mirror? (round to 2 significant figures)

3.8cm

An object that is 3cm tall is placed at the center of curvature in front of a concave mirror. How tall is its image? (round to 2 significant figures)

3.0cm

A convex spherical mirror has a focal length of magnitude 20cm. If an object is placed 10cm in front of the mirror on the mirror’s axis, where is the image located? (round to 2 significant figures)

6.7cm behind the mirror

A toy is 14cm in front of a convex spherical mirror. If the image of the toy is 5.8cm behind the mirror, what is the focal length of the mirror? (round to 2 significant figures)

-9.9cm

A cell phone is placed 40cm in front of a converging lens with a focal length of magnitude 20cm. How far is the image of this phone from the lens? (round to 2 significant figures)

40cm

An image is 4mm in front of a converging lens with a focal length of magnitude 5mm. Where is the object for this image? (round to 2 significant figures)

2.2mm in front of the lens

A 4cm tall object is placed 50 cm in front of a converging lens with a focal length of 25cm. What are the nature and location of the image? (real/virtual, how tall rounded to 2 sig. figs., distance of image to 2 sig. figs., on what side of lens)

real, 4.0cm tall, 50cm on the other side of the lens

A wrench is placed at 30cm in front of a diverging lens with a focal length of magnitude 10cm. What is the magnification of the wrench? (round to 2 significant figures)

0.25

A 4.0cm tall object is placed 30.0cm from a diverging lens having a focal length of magnitude 15cm. What is the nature and location of the image? (real/virtual, how tall to 2 sig. figs., image distance to 2 sig. figs. on what side)

virtual, 1.3cm tall, 10cm on the same side as the object

What is the power of the lens that has a focal length of 40cm and a diameter of 5.0cm?

a) +20 diopters

b) -2.5 diopters

c) +0.20 diopters

d) +2.7 diopters

e) +2.5 diopters

+2.5 diopters

The focal length of the objective lens of a telescope is 75cm, and the eyepiece has a focal length of 6cm. What is the magnification of this telescope? (round to 3 significant figures)

12.5