Q: A microscope uses two lenses: an objective lens with focal length $$2\ \text{cm}$$ and an eyepiece with focal length $$5\ \text{cm}. If $$the distance between the lenses is $$20\ \text{cm}$$, what is the angular magnification of the microscope?

$$M = \dfrac{20}{2} \times \dfrac{25}{5} = 50$$

Q: A single-slit diffraction experiment uses light of wavelength $$\lambda = 500\ \text{nm}$$ and a slit width $$a = 0.1\ \text{mm}. At $$what angle $$\theta$$ will the first minimum occur?

$$\sin\theta = \dfrac{\lambda}{a}$$

Q: A resistor of $$10\ \Omega is $$connected in series with a $$20\ \Omega$$ resistor and a $$12\ \text{V}$$ battery. What is the current in the circuit?

$$I = \dfrac{12}{10 + 20} = 0.4\ \text{A}$$

Q: A diffraction grating has $$5000$$ lines per centimeter. What is the grating spacing $$d$$?

$$d = \dfrac{1}{5000}\ \text{cm}$$

Question 1

A ray of light strikes a plane mirror at an angle of incidence of $$30^\	ext{o}. $$What is the angle between the incident ray and the reflected ray?

Accepted Answer

$$60^\	ext{o}$$

Question 2

A converging lens forms a real image of an object placed $$30\ 	ext{cm}$$ from the lens. If the image is formed $$60\ 	ext{cm} on $$the other side of the lens, what is the focal length of the lens?

Accepted Answer

$$f = 20\ 	ext{cm}$$

Question 3

Which of the following best describes the image formed by a convex mirror?

Accepted Answer

Virtual, upright, and smaller than the object

Question 4

A microscope uses two lenses: an objective lens with focal length $$2\ 	ext{cm}$$ and an eyepiece with focal length $$5\ 	ext{cm}. If $$the distance between the lenses is $$20\ 	ext{cm}$$, what is the angular magnification of the microscope?

Accepted Answer

$$M = \dfrac{20}{2} 	imes \dfrac{25}{5} = 50$$

Question 5

A single-slit diffraction experiment uses light of wavelength $$\lambda = 500\ 	ext{nm}$$ and a slit width $$a = 0.1\ 	ext{mm}. At $$what angle $$	heta$$ will the first minimum occur?

Accepted Answer

$$\sin	heta = \dfrac{\lambda}{a}$$

Question 6

A ray of light passes from air ($$n_1 = 1.00$) into water (n_2$ = 1.33) at an $$angle of $$45^\	ext{o} to $$the normal. What is the angle of refraction in the water?

Accepted Answer

$$n_1$$ \sin\$$theta_1$$ = $$n_2$$ \sin\$$theta_2$$

Question 7

Which of the following statements about the electric field produced by a point charge $$q is $$correct?

Accepted Answer

The electric field at a distance $$r is$$ $$E = \dfrac{1}{4\pi\$$epsilon_0$$} \dfrac{q}{r^2$}.$$

Question 8

A parallel plate capacitor is connected to a $$12\ 	ext{V}$$ battery. If the plate separation is doubled while the battery remains connected, what happens to the capacitance and the charge stored?

Accepted Answer

Capacitance halves, charge halves

Question 9

A resistor of $$10\ \Omega is $$connected in series with a $$20\ \Omega$$ resistor and a $$12\ 	ext{V}$$ battery. What is the current in the circuit?

Accepted Answer

$$I = \dfrac{12}{10 + 20} = 0.4\ 	ext{A}$$

Question 10

Which of the following best describes the relationship between electric current and voltage in a conductor according to Ohm's Law?

Accepted Answer

$$V = I \cdot R$$

Question 11

A student uses a magnifying glass (convex lens) with a focal length of $$8\ 	ext{cm} to $$view an object. If the object is placed $$6\ 	ext{cm}$$ from the lens, what is the nature of the image?

Accepted Answer

Virtual, upright, and larger than the object

Question 12

A diffraction grating has $$5000$$ lines per centimeter. What is the grating spacing $$d$$?

Accepted Answer

$$d = \dfrac{1}{5000}\ 	ext{cm}$$

Question 13

A ray of light in glass ($$n = 1.5) $$strikes the glass-air interface at an angle greater than the critical angle. What phenomenon occurs?

Accepted Answer

Total internal reflection

Question 14

A charged particle moves perpendicular to a uniform magnetic field. What is the path of the particle?

Accepted Answer

Circular

Question 15

Which of the following is true about the image formed by a concave mirror when the object is placed between the focal point and the mirror?

Accepted Answer

The image is virtual, upright, and larger than the object

Question 16

A $$5\ \mu	ext{C}$$ point charge is placed $$0.2\ 	ext{m}$$ from another $$-3\ \mu	ext{C}$$ point charge. What is the magnitude of the force between them?

Accepted Answer

$$F = \dfrac{1}{4\pi\$$epsilon_0$$} \dfrac{|q_1$ q_2$|}{r^2$}$$

Question 17

A student observes that the intensity of light passing through two polarizing filters is reduced to zero. What is the angle between the transmission axes of the filters?

Accepted Answer

$$90^\	ext{o}$$

Question 18

A ray of light passes through a prism and is deviated by $$25^\	ext{o}. If $$the angle of the prism is $$60^\	ext{o}$$ and the refractive index is $$1.5$$, which formula relates the minimum deviation to the prism angle and refractive index?

Accepted Answer

$$n = \dfrac{\sin\left(\dfrac{A + D_m}{2}\right)}{\sin\left(\dfrac{A}{2}\right)}$$

Question 19

A $$100\ \Omega$$ resistor and a $$200\ \Omega$$ resistor are connected in parallel across a $$12\ 	ext{V}$$ battery. What is the total current supplied by the battery?

Accepted Answer

$$I = \dfrac{V}{R_{eq}}$$, where $$R_{eq} = \dfrac{100 	imes 200}{100 + 200}$$

PHYS 1212: Physics for Scientists and Engineers II – Syllabus and Study Guide

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