Download Physics 103 Midterm 2 Formula Sheet

Physics 103
Midterm 2 Formula Sheet
Conversions:
 1 mile = 5280 feet = 1609.344 meters
 1 meter = 3.281 feet = 39.37 inches
 360 degrees = 2 radians
 Fahrenheit to Celsius:
= ( − 32)
 Kelvin to Celsius:
=
− 273.15
Constants:
 Speed of light in vacuum: = 3.0 × 10
/
 Speed of sound in air at 20 ℃: = 343 /
 Density of liquid water: = 1000 /
 Index of refraction of air: = 1.00
 Index of refraction of water: = 1.33
 Index of refraction of crown glass: = 1.52
Mathematics:
 Circle – Circumference: = 2
 Circle – Area: =
 Sphere – Surface Area: = 4
 Sphere – Volume: =
 sin
±
= cos( )
 cos
±
= ∓ sin( )
 sin + cos
=1
 sin( + ) = sin cos + sin cos
 cos( + ) = cos cos − sin sin
 sin
+
sin
= 2 sin
=
 Quadratic formula:
cos
±√
Physics:
 Period, frequency, and angular frequency:
=
=
,
=
=
,
 Wavelength and wave number:
=
,
 ( , )=
 = /
 = /
=
sin(
±
+ )
=
=2
 =
 sin = sin

= arcsin( / )
 Mirror:
=
,
+ =
>0
<0
,
 Lens:
=
−1
−
>0 ,
 Refracting surface:
=
,
+
<0
=
>0 ,
≡

+ =
,
<0
=−
 Optical power: = 1/
 Conditions for constructive interference:
ΔΦ = ±2
(where = 0, 1, 2, ⋯)
Δ =±
sin = ±
 Conditions for destructive interference:
ΔΦ = ±(2 − 1 ) (where = 1, 2, ⋯)
(2 − 1 )
Δ =±
2
(2 − 1 )
sin = ±
2
 For slits of width and separation :
≈
1 sin
sin
sin
sin
sin
sin
 Interference minima:
sin
=±
 Diffraction minima: sin = ±
 Primary maxima: sin = ±
 =
 =

cos
. = arctan(
/
sin
)