What relationship exists between two variables when their ratio is a constant?

1 answer:

6 0

If two variables (let us say x and y) have ratios that is constant, therefore we can say that the two variables are directly proportional to each other or in other terms they have a direct variation type of relationship. This takes the form:

x / y = k

<span>where k is a constant of proportionality</span>

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Determine the wavelengths for Potassium (violet, λ = 400 nm) and Strontium (red, λ = 700 nm) light emissions. Calculate the freq

TEA [102]

Answer:

For Potassium:

Frequency = 7.5 x 10¹⁴ Hz; E (energy) = 8.83 x 10⁻²¹ J

For Strontium:

Frequency = 4.3 x 0¹⁴ Hz

E (energy) = 2.85 x 10⁻¹⁹ J

Explanation:

Wavelength is represented by λ, and Frequency is represented by ν .

E (energy) = hν = hc/λ, where ν = frequency; c = speed of light = 3 x 10⁸ m/s; 1 s-1 = 1 Hz

h = planck's constant = 6.62 x 10⁻³⁴ J.s; 1 nm = 10⁻⁹ m

1. Potassium λ (wavelength) = 400 nm, Frequency, ν is given by :

ν = c/λ = (3 x 10⁸ m/s) / 400 nm

= (3 x 10⁸ m/s) / 400 x 10⁻⁹ s-1

= 0.0075 x 10¹⁷s-1

= 7.5 x 10¹⁴ s-1

Frequency = 7.5 x 10¹⁴ Hz

E (energy) = hν = (6.62 x 10⁻³⁴ J.s) x (7.5 x 10¹⁴s-1)

E (energy) = 8.83 x 10⁻²¹ J

2. Strontium λ (wavelength) = 700 nm ,Frequency, ν is given by :

ν = c/λ = (3 x 10⁸ m/s) / 700 nm

= (3 x 10⁸ m/s) / 700 x 10⁻⁹s-1

= 0.00428571428 x 10¹⁷s-1

= 4.3 x 10¹⁴ s-1

Frequency = 4.3 x 0¹⁴ Hz

E (energy) = hν = (6.62 x 10⁻³⁴ J.s) x (4.3 x 0¹⁴s-1)

E (energy) = 2.85 x 10⁻¹⁹ J

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3 years ago

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Where might someone with a pharmaceutical manufacturing career work?

klemol [59]

Answer: People with careers in pharmaceutical manufacturing can expect to work in: research laboratories or manufacturing plants, and to maintain work hours during the day.

Explanation:

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3 years ago

In a Rutherford scattering experiment a target nucleus has a diameter of 1.34×10-14 m. The incoming α particle has a mass of 6.6

Rasek [7]

Answer:

E = 2.5 x 10⁻¹⁴ J

Explanation:

given,

diameter = 1.33 x 10⁻¹⁴ m

mass = 6.64 x 10⁻²⁷ kg

wavelength is equal to diameter