Converting Wavelength to Nanometers

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AI Thread Summary
To convert a frequency of 2.8 x 10^14 Hz into wavelength in nanometers, the formula λ = c/f is used, where c is the speed of light (approximately 3 x 10^8 m/s). By applying the formula, the wavelength is calculated as λ = 3 x 10^8 m/s / 2.8 x 10^14 Hz, resulting in a wavelength of approximately 1.07 x 10^-6 m or 1070 nm. The discussion highlights confusion regarding the conversion process, particularly in determining the correct format for the answer. The final result should be expressed in three significant figures as 1070 nm. This demonstrates the importance of correctly applying the wavelength-frequency relationship in physics.
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Homework Statement



i just need to convert 2.8*1014 into nano meters


Homework Equations



\lambda = v / f



The Attempt at a Solution



\lambda = v / f

\lambda = 2.0*108 / 700*10-9 (nanometers)

\lambda = 2.8*1014

i am backwards on my conversion, i am horrible at it.

is it:

A - 2.80000000 nm

or

B - .00000028 nm

it wants my answer to three sig fig's
 
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I'm guessing it's a frequency of 2.8^14 hz the OP wants to convert into a wavelegnth.

wavelength * frequency = speed.
so wavelength = c/f = 3e8 m/s / 2.8E14 /s = 1.07e-6m = 1070 e-9m
 
yes that got the first problem correct.

thanks
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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