The wavelength of light is 5000 angstrom. Express it in nm and m.

What, roughly, is the percent uncertainty in the volume of a spherical beach ball whose radius is 5.66 0.09 m?

iren2701 [21]

Answer:

4.77 %

Explanation:

We know that the volume V for a sphere of radius r is

$V(r) = \frac{4}{3} \ \pi \ r^3$

If we got an uncertainty $\Delta r$ the formula for the uncertainty of V is:

$\Delta V(r) = \sqrt{ (\frac{dV}{dr} \Delta r)^2 }$

We can calculate this uncertainty, first we obtain the derivative:

$\frac{dV}{dr} = 3 * \frac{4}{3} \ \pi \ r^2$

$\frac{dV}{dr} = 4 \ \pi \ r^2$

And using it in the formula:

$\Delta V(r) = \sqrt{ (4 \ \pi \ r^2\Delta r)^2 }$

$\Delta V(r) = \sqrt{ 4^2 \ \pi^2 \ r^4 \Delta r^2 }$

$\Delta V(r) = 4 \ \pi \ r^2 \Delta r$

The relative uncertainty is:

$\frac{\Delta V(r)}{V(r)}$

$\frac{ 4 \ \pi \ r^2 \Delta r }{ \frac{4}{3} \ \pi \ r^3}$

$\frac{ 3 \Delta r }{ r}$

Using the values for the problem:

$\frac{ 3 * 0.09 m }{ 5.66 m} = 0.0477$

This is, a percent uncertainty of 4.77 %

4 0

3 years ago

Waste reduction + rationalization of consumption + reuse + recycling / ways of preserving natural resources

forsale [732]

Answer:

Hello your question is vague hence I will provide a general answer on the importance of : Waste reduction, rationalization of consumption, reuse, recycling as ways of preserving the natural resources

answer :

Waste reduction : when we reduce the amount of wastage on items we use especially items produced from natural raw materials we will help preserve the natural resource because they can be used to produce varieties of other items

Reuse and recycling of waste products help keep our natural environment healthy thus preserving our natural resources.

Explanation:

Waste reduction, rationalization of consumption, reuse and recycling are all ways of preserving our natural resources

Waste reduction : when we reduce the amount of wastage on items we use especially items produced from natural raw materials we will help preserve the natural resource because they can be used to produce varieties of other items

Reuse and recycling of waste products help keep our natural environment healthy thus preserving our natural resources.

5 0

3 years ago

Select the correct answer. In a given chemical reaction, the energy of the products is greater than the energy of the reactants.

ioda

B. Energy is released in the reaction... just looked it up!

3 0

3 years ago

How many milliliters are in 1 liter?

posledela

1 litre = 1000 Milliliters is the answer

1 m^3 = 1000 litres