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Lelu [443]
3 years ago
15

The water in a lake is at 5 °C. A diver measures the pressure of the water at two different depths in the lake. He repeats the m

easurements on a different day when the water is at 15°C. The density of the water decreases when its temperature increases. Which combination of depth and temperature produces the greatest water pressure?
Physics
1 answer:
Dmitrij [34]3 years ago
3 0

The combination of depth at 10 m and the temperature of 15 °C will produce the greatest water pressure.

Explanation:

The pressure in any liquid is directly proportional to the depth of the water body. This is because, the more the depth, the more the buoyant force will be acting on the liquid surface. So if the water is kept constant at 15 °C, the volume is said to increase with increase in temperature as volume is directly proportional to the temperature. The same goes for pressure, the pressure of liquid increases with increase in temperature. So the combination of depth at 10 m and the temperature of 15 °C will produce the greatest water pressure.

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Answer:

A. 2.82 eV

B. 439nm

C. 59.5 angstroms

Explanation:

A. To calculate the energy of the photon emitted you use the following formula:

E_{n1,n2}=-13.4(\frac{1}{n_2^2}-\frac{1}{n_1^2})     (1)

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Where the energy is electron volts. You replace the values of n1 and n2 in the equation (1):

E_{5,2}=-13.6(\frac{1}{5^2}-\frac{1}{2^2})=2.82eV

B. The energy of the emitted photon is given by the following formula:

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h: Planck's constant = 6.62*10^{-34} kgm^2/s

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λ: wavelength of the photon

You first convert the energy from eV to J:

2.82eV*\frac{1J}{6.242*10^{18}eV}=4.517*10^{-19}J

Next, you use the equation (2) and solve for λ:

\lambda=\frac{hc}{E}=\frac{(6.62*10^{-34} kg m^2/s)(3*10^8m/s)}{4.517*10^{-19}J}=4.39*10^{-7}m=439*10^{-9}m=439nm

C. The radius of the orbit is given by:

r_n=n^2a_o   (3)

where ao is the Bohr's radius = 2.380 Angstroms

You use the equation (3) with n=5:

r_5=5^2(2.380)=59.5

hence, the radius of the atom in its 5-th state is 59.5 anstrongs

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