Answer : The temperature when the water and pan reach thermal equilibrium short time later is, ![59.10^oC](https://tex.z-dn.net/?f=59.10%5EoC)
Explanation :
In this problem we assumed that heat given by the hot body is equal to the heat taken by the cold body.
![q_1=-q_2](https://tex.z-dn.net/?f=q_1%3D-q_2)
![m_1\times c_1\times (T_f-T_1)=-m_2\times c_2\times (T_f-T_2)](https://tex.z-dn.net/?f=m_1%5Ctimes%20c_1%5Ctimes%20%28T_f-T_1%29%3D-m_2%5Ctimes%20c_2%5Ctimes%20%28T_f-T_2%29)
where,
= specific heat of aluminium = ![0.90J/g^oC](https://tex.z-dn.net/?f=0.90J%2Fg%5EoC)
= specific heat of water = ![4.184J/g^oC](https://tex.z-dn.net/?f=4.184J%2Fg%5EoC)
= mass of aluminum = 0.500 kg = 500 g
= mass of water = 0.250 kg = 250 g
= final temperature of mixture = ?
= initial temperature of aluminum = ![150^oC](https://tex.z-dn.net/?f=150%5EoC)
= initial temperature of water = ![20^oC](https://tex.z-dn.net/?f=20%5EoC)
Now put all the given values in the above formula, we get:
![500g\times 0.90J/g^oC\times (T_f-150)^oC=-250g\times 4.184J/g^oC\times (T_f-20)^oC](https://tex.z-dn.net/?f=500g%5Ctimes%200.90J%2Fg%5EoC%5Ctimes%20%28T_f-150%29%5EoC%3D-250g%5Ctimes%204.184J%2Fg%5EoC%5Ctimes%20%28T_f-20%29%5EoC)
![T_f=59.10^oC](https://tex.z-dn.net/?f=T_f%3D59.10%5EoC)
Therefore, the temperature when the water and pan reach thermal equilibrium short time later is, ![59.10^oC](https://tex.z-dn.net/?f=59.10%5EoC)
Answer:
These deep-ocean currents are driven by differences in the water's density, which is controlled by temperature (thermo) and salinity (haline). This process is known as thermohaline circulation.
Explanation:
Answer:
t = 3.48 s
Explanation:
The time for the maximum height can be calculated by taking the derivative of height function with respect to time and making it equal to zero:
![h(t) = -16t^2+v_ot+h_o\\\\\frac{dh(t)}{dt}=0=-32t+v_o\\\\v_o = 32t](https://tex.z-dn.net/?f=h%28t%29%20%3D%20-16t%5E2%2Bv_ot%2Bh_o%5C%5C%5C%5C%5Cfrac%7Bdh%28t%29%7D%7Bdt%7D%3D0%3D-32t%2Bv_o%5C%5C%5C%5Cv_o%20%3D%2032t)
where,
v₀ = initial speed = 110 ft/s
Therefore,
![110 = 32t\\\\t = \frac{110}{32}\\\\](https://tex.z-dn.net/?f=110%20%3D%2032t%5C%5C%5C%5Ct%20%3D%20%5Cfrac%7B110%7D%7B32%7D%5C%5C%5C%5C)
<u>t = 3.48 s</u>
Given :
The ball of a ballpoint pen is 0.5 mm in diameter and has an ASTM grain size of 12.
To Find :
How many grains are there in the ball?
Solution :
Volume of ball of the ballpoint is :
![V = \dfrac{4 \pi r^3}{3}\\\\V = \dfrac{4\times 3.14 \times 0.5^3}{3}\ mm^3\\\\V = 0.523\ mm^3](https://tex.z-dn.net/?f=V%20%3D%20%5Cdfrac%7B4%20%5Cpi%20r%5E3%7D%7B3%7D%5C%5C%5C%5CV%20%3D%20%5Cdfrac%7B4%5Ctimes%203.14%20%5Ctimes%200.5%5E3%7D%7B3%7D%5C%20mm%5E3%5C%5C%5C%5CV%20%3D%200.523%5C%20%20mm%5E3)
Now, grain size of 12 has about 520000 grains/mm³.
Therefore, number of grains are :
![n = 520000\times 0.523\ grains\\\\n = 271960\ grains](https://tex.z-dn.net/?f=n%20%3D%20520000%5Ctimes%200.523%5C%20grains%5C%5C%5C%5Cn%20%3D%20271960%5C%20grains)
Answer:
gamma rays < X-ray < ultraviolet ray < visible light < infrared < radio wave
Explanation:
given light form,
A) radio waves,B) infrared,C) visible light,D) ultraviolet,E) X-rays,F) gamma rays
we know,
wavelength of radio wave = 10000 Km
wavelength of infrared = 700 nanometers (nm) to 1 millimeter (mm)
wavelength of visible light = 380 to 740 nm
wavelength of ultraviolet ray = 10 nm to 400 nm
wavelength of X-ray = 0.01 to 10 nm
wavelength of gamma rays = 100 picometer
so, the order of rays.
gamma rays < X-ray < ultraviolet ray < visible light < infrared < radio wave