Answer: the first and last one
Explanation: hope i helped out :)
Complete Question
The complete question is shown on the first uploaded image
Answer:
The value of the true strain at the onset of the necking is proved as, ![n = \epsilon_T](https://tex.z-dn.net/?f=n%20%3D%20%5Cepsilon_T)
Explanation:
From the question we see that necking begins when
![\frac{d \sigma_T}{d \epsilon_T} = \sigma_T ---(1)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%20%5Csigma_T%7D%7Bd%20%5Cepsilon_T%7D%20%3D%20%5Csigma_T%20---%281%29)
Now we are told that
![\sigma_T = K \epsilon ^n _T](https://tex.z-dn.net/?f=%5Csigma_T%20%20%3D%20K%20%5Cepsilon%20%5En%20_T)
So substituting this into equation 1
![\frac{d}{d \epsilon_T} (K \epsilon^n_T) = \sigma_T](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bd%20%5Cepsilon_T%7D%20%28K%20%5Cepsilon%5En_T%29%20%20%3D%20%5Csigma_T)
![K n \epsilon^{n-1}_T = \sigma_T](https://tex.z-dn.net/?f=K%20n%20%5Cepsilon%5E%7Bn-1%7D_T%20%3D%20%5Csigma_T)
But we are told in the question that
So,
![K n \epsilon^{n-1}_T = K \epsilon ^n _T](https://tex.z-dn.net/?f=K%20n%20%5Cepsilon%5E%7Bn-1%7D_T%20%3D%20K%20%5Cepsilon%20%5En%20_T)
Dividing both sides with ![K \epsilon ^n _T](https://tex.z-dn.net/?f=K%20%5Cepsilon%20%5En%20_T)
We have
![\frac{K n \epsilon^{n-1}_T}{ K \epsilon ^n _T} =\frac{ K \epsilon ^n _T}{K \epsilon ^n _T}](https://tex.z-dn.net/?f=%5Cfrac%7BK%20n%20%5Cepsilon%5E%7Bn-1%7D_T%7D%7B%20K%20%5Cepsilon%20%5En%20_T%7D%20%20%3D%5Cfrac%7B%20%20K%20%5Cepsilon%20%5En%20_T%7D%7BK%20%5Cepsilon%20%5En%20_T%7D)
![n \epsilon_T^{-1} =1](https://tex.z-dn.net/?f=n%20%5Cepsilon_T%5E%7B-1%7D%20%3D1)
![n = \epsilon_T](https://tex.z-dn.net/?f=n%20%3D%20%5Cepsilon_T)
Explanation:
Since the bottle of water was inside the refrigerator, it is cooler than the air outside the refrigerator.
There is water vapour in the air which gets cooled by the bottle and changes state from gas to liquid and settles on the bottle.
Answer:
soil additive
Explanation:
Soil Additive
The three main components of humus are fulvic acid, humic acid and humin. The spongy nature of humus helps it to trap and hold water, this particular property also helps to aerate the soil as humus expands and contracts with available water.