Answer:
![1.9\times 10^{-4}](https://tex.z-dn.net/?f=1.9%5Ctimes%2010%5E%7B-4%7D)
![1.2\times 10^{-4}\ m](https://tex.z-dn.net/?f=1.2%5Ctimes%2010%5E%7B-4%7D%5C%20m)
Explanation:
r = Radius = 2.7 cm
F = Force = ![3.2\times 10^4\ N](https://tex.z-dn.net/?f=3.2%5Ctimes%2010%5E4%5C%20N)
A = Area = ![\pi r^2](https://tex.z-dn.net/?f=%5Cpi%20r%5E2)
= Stress = ![\frac{F}{A}](https://tex.z-dn.net/?f=%5Cfrac%7BF%7D%7BA%7D)
E = Young's modulus = ![7\times 10^{10}\ Pa](https://tex.z-dn.net/?f=7%5Ctimes%2010%5E%7B10%7D%5C%20Pa)
= Strain
= Original length = 67 cm
= Change in length
Young's modulus is given by
![E=\frac{\sigma}{\epsilon}\\\Rightarrow \epsilon=\frac{\sigma}{E}\\\Rightarrow \epsilon=\frac{\frac{3.2\times 10^4}{\pi 0.027^2}}{7\times 10^{10}}\\\Rightarrow \epsilon=0.0001996=1.9\times 10^{-4}](https://tex.z-dn.net/?f=E%3D%5Cfrac%7B%5Csigma%7D%7B%5Cepsilon%7D%5C%5C%5CRightarrow%20%5Cepsilon%3D%5Cfrac%7B%5Csigma%7D%7BE%7D%5C%5C%5CRightarrow%20%5Cepsilon%3D%5Cfrac%7B%5Cfrac%7B3.2%5Ctimes%2010%5E4%7D%7B%5Cpi%200.027%5E2%7D%7D%7B7%5Ctimes%2010%5E%7B10%7D%7D%5C%5C%5CRightarrow%20%5Cepsilon%3D0.0001996%3D1.9%5Ctimes%2010%5E%7B-4%7D)
Strain is ![1.9\times 10^{-4}](https://tex.z-dn.net/?f=1.9%5Ctimes%2010%5E%7B-4%7D)
Strain is given by
![\epsilon=\frac{\Delta L}{L_0}\\\Rightarrow \Delta L=\epsilon\times L_0\\\Rightarrow \Delta L=1.9\times 10^{-4}\times 0.67\\\Rightarrow \Delta L=0.0001273\\\Rightarrow \Delta L=1.2\times 10^{-4}\ m](https://tex.z-dn.net/?f=%5Cepsilon%3D%5Cfrac%7B%5CDelta%20L%7D%7BL_0%7D%5C%5C%5CRightarrow%20%5CDelta%20L%3D%5Cepsilon%5Ctimes%20L_0%5C%5C%5CRightarrow%20%5CDelta%20L%3D1.9%5Ctimes%2010%5E%7B-4%7D%5Ctimes%200.67%5C%5C%5CRightarrow%20%5CDelta%20L%3D0.0001273%5C%5C%5CRightarrow%20%5CDelta%20L%3D1.2%5Ctimes%2010%5E%7B-4%7D%5C%20m)
The cylinder height decreases by ![1.2\times 10^{-4}\ m](https://tex.z-dn.net/?f=1.2%5Ctimes%2010%5E%7B-4%7D%5C%20m)
Answer:
1⁺ ion
Explanation:
Metals in the first group on the periodic table will prefer to form 1⁺ ion. This is because the 1 valence electron in their orbital.
Most metals are electropositive and would prefer to lose electrons than to gain it.
Like all metals, the group 1 elements called the alkali metals would prefer to lose and electron.
On losing an electron the number of protons is then greater than the number of electrons. This leaves a net positive charge.
<u>Answer:</u>
<em>The average speed of the car is 66.9 km/h</em>
<u>Explanation:</u>
Here distance covered with the speed <em>57 km/h=7 km </em>
distance covered with the speed of <em>81 km/h=7 km</em>
<em>Average speed is equal to the ratio of total distance to the total time.
</em>
<em>total distance= 7 + 7= 14 km </em>
<em>
</em>
<em>time taken to cover the first 7 km= 7/57 h </em>
<em>time taken to cover the second part of the journey = 7/81 h
</em>
<em>average speed =
</em>
<u><em>Shortcut:
</em></u>
<em>When equal distances are covered with different speeds average speed=2 ab/(a+b) where a and b are the variable speeds in the phases.
</em>
1) 211m/s
2)240<span>°
3)759,600m or 759.6 km</span>
From the measured wavelength from diagram, the frequency of the sound is 6660 Hz.
<h3>What is the frequency of a wave?</h3>
The frequency of a wave is the number of complete oscillation per second completed by a wave.
Frequency is related to wavelength and speed by the following formula:
- Frequency = velocity/wavelength
Velocity of sound in air = 330 m/s
The measured wavelength = 5.0 cm = 0.05 m
Frequency = 330/0.05 = 6660 Hz
Therefore, based on the measured wavelength from diagram, the frequency of the sound is 6660 Hz.
Learn more about frequency of sound at: https://brainly.in/question/15373132
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