Answer:
<h3> b. 1.18</h3>
Explanation:
The fundamental frequency in string is expressed as;
F1 = 1/2L√T/m .... 1
L is the length of the string
T is the tension
m is the mass per unit length
If the tension is increased by 40%, the new tension will be;
T2 = T + 40%T
T2 = T + 0.4T
T2 = 1.4T
The new fundamental frequency will be;
F2 = 1/2L√1.4T/m ..... 2
Divide 1 by 2;
F2/F = (1/2L√1.4T/m)/1/2L√T/m)+
F2/F = √1.4T/m ÷ √T/m
F2/F = √1.4T/√m ×√m/√T
F2/F = √1.4T/√T
F2/F = 1.18√T/√T
F2/F = 1.18
F2 = 1.18F
Hence the fundamental frequency of vibration changes by a factor of 1.18
<span>it either changes the direction of the object or it stops the object in motion.</span>
Answer:
The approximate number of decays this represent is
Explanation:
From the question we are told that
The amount of Radiation received by an average american is ![I_a = 2.28 \ mSv](https://tex.z-dn.net/?f=I_a%20%3D%202.28%20%5C%20mSv)
The source of the radiation is ![S = 5.49 MeV \ alpha \ particle](https://tex.z-dn.net/?f=S%20%3D%205.49%20MeV%20%5C%20alpha%20%5C%20particle)
Generally
![1 \ J/kg = 1000 mSv](https://tex.z-dn.net/?f=1%20%5C%20%20J%2Fkg%20%3D%201000%20mSv)
Therefore ![2.28 \ mSv = \frac{2.28}{1000} = 2.28 *10^{-3} J/kg](https://tex.z-dn.net/?f=2.28%20%5C%20mSv%20%3D%20%5Cfrac%7B2.28%7D%7B1000%7D%20%3D%202.28%20%2A10%5E%7B-3%7D%20J%2Fkg)
Also ![1eV = 1.602 *10^{-19}J](https://tex.z-dn.net/?f=1eV%20%3D%201.602%20%2A10%5E%7B-19%7DJ)
Therefore ![2.28*10^{-3} \frac{J}{kg} = 2.28*10^{-3} \frac{J}{kg} * \frac{1ev}{1.602*10^{-19} J} = 1.43*10^{16} ev/kg](https://tex.z-dn.net/?f=2.28%2A10%5E%7B-3%7D%20%5Cfrac%7BJ%7D%7Bkg%7D%20%3D%202.28%2A10%5E%7B-3%7D%20%5Cfrac%7BJ%7D%7Bkg%7D%20%20%2A%20%5Cfrac%7B1ev%7D%7B1.602%2A10%5E%7B-19%7D%20J%7D%20%3D%201.43%2A10%5E%7B16%7D%20ev%2Fkg)
An Average american weighs 88.7 kg
The total energy received is mathematically evaluated as
![1 kg ------> 1.423*10^{16}ev \\88.7kg --------> x](https://tex.z-dn.net/?f=1%20kg%20------%3E%201.423%2A10%5E%7B16%7Dev%20%5C%5C88.7kg%20%20--------%3E%20x)
Cross-multiplying and making x the subject
![x = 88.7 * 1.423*10^{16} eV](https://tex.z-dn.net/?f=x%20%3D%2088.7%20%2A%201.423%2A10%5E%7B16%7D%20eV)
![x = 126.2*10^{16}eV](https://tex.z-dn.net/?f=x%20%3D%20126.2%2A10%5E%7B16%7DeV)
Therefore the total energy deposited is ![x = 126.2*10^{16}eV](https://tex.z-dn.net/?f=x%20%3D%20126.2%2A10%5E%7B16%7DeV)
The approximate number of decays this represent is mathematically evaluated as
N = ![\frac{x}{S}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7BS%7D)
Where n is the approximate number of decay
Substituting values
Answer:
Explanation:
Since the door that leads to the room is opened, this gives room for particles to move into the next identical room and divided into octants. Now the amount of space that can be occupied becomes double, the number of basic states has increased by 404916