Answer:
C. Quadruple the intensity
Explanation:
The intensity of the sound is proportional to square of amplitude of the sound.
I ∝ A²
![\frac{I_1}{A_1^2} = \frac{I_2}{A_2^2}\\\\I_2 = \frac{I_1A_2^2}{A_1^2}](https://tex.z-dn.net/?f=%5Cfrac%7BI_1%7D%7BA_1%5E2%7D%20%3D%20%5Cfrac%7BI_2%7D%7BA_2%5E2%7D%5C%5C%5C%5CI_2%20%3D%20%5Cfrac%7BI_1A_2%5E2%7D%7BA_1%5E2%7D)
When the given sound is twice loud as the initial value, then the new amplitude is twice the former.
A₂ = 2A₁
![I_2 = \frac{I_1A_2^2}{A_1^2} \\\\I_2 = \frac{I_1(2A_1)^2}{A_1^2} \\\\I_2 = \frac{4I_1A_1^2}{A_1^2}\\\\ I_2 = 4I_1](https://tex.z-dn.net/?f=I_2%20%3D%20%5Cfrac%7BI_1A_2%5E2%7D%7BA_1%5E2%7D%20%5C%5C%5C%5CI_2%20%3D%20%5Cfrac%7BI_1%282A_1%29%5E2%7D%7BA_1%5E2%7D%20%5C%5C%5C%5CI_2%20%3D%20%5Cfrac%7B4I_1A_1%5E2%7D%7BA_1%5E2%7D%5C%5C%5C%5C%20I_2%20%3D%204I_1)
Thus, to make a given sound seem twice as loud, the musician should Quadruple the intensity
Polyunsaturated fatty acids which is Omega-3 fatty acids.
Answer:
Time period of the osculation will be 0.0671 sec
Explanation:
It is given a vertical spring is stretched by 4 cm
So change in length of the spring x = 4 cm = 0.04 m
Mass which is hung from it m = 12 gram = 0.012 kg
Sprig force will be equal to weight of the mass
So ![kx=mg](https://tex.z-dn.net/?f=kx%3Dmg)
![k\times 0.04=0.012\times 9.8](https://tex.z-dn.net/?f=k%5Ctimes%200.04%3D0.012%5Ctimes%209.8)
k = 244.7 N/m
Now new mass is m = 28 gram = 0.028 kg
So time period with new mass will be
![T=2\pi \sqrt{\frac{m}{k}}](https://tex.z-dn.net/?f=T%3D2%5Cpi%20%5Csqrt%7B%5Cfrac%7Bm%7D%7Bk%7D%7D)
![=2\times 3.14 \sqrt{\frac{0.028}{244.7}}=0.0671sec](https://tex.z-dn.net/?f=%3D2%5Ctimes%203.14%20%5Csqrt%7B%5Cfrac%7B0.028%7D%7B244.7%7D%7D%3D0.0671sec)
Answer:
-![29.2\times 10^{3} N](https://tex.z-dn.net/?f=29.2%5Ctimes%2010%5E%7B3%7D%20N)
Explanation:
We are given that
Mass of cars= m=1900 kg
Initial speed of car=u=20 m/s
Final speed of car=v=0
Time=
=1.3 s
We have to find the average force exerted on the car.
Average force=![\frac{change\;in\;momentum}{\Delta t}](https://tex.z-dn.net/?f=%5Cfrac%7Bchange%5C%3Bin%5C%3Bmomentum%7D%7B%5CDelta%20t%7D)
![F_{avg}=\frac{mv-mu}{1.3}](https://tex.z-dn.net/?f=F_%7Bavg%7D%3D%5Cfrac%7Bmv-mu%7D%7B1.3%7D)
![F_{avg}=\frac{1900(0)-1900(20)}{1.3}](https://tex.z-dn.net/?f=F_%7Bavg%7D%3D%5Cfrac%7B1900%280%29-1900%2820%29%7D%7B1.3%7D)
![F_{avg}=\frac{-38000}{1.3}=-29.2\times 10^{3} N](https://tex.z-dn.net/?f=F_%7Bavg%7D%3D%5Cfrac%7B-38000%7D%7B1.3%7D%3D-29.2%5Ctimes%2010%5E%7B3%7D%20N)
Hence, the average force exerted on the car that hits a line of water barrels=-![29.2\times 10^{3} N](https://tex.z-dn.net/?f=29.2%5Ctimes%2010%5E%7B3%7D%20N)