The loudness<span> of a sound is linked to the size of the vibration which produces it. A big vibration makes a louder sound. Scientists use the word '</span>amplitude<span>' for the size of waves. For waves on water, it is easy to measure the </span>amplitude<span>.</span>
Answer:
Explanation:
Given
mass of spring ![m=100\ gm](https://tex.z-dn.net/?f=m%3D100%5C%20gm)
extension in spring ![x=5\ cm](https://tex.z-dn.net/?f=x%3D5%5C%20cm)
downward velocity ![v=70\ cm/s](https://tex.z-dn.net/?f=v%3D70%5C%20cm%2Fs)
Position in undamped free vibration is given by
![u(t)=A\cos \omega _0t+B\sin \omega _0t](https://tex.z-dn.net/?f=u%28t%29%3DA%5Ccos%20%5Comega%20_0t%2BB%5Csin%20%5Comega%20_0t)
where ![\omega _0^2=\frac{k}{m}](https://tex.z-dn.net/?f=%5Comega%20_0%5E2%3D%5Cfrac%7Bk%7D%7Bm%7D)
also ![\frac{k}{m}=\frac{g}{L}](https://tex.z-dn.net/?f=%5Cfrac%7Bk%7D%7Bm%7D%3D%5Cfrac%7Bg%7D%7BL%7D)
![\omega _0^2=\frac{k}{m}=\frac{9.8}{0.05}](https://tex.z-dn.net/?f=%5Comega%20_0%5E2%3D%5Cfrac%7Bk%7D%7Bm%7D%3D%5Cfrac%7B9.8%7D%7B0.05%7D)
![\omega _0=14](https://tex.z-dn.net/?f=%5Comega%20_0%3D14)
![u(t)=A\cos(14t)+B\sin(14t)](https://tex.z-dn.net/?f=u%28t%29%3DA%5Ccos%2814t%29%2BB%5Csin%2814t%29)
it is given
![u(0)=0](https://tex.z-dn.net/?f=u%280%29%3D0)
![u'(0)=70\ cm/s](https://tex.z-dn.net/?f=u%27%280%29%3D70%5C%20cm%2Fs)
substituting values we get
![A=0](https://tex.z-dn.net/?f=A%3D0)
![u(t)=B\sin (14t)](https://tex.z-dn.net/?f=u%28t%29%3DB%5Csin%20%2814t%29)
![u'(t)=14B\cos (14t)](https://tex.z-dn.net/?f=u%27%28t%29%3D14B%5Ccos%20%2814t%29)
![70=14B](https://tex.z-dn.net/?f=70%3D14B)
![B=\frac{10}{2}](https://tex.z-dn.net/?f=B%3D%5Cfrac%7B10%7D%7B2%7D)
![B=5](https://tex.z-dn.net/?f=B%3D5)
![u(t)=5\sin (14t)](https://tex.z-dn.net/?f=u%28t%29%3D5%5Csin%20%2814t%29)
An electrical <span>current is </span>caused<span> by </span>flow<span> of free electrons from one atom to another. </span>
Answer:
4 m/s
Explanation:
speed = distance/time
speed= 20/5 = 4
similarly for all no. the answer is constant,i.e. 4
Your answer is C) The speed of sound is higher in solids than in liquids.