An observer sitting in between two vertical walls claps 10 times per second. He is 17 m away from one of the wall and his first clap coincides with the echo then Calculate the velocity of sound.
please answer it's really Urgent. Please help.
Answers
- Q.An observer sitting in between two vertical walls claps 10 times per second. He is 17 m away from one of the wall and his first clap coincides with the echo then Calculate the velocity of sound ??
- The frequency of the claps is 10Hz.
- The distance taken here is 2 × 17 = 34metre. ( as it is reflected back or echo ).
- The velocity of the sound = ??
Answer:
\rm\red{\underline{\underline{✧ Question :- }}}
✧Question:−
Q.An observer sitting in between two vertical walls claps 10 times per second. He is 17 m away from one of the wall and his first clap coincides with the echo then Calculate the velocity of sound ??
\rm\blue{\underline{\underline{✧ Given :- }}}
✧Given:−
The frequency of the claps is 10Hz.
The distance taken here is 2 × 17 = 34metre. ( as it is reflected back or echo ).
\rm\orange{\underline{\underline{✧ To \: find :- }}}
✧Tofind:−
The velocity of the sound = ??
\rm\green{\underline{\underline{✧ Let's \:Solve :- }}}
✧Let
′
sSolve:−
\begin{gathered}\bf{ We \: know \: that \: time \: taken \: is} \\ \bf { \: the \: inverse \: of \: frequency.} \\ \bf{ \therefore} {The \: time \: taken \: is : - \: } \\ { \therefore\{t \: = \frac{1}{f} = \frac{1}{10} = 0.1 \: seconds} \\ \bf \:\purple {Now, \: velocity \: or\: speed \: of \:the \: sound : - } \\ \: =\blue{ \frac{total \: \: distance \: \: travelled(m)}\orange{total \: \: time \: \: taken (s)} } \\ \tt \: = \frac{34 \: m}{0.1 \: s}= 340m/s \\ \bf{ \therefore}the \: speed \: of \: the \: sound \: is \: 340m/s.\end{gathered}
Weknowthattimetakenis
theinverseoffrequency.
∴Thetimetakenis:−
∴{t=
f
1
=
10
1
=0.1seconds
Now,velocityorspeedofthesound:−
=
totaltimetaken(s)
totaldistancetravelled(m)
=
0.1s
34m
=340m/s
∴thespeedofthesoundis340m/s.