A) 306 m/s
B) 331 m/s
C) 340 m/s
D) 360 m/s
Correct Answer: A
Solution :
| Number of beats = 12/s |
| \[{{n}_{1}}-{{n}_{2}}=12\] |
| or \[\frac{v}{{{\lambda }_{1}}}-\frac{v}{{{\lambda }_{2}}}=12\] |
| or \[v\,\left( \frac{{{\lambda }_{2}}-{{\lambda }_{1}}}{{{\lambda }_{1}}{{\lambda }_{2}}} \right)=12\] |
| or \[v=\frac{12{{\lambda }_{1}}\,{{\lambda }_{2}}}{{{\lambda }_{2}}-\,{{\lambda }_{1}}}\] |
| Given \[{{\lambda }_{1}}=50\,cm=0.50\,m\] |
| \[{{\lambda }_{2}}=51\,cm=0.51\,m\] |
| \[\therefore \] \[v=\text{speed}\,\text{of}\,\text{sound}\] |
| \[=\frac{12\times 0.50\times 0.51}{(0.51-0.50)}\] |
| \[=\frac{12\times 0.50\times 0.51}{0.01}=306\,m/s\] |
| Thus, speed of sound is 306 m/s. |
You need to login to perform this action.
You will be redirected in
3 sec
