A) \[{{\left( \frac{11}{10} \right)}^{2}}\]
B) \[{{\left( \frac{9}{10} \right)}^{2}}\]
C) \[\frac{10}{9}\]
D) \[\frac{11}{10}\]
Correct Answer: C
Solution :
Given: Velocity of listener =0 Velocity of source, \[a=\frac{1}{10}\times \upsilon =0.1\,\upsilon \](where \[\upsilon \] is the velocity of sound) From the Doppler's effect the apparent frequency is given by \[n'=\left( \frac{\upsilon }{\upsilon -a} \right)n=\left( \frac{\upsilon }{\upsilon -0.1\,\upsilon } \right)n\] \[\frac{n'}{n}=\frac{10}{9}\]
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