A) 24 N
B) 36 N
C) 64 N
D) 81 N
Correct Answer: D
Solution :
For waves along a string: \[\upsilon \,\alpha \,\sqrt{T}\] |
\[\Rightarrow \] \[\lambda \,\alpha \,\sqrt{T}\] |
Now, for 6 loops: \[3{{\lambda }_{1}}=L\] \[\Rightarrow \] \[{{\lambda }_{1}}=L/3\] |
& for 4 loops: \[2{{\lambda }_{2}}=L\]\[\Rightarrow \] \[{{\lambda }_{2}}=L/2\] |
\[\Rightarrow \] \[\frac{{{\lambda }_{1}}}{{{\lambda }_{1}}}=\frac{2}{3}\] |
\[\Rightarrow \] \[{{T}_{2}}=\frac{9}{4}\times {{T}_{1}}=\frac{9}{4}\times 36\] |
\[\Rightarrow \] 81 N. |
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