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