A) \[\frac{({{n}_{2}}{{l}_{2}}-{{n}_{1}}{{l}_{1}})}{({{l}_{1}}-{{l}_{2}})}\]
B) \[\frac{({{n}_{1}}-{{n}_{2}})}{({{l}_{1}}-{{l}_{2}})}\]
C) \[\frac{({{n}_{2}}-{{n}_{1}})}{({{l}_{1}}-{{l}_{2}})}\]
D) \[\frac{({{n}_{1}}{{l}_{1}}-{{n}_{2}}{{l}_{2}})}{({{l}_{1}}-{{l}_{2}})}\]
Correct Answer: B
Solution :
let string constant K & natural length \[\ell \] \[So\,\,{{n}_{1}}=\,\,K({{\ell }_{1}}-\ell )\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,.....(i)\] \[{{n}_{2}}=\,\,K({{\ell }_{2}}-\ell )\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,.....(ii)\] By solving \[K=\frac{{{n}_{1}}+{{n}_{2}}}{{{\ell }_{1}}-{{\ell }_{2}}}\]You need to login to perform this action.
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