A) \[\sqrt{{{w}_{1}}{{w}_{2}}}\]
B) \[\frac{{{w}_{1}}+{{w}_{2}}}{2}\]
C) \[\left( \frac{{{w}_{1}}^{2}+{{w}_{2}}^{2}}{2} \right)\]
D) \[\sqrt{{{w}_{1}}^{2}+{{w}^{2}}_{2}}\]
Correct Answer: B
Solution :
\[(x+w)l=(y+{{w}_{1}})l\] \[\therefore \] \[x+w=y+{{w}_{1}}\] ? (i) and \[x+{{w}_{2}}=y+w\] ? (ii) Substracting equation (ii) from (i), we get \[\therefore \] \[w-{{w}_{2}}={{w}_{1}}-w\] \[\Rightarrow \] \[w=\frac{1}{2}({{w}_{1}}+{{w}_{2}})\]You need to login to perform this action.
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