A) \[{{({{\alpha }_{c}}-{{\alpha }_{b}})}^{-1}}\]
B) \[\frac{{{\alpha }_{b}}}{{{\alpha }_{c}}}\]
C) \[\frac{{{\alpha }_{b}}\times {{\alpha }_{c}}}{{{\alpha }_{b}}+{{\alpha }_{c}}}\]
D) \[({{\alpha }_{c}}-{{\alpha }_{b}})\]
Correct Answer: A
Solution :
\[(R+r)\theta ={{\ell }_{0}}(1+{{\alpha }_{c}}\Delta t)\] \[(R-r)\theta ={{\ell }_{0}}(1+{{\alpha }_{b}}\Delta t)\] \[\frac{R+r}{R-r}=\frac{1+{{\alpha }_{c}}\Delta t}{1+{{\alpha }_{b}}\Delta t}\] Solving for R we get \[R\propto \frac{1}{\Delta t({{\alpha }_{c}}-{{\alpha }_{b}})}\]You need to login to perform this action.
You will be redirected in
3 sec