A) \[{{l}_{s}}=0.75\,cm,\,{{l}_{c}}=1.25\,cm\]
B) \[{{l}_{s}}=1.25\,cm,\,{{l}_{c}}=0.75\,cm\]
C) \[{{l}_{s}}=0.25\,cm,\,{{l}_{c}}=0.75\,cm\]
D) \[{{l}_{s}}=0.75\,cm,\,{{l}_{c}}=0.25\,cm\]
Correct Answer: A
Solution :
[a] \[l\propto \frac{1}{Y}\Rightarrow \frac{{{Y}_{s}}}{{{Y}_{c}}}=\frac{{{l}_{c}}}{{{l}_{s}}}\Rightarrow \frac{{{l}_{c}}}{{{l}_{s}}}=\frac{2\times {{10}^{11}}}{1.2\times {{10}^{11}}}=\frac{5}{3}\](i) Also \[{{l}_{c}}-{{l}_{s}}=0.5\] (ii) On solving (i) and (ii), we get \[{{l}_{c}}=0.5\]cm and \[{{l}_{s}}=0.75\]cmYou need to login to perform this action.
You will be redirected in
3 sec