A) \[2\pi \sqrt{\frac{m}{2k}}\]
B) \[2\pi \sqrt{\frac{2m}{k}}\]
C) \[2\pi \sqrt{\frac{m}{4k}}\]
D) \[2\pi \sqrt{\frac{4m}{k}}\]
Correct Answer: B
Solution :
Let \[{{W}_{B}}=\] are the deformations in springs having stiffness \[{{M}_{B}}=\] respectively then Suppose, \[{{W}_{A}}=\] \[{{M}_{B}}=\] \[\frac{0.024-{{p}_{S}}}{{{p}_{S}}}=\frac{68.4}{342}\times \frac{18}{1000}\] \[\therefore \] \[{{p}_{S}}=0.0239\,atm\] If \[\Delta {{T}_{f}}={{K}_{f}}m\] \[=1.86\times \frac{68.4}{342}\times \frac{1}{1}\] \[\therefore \] then \[=0-{{(0.372)}^{o}}C=-{{0.372}^{o}}C\] \[\pi =\frac{n}{V}RT\] \[=\frac{{{W}_{B}}}{{{M}_{B}}}\times \frac{RT}{V}\] \[=\frac{68.4}{342}\times \frac{0.0821}{1}\times 298=4.89\,\,\text{atm}\] \[2C{{H}_{3}}CO{{O}^{\odot -}}\xrightarrow{\,}\,2C{{H}_{3}}CO{{O}^{\bullet }}\,+2{{e}^{-}}\] \[2C{{H}_{3}}CO{{O}^{\bullet -}}\xrightarrow{\,}\,2\overset{\bullet }{\mathop{C}}\,{{H}_{3}}+2C{{O}_{2}}\] \[CH_{3}^{\bullet }+\overset{\bullet }{\mathop{C}}\,{{H}_{3}}\xrightarrow{\,}\,C{{H}_{3}}-C{{H}_{3}}(g)\,\] \[C{{O}_{2}}\] \[C{{H}_{3}}-C{{H}_{3}}\]
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