Question

In figure $(A)$, mass ' $2\, m$ ' is fixed on mass ' $m$ ' which is attached to two springs of spring constant $k$ In figure $(B)$, mass ' $m$ ' is attached to two spring of spring constant ' $k$ ' and ' $2\, k$ ' If mass ' $m$ ' in $(A)$ and $(B)$ are displaced by distance ' $x$ ' horizontally and then released, then time period $T_1$ and $T_2$ corresponding to (A) and (B) respectively follow the relation

• A. $\frac{T_1}{T_2}=\frac{3}{\sqrt{2}}$
• B. $\frac{T_1}{T_2}=\sqrt{\frac{3}{2}}$
• C. $\frac{ T _1}{ T _2}=\sqrt{\frac{2}{3}}$
• D. $\frac{ T _1}{ T _2}=\frac{\sqrt{2}}{3}$

Answer 1

Answer: (A)

$\frac{T_1}{T_2}=\frac{3}{\sqrt{2}}$

Answer 2

The correct option is (A)