Question

Two identical spring of constant K are connected in series and parallel as shown in figure. A mass m is suspended from them. The ratio of their frequencies of vertical oscillations will be

• A. 2 : 1
• B. 1 : 1
• C. 1 : 2
• D. 4 : 1

Answer 1

Answer: (C)

1 : 2

Answer 2

$n = \frac { 1 } { 2 \pi } \sqrt { \frac { k } { m } }$ ⇒ $\frac { n _ { S } } { n _ { P } } = \sqrt { \frac { k _ { S } } { k _ { P } } }$ $\Rightarrow$ $\frac { n _ { s } } { n _ { p } } = \sqrt { \frac { \left( \frac { k } { 2 } \right) } { 2 k } } = \frac { 1 } { 2 }$