Question

Five identical springs are used in the following three configurations. The time periods of vertical oscillations in configurations (i), (ii) and (iii) are in the ratio

• A. $1 : \sqrt { 2 } : \frac { 1 } { \sqrt { 2 } }$
• B. $2 : \sqrt { 2 } : \frac { 1 } { \sqrt { 2 } }$
• C. $\frac { 1 } { \sqrt { 2 } } : 2 : 1$
• D. $2 : \frac { 1 } { \sqrt { 2 } } : 1$

Answer 1

Answer: (A)

$1 : \sqrt { 2 } : \frac { 1 } { \sqrt { 2 } }$

Answer 2

$T \propto \frac { 1 } { \sqrt { k } }$ ⇒ $T _ { 1 } : T _ { 2 } : T _ { 3 } = \frac { 1 } { \sqrt { k } } : \frac { 1 } { \sqrt { k / 2 } } : \frac { 1 } { \sqrt { 2 k } } = 1 : \sqrt { 2 } : \frac { 1 } { \sqrt { 2 } }$