A block of mass m is suspended by different springs of force constant shown in figure. Let time period of oscillation in these four position be T1, T2, T3 and T4. Then:

Question

A block of mass m is suspended by different springs of force constant shown in figure. Let time period of oscillation in these four position be T1, T2, T3 and T4. Then: <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/96bb3789a180d6fc8698d876b466cd37-.png" /> (A) T1=T2=T4 (B) T1=T2 and T3=T4 (C) T1=T2=T3 (D) T1=T3 and T2=T4

Tardigrade Admin · Accepted Answer

Time period of oscillations for a spring block system is given by 2 π(m / K)1 / 2 where K is the equivalent force constant of the spring system. Here in first and second figure equivalent force constant is only k whereas in third and foruth figure springs are taken in parallel combination because in both springs deformations are always equal on displacing the block so force constant is 4 k

Q. A block of mass $m$ is suspended by different springs of force constant shown in figure. Let time period of oscillation in these four position be $T_{1}, T_{2}, T_{3}$ and $T_{4}$ . Then :

$T_{1} = T_{2} = T_{4}$

$T_{1} = T_{2}$ and $T_{3} = T_{4}$

$T_{1} = T_{2} = T_{3}$

$T_{1} = T_{3}$ and $T_{2} = T_{4}$

Q. A block of mass m is suspended by different springs of force constant shown in figure. Let time period of oscillation in these four position be T1​,T2​,T3​ and T4​. Then :

T1​=T2​=T4​

T1​=T2​ and T3​=T4​

T1​=T2​=T3​

T1​=T3​ and T2​=T4​

Q. A block of mass $m$ is suspended by different springs of force constant shown in figure. Let time period of oscillation in these four position be $T_{1}, T_{2}, T_{3}$ and $T_{4}$ . Then :

$T_{1} = T_{2} = T_{4}$

$T_{1} = T_{2}$ and $T_{3} = T_{4}$

$T_{1} = T_{2} = T_{3}$

$T_{1} = T_{3}$ and $T_{2} = T_{4}$