Question

Two blocks each of mass m are connected with springs each of force constant K as shown in fig. The mass A is displaced to the left & B to the right by the same amount and released then the time period of oscillation is –

• A. 2p $\sqrt { \frac { \mathrm { M } } { \mathrm { K } } }$
• B. 2p $\sqrt { \frac { \mathrm { M } } { 2 \mathrm {~K} } }$
• C. p $\sqrt { \frac { \mathrm { M } } { \mathrm { K } } }$
• D. p $\sqrt { \frac { \mathrm { M } } { 2 \mathrm {~K} } }$

Answer 1

Answer: (C)

p $\sqrt { \frac { \mathrm { M } } { \mathrm { K } } }$

Answer 2

When after come back they collide & after collision the blocks comes to rest as moving with equal velocities in opposite directions, so each mass complete half the oscillation so

T == p