AIPMT 2010 Physics and Chemistry Paper

A mass M is suspended from a massless spring of spring constant k as shown in figure (a). Then, Time period of oscillation is
T=2π√‌

M

k

........... (i) When a another mass M is also suspended with it as shown in figure (b). Then,
Time period of oscillation is T′=2π√‌

M+M

k

=2π√‌

2M

k

=√2(2π√‌

M

k

)=√2T  (Using (i))