Manipal Entrance Test 2016 Physics Paper

The frequency of oscillation of a vibrating spring-block, system is given by
v=

1

2π

√

keff

M

...(i)
Since, the springs are attached in series, each having spring constant k, so we have

1

keff

=

1

k

+

1

k

=

2

k

⇒

1

keff

=

k

2

From Eq. (i), we get
v=

1

2π

√

keff

M

=

1

2π

√

k

2M