There are four springs stretched by the same mass. spring a stretches 25 cm. spring b stretches
10 cm. spring c stretches 100 cm. spring d stretches 1 cm.
which spring has the smallest spring constant?
a
b
c
d

Spring C

Explanation:

According to Hooke's law, a force require to compress or extend a spring is directly proportional to the distance from its mean position.

The force of compression or expansion of the spring is given by the formula,

                                      F = k x

Where,

                   k - spring constant. It is the constant value of the particular spring

                   x - distance of expansion or compression from mean position.

The x value of different spring,

                    A = 25 cm

                     B = 10 cm

                     C = 100 cm

                     D = 1 cm

The highest value of x for the same mass has the smallest spring constant according to the equation.

Hence, C has the smallest spring constant.