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.