Question

A mass m on a spring with a spring constant k is in simple harmonic motion with a period T. If the same mass is hung from a spring with a spring constant of 3k, the period of the motion will be _______.

Answer 1

Answer:

d) decreased by a factor of the square root of 3

Explanation:

Data provided in the question

Mass = M on a spring

Spring constant = k

Period = T

Spring constant = 3k in the case when the same mass is hung

Based on the above information, the period of the motion is

As we know that

$T = 2\times Pi\times \sqrt{\frac{m}{k}}$

Based on this, there is a decrease by a factor of the square root of 3

hence, the correct option is d.