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 .

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

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

hence, the correct option is d.

the temperature and the pressure affect solubility. temperature affects by changing the properties of the solvent. the increase in pressure increases solubility, the decrease in pressure decreases solubility.