13. [2pt] Consider a simple harmonic oscillator made of a mass sliding on a fric

Question

13. [2pt] Consider a simple harmonic oscillator made of a mass sliding on a frictionless surface, and attached to a massless linear spring. Which of the following statements are true? (If A and E ane and the others are not, enter TFFFT). A) Doubling the amplitude will double the period B) Quadrupling the spring constant will halve the period C) Doubling the amplitude will not change the period. D) Tripling the mass will sextuple the period. E) Quadrupling the mass will double the period. Answer: Incorrect, tries 3/10 Submit All Answers Last Answer: FFFFF

Explanation / Answer

We know that the period of smiple harmonic oscillator is given by:

t = 2 pi sqrt (m/k)

A)F

Since, its independent of amplitude

B)T

since, T proportional to 1/sqrt(K)

C)T

Since, its independent of amplitude.

D)F

Tripling the mass will make the period (3)^1/2 times

E)T

since T proportional to sqrt(m)

So final Ans is:

Ans : FTTFT

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