For this lab, will you add mass to the end of the string to make the node to nod

Question

For this lab, will you add mass to the end of the string to make the node to node distance larger or will you reduce the mass on the end of the string?  choose one answer.

(a) You will remove mass from the end of the string.

(b) You will add mass to the end of the string.

Lab topic: Waves on Strings

Purpose: Indirect measurements are frequently needed to get at experimentally inaccessible quantities. Some theory exists that connects the desired quantity to other more easily measured values and so the related values are measured instead. This week we will infer the frequency of an oscillator by measuring resonant properties of a system connected to it.

Explanation / Answer

(b) You will add mass to the end of the string.

we know, node to node distance = lamda/2 (here lamda is wavelength)

wave speed on the string, v = sqrt(T/mue)

here, T = m*g(tension in the string)

mue is linear mass density of the string.

and we know, v = lamda*f

lamda = v/f

so, at constant f lamda is proportional to v

and v is proportional to sqrt(m).

so, as m increases lamda(wavelength) increases.

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