A guitar string with a linear density of 2.0 g/m is stretched between supports that are 60 cm apart. The string is observed to form a standing wave with three antinodes when driven at a frequency of 420 Hz.
Part A
What is the frequency of the fifth harmonic of this string?
Part B
What is the tension in the string?

(a)

(b)

Explanation:

For part (a)

The wave with three antinodes has m=3.Thus f₃=3f₁ and so the fundamental frequency of string is:

Thus the frequency of fifth harmonic is

For Part (b)

The speed  of transverse wave on this string is related to the fundamental frequency by:

As the speed of wave is related to tension of string and its linear density by:

found in the nucleus

has mass of one amu

emily ruth's annual premium is $1058.50

step-by-step explanation:

emily ruth is a female of 27 years age purchasing 20 year endowment insurance with face value $25000.

from the given table,

for females, the age of a male 3 years younger should be used.

so, we have to check for 24 year male for 20 year endowment.

it is 42.34 for every $1000 face value.

for a face value of $25000,

it is 25 * 42.34 = $1058.50

∴ emily ruth's annual premium is $1058.50