Athin, taut string tied at both ends and oscillating in its third harmonic has its shape described by the equation: y(x, t)=(5.89 cm) sin[(0.0340 rad/cm)x] sin[(50.4 rad/s)t], where the origin is at the left end of the string, the x-axis is along the string, and the y-axis is perpendicular to the string. what is the length of the string?

L=2.77 m

Explanation:

Given that

y(x,t)=(5.89 cm) sin[(0.0340 rad/cm)x] sin[(50.4 rad/s)t]

As we know that standard form of  wave equation

y = 2A sin kx sin ωt

By comparing the above both equation

2 A = 5.89 cm

A= 2.945 cm

k=0.0340 x 100 m⁻¹= 3.4  rad/m

ω=54.4 rad/s

wavelength given as

 λ=2π /k

By putting the values

λ=2 x 3.14 /3.4 = 1.84 m

The length L given as

Here n = 3

L=2.77 m

answer: the correct answer id option(d).

explanation:

snell's law refraction:

the angle of refraction =

the angle of incidence =

refractive index of air = = 1

refractive index of glycerol = 1.47

from the given options, the most closest answer to 63.72° is 65° of option (d).

the independent variable, the one that is intentionally manipulated, is whether or not the car hits the barrier.

the dependent variable, the one that you measure the response in, is the distance that the washers travel.