A student is carrying out an investigation in which a string of known length is plucked and then the student measures the resulting frequency of vibration in the string to determine the speed of the waves. If the student increases the tension in the string, how will it affect the frequency and speed of the waves in the string? (DOK 3) Question 15 options:

A. The speed will increase and the frequency will remain the same because the properties of the medium has changed but the wavelength will be the same.

B. Both the frequency and speed will increase because the properties of the medium have changed and the wavelength stays the same.

C. The frequency will increase but the speed will remain the same because the medium is the same but the wavelength is smaller.

D. Neither the frequency or the speed will change because the medium is the same.

The inside surface of a cylindrical-shaped cave of inner diameter 1.0 m is continuously covered with a very thin layer of water. the cave is very long and it is open on both ends. the water on the cave surface is at a constant temperature of 15.5 °c. the cave is constantly exposed to wind such that 15.5 °c air flows through the cave at 4.5 m/s. the kinematic viscosity of the air is 14.66 x 10-6 m2/s and the molecular diffusion coefficient of water vapor in the air is 0.239 x 10-4 m2/s. because the cave diameter is so large, the flow of wind down the length of the cave, in the x direction, can be treated like it is external flow and the cave surface can be approximated as flat where appropriate. calculate the x value, in a) the transition to turbulent flow occurs at rex meters, where the air flow transitions from laminar to turbulent along the inside surface of the cave b) calculate the x value, in meters, where the bulk steady state concentration of water vapor in the air flowing in the cave is 10% of the saturation concentration. assume the air at the surface of the water layer is 100% saturated with water vapor. assume the wind entering the cave contained no moisture before it entered the cave. take into account the transition from laminar to turbulent flow when solving part b