The distance between the two nearest points on a wave where the particles are in phase is 2 m. What is the wavelength of the wave? A. 1/2 m

B. 1 m

C. 2 m

D. 2 seconds

E. none of these

Suppose that the wave equation is:

f(x) = A*cos(k*x)

The wave is in phase for two points x₁ and x₂ if:

f(x₁) = f(x₂)

And if these points are consecutive (for example, two consecutive peaks) then the wavelength of the wave is:

wavelength = x₂ - x₁

In this case, we know that the wave is in phase for two points that are 2 m apart.

Then we can use the points:

x₁ and x₂ such that:

x₂ = x₁ + 2m

We also know that these are the nearest points such that this happens, then we can assume that the points are consecutive.

Then the wavelength will be:

wavelength = x₂ - x₁ = (x₁ + 2m) - (x₁) = 2m

Then the wavelength is 2m.

The correct option is C.

  the grams     of oxygen gas   that can be produced     is 20.6   grams of o₂

calculation

2liclo₃ →   2 licl + 3 o₂

step 1:   find the moles of liclo₃

moles = mass÷ molar mass

from periodic table the molar mass of liclo₃ =6.9 +35.5   +(16 x3) =90.4 g/mol

moles=38.7 g÷90.4 g/mol=0.4281   moles

step 2:   use the   mole ratio   to calculate the moles of o2

from equation above, liclo₃: o₂   is 2: 3  

therefore the moles of   o₂=0.4281 moles x3/2 =0.6422   moles

step 3: find mass   of o₂

mass= moles x molar mass

from periodic table the   molar mass of   o₂ = 16 x2= 32 g/mol

mass=0.6422   moles   x   32 g/mol = 20.6 grams of o₂

the chart show the masses and velocities of two colliding objects that stick together after a collision.

according to the law of conservation of momentum, the momentum of the object after the collision is  

answer

1,500

kg • m/s.