Electromagnetic radiation (light) consists of waves. More than a century ago, scientists thought that light, like other waves, required a medium (called the ether) to support its transmission. Glass, having a typical mass density of ñ = 2690 kg/m3, also supports the transmission of light. What would the elastic modulus of glass have to be to support the transmission of light waves at a speed of v = 2.27 · 10^8m/s? (For comparison: the actual elastic modulus of window glass is 5 · 10^10 N/m2.)
The speed of a wave associated with pressure variations in a medium (such as sound waves) is
v = sqrt (E/rho)
where E is the elastic modulus and rho is the density of the medium.
In your case, solve for E, using c for the speed of light.
Light is NOT associated with pressure-variation waves. It is purely electromagnetic, does not involve mass and does not require a transmitting medium.
Simply, V square * Density is your answer
ehh malý Vsquare*density diyosun sonuç sonsuz mu çýkýcak?
To determine the elastic modulus of glass required to support the transmission of light waves at a speed of v = 2.27 * 10^8 m/s, we can use the following formula:
v = √(E/ρ)
Where:
v is the speed of the wave,
E is the elastic modulus, and
ρ is the mass density of the medium.
Rearranging the formula to solve for the elastic modulus E:
E = v^2 * ρ
Plugging in the given values:
v = 2.27 * 10^8 m/s
ρ = 2690 kg/m^3
Calculating the elastic modulus:
E = (2.27 * 10^8 m/s)^2 * 2690 kg/m^3
E = 116620300000000 N/m^2
Therefore, the elastic modulus of glass required to support light waves at a speed of 2.27 * 10^8 m/s would be approximately 1.17 * 10^14 N/m^2.