Given:
H = 4cos(106t - 0.01z) yA/m
r = 1

To find:
The value of r

Solution:
To find the value of r, we need to analyze the given information and equations.

1. Magnetic Field Intensity:
The magnetic field intensity H is given by the equation H = 4cos(106t - 0.01z) yA/m.

2. Analysis of H equation:
The equation of H represents a sinusoidal wave with a frequency of 106 Hz and a phase shift of 0.01z radians along the z-axis. The amplitude of the wave is 4 yA/m.

3. Relationship between frequency and wavelength:
In a sinusoidal wave, the frequency (f) and wavelength (λ) are related by the equation v = fλ, where v is the velocity of the wave. In the case of electromagnetic waves, the velocity of light (c) is given by c = fλ.

4. Relationship between velocity and wavelength:
The velocity of light in a medium is given by the equation v = c/n, where n is the refractive index of the medium. In a vacuum, the refractive index is 1, so the velocity of light in a vacuum is c = 3 x 10^8 m/s.

5. Calculation of wavelength:
Using the relationship between velocity and wavelength, we can calculate the wavelength of the wave represented by H. Since the velocity of light in a vacuum is c = 3 x 10^8 m/s and the frequency is f = 106 Hz, we have λ = c/f = (3 x 10^8 m/s)/(106 Hz) = 2.83 m.

6. Calculation of r:
The value of r represents the distance traveled by the wave in one complete cycle. Since the wavelength is 2.83 m and the wave represents a sinusoidal wave, the value of r is equal to half the wavelength. Therefore, r = λ/2 = 2.83 m/2 = 1.415 m.

7. Comparison with given information:
Comparing the calculated value of r (1.415 m) with the given value of r (1 m), we can see that the given value of r is not equal to the calculated value. Therefore, the correct answer is option 'B' (3), as it is different from the given value of r.