Four of the wavelengths of the Balmer series occur in the visible spectrum (656 nm, 486 nm, 434 nm, and 410 nm). In which region of the electromagnetic spectrum does the fifth line, with a wavelength of 397 nm, occur? View Available Hint(s) Four of the wavelengths of the Balmer series occur in the visible spectrum (656 , 486 , 434 , and 410 ). In which region of the electromagnetic spectrum does the fifth line, with a wavelength of 397 , occur? ultraviolet radio waves gamma rays infrared microwaves visible light X rays

Visible Light Region

Explanation:

The wavelengths of different regions in electromagnetic radiation spectrum are given below:

Radio Waves Greater than 10 mm

Microwaves   10 mm to 0.1 mm

Infrared         100 μm to 740 nm

Visible Light 740 nm to 380 nm

Ultra Violet   380 nm to 10 nm

X-rays             10 nm to 100 pm

Gamma Rays less than 100 pm

Since, the wavelength of the fifth line has a wavelength of 397 nm. Therefore, it is clear from the given information above, that this wavelength lies within the range of Visible Light.

Hence, the fifth line of Balmer Series occur in the Visible Light Region of the electromagnetic spectrum.

Explanation:

From the given information:

The force applied to the child should be at equilibrium in order to maintain him vertically hung on the wall.

Also, the frictional force acting on the child against gravitational pull is:

where,

the centripetal force acting outward on the child is equal to the normal force.

SO,

Since the centripetal force

Then:

Using Newton's law, the frictional force must be equal to the weight

Recall that:

The angular speed

Therefore;

Making the coefficient of friction the subject of the formula: