Calculate the wavelength of an electron (m = 9.11 x 10-28 g) moving at 3.66 x 100 m/s. a) 1.81 x 10-10 m b) 2.76 x 10-9 m c) 5.03 x 10-10 m d) 5.52 x 10-9 m e) 1.99 x 10-10 m

option e = 1.99 × 10⁻⁶ m

Explanation:

Given data:

Mass of electron = 9.11 × 10⁻²⁸ g   or 9.11 × 10⁻³¹ Kg

Velocity = 3.66 × 100 m/s

Wavelength = ?

Solution:

Formula:

λ  = h / m. v

λ  = wavelength

h = planck's constant

m = mass

v = velocity

Now we will put the values in equation

λ  = h / m. v

λ  =  6.63 × 10⁻³⁴ Kg. m²/s  / 3.66 × 100 m/s . 9.11 × 10⁻³¹ Kg

λ  =  6.63 × 10⁻³⁴ Kg. m²/s / 3334.26  × 10⁻³¹ Kg .m/s

λ  = 1.99 × 10⁻⁶ m

E) 1.99 x 10^-10 m

We are given;

The mass of an electron (m)as 9.11 x 10^-28 g

Speed of the electron (v) is 3.66 x 10^6 m/s.

We are required to find the wavelength of the electron.

This can be done using the  De Broglies wavelength Formula:

λ = h/mv; where λ is the electron wavelength, v is the speed of the electron, m is the mass of the electron and h is the plank's constant (6.626×10^-34)

Therefore;

Wavelength = (6.626×10^-34)÷(9.11 x 10^-28 g × 3.66 x 10^6 m/s)

                    = 1.987 ×10^-10 m

                    = 1.99 × 10^-10 m

Therefore, the wavelength of an electron is 1.99 × 10^-10 m

the answer

explanation:

the capillary tube was too close to the bottom of the beaker.

the ruler may have moved.

water got into the capillary tube.

the temperature was not allowed to equilibrate in the 2-4 minutes.

yes it is balanced