WHAT WILL BE THE WAVELENGTH OF OXYGEN
MOLECULE IN PICOMETERS MOVING WITH A VELOCITY OF 660m/sec?...
V=660 m/s ; h=6.626*10^-34 ;
m = 32*10^-3÷6.02*10^23
Lambda=h÷(mv)
Lambda=18.8 pm
1pm = 10^-12 m
18.8 pm
A moving electron has 4.9 into 10 power minus 25 joules of kinetic energy find out its De Broglie wavelength
To find the wavelength of the oxygen molecule in picometers, we can use the formula:
wavelength = velocity / frequency
First, we need to find the frequency of the oxygen molecule. The frequency can be calculated using the formula:
frequency = velocity / wavelength
Rearranging the formula:
wavelength = velocity / frequency
Given:
Velocity = 660 m/sec
Now, we need to find the frequency. The frequency is the number of wave cycles passing a fixed point per unit time. For a molecule, we can use the formula:
frequency = speed of light / wavelength
The speed of light is a constant value which is approximately 3 x 10^8 meters per second.
Using the formula:
frequency = speed of light / wavelength
Given:
Speed of light = 3 x 10^8 m/sec
Substituting the given values into the formula:
frequency = (3 x 10^8 m/sec) / wavelength
Now, we can substitute the frequency back into the wavelength formula:
wavelength = velocity / frequency
Substituting the given values:
wavelength = 660 m/sec / [(3 x 10^8 m/sec) / wavelength]
Now, we can solve for the wavelength:
wavelength = (660 m/sec * wavelength) / (3 x 10^8 m/sec)
Simplifying the equation:
wavelength = (660 * wavelength) / (3 x 10^8)
The units of wavelength are meters, but we want the wavelength in picometers. To convert meters to picometers, we know that 1 meter is equal to 10^12 picometers.
Thus, the final equation becomes:
wavelength in picometers = (660 * wavelength * 10^12) / (3 x 10^8)
Simplifying further:
wavelength in picometers = (2.2 * wavelength * 10^12) / (1 x 10^8)
The resulting value will give you the wavelength of the oxygen molecule in picometers. Just substitute the value of wavelength into the equation to get the result.
m=32×10^-3kg/6.02×10^23
= 1pm =10^-12m