1. what is the frequency in hertz of a photon that has a wavelength of 5.78 x 104 m? 2. calculate the wavelength of a wave that has a frequency of 22.4 mhz. 3. what is the frequency in hertz of a photon that has a wavelength of 67.9 m? 4. calculate the wavelength of a wave that has a frequency of 34.66 hz. 5. what is the frequency in hertz of a photon that has a wavelength of 9.98 mm?

Answer :

Solution For 1 :

Given,

wavelength =

Speed of light =

Formula used :

          .............(1)

= frequency

= wavelength

c = speed of light

Now put all the given values in above formula, we get

=  

(1Hz = 1 per second)

Therefore, the frequency of a photon in hertz is .

Solution For 2 :

Given,

Frequency =      

Speed of light =

Now put all the given values in above formula (1), we get

Therefore, the wavelength of a wave is 13.38 m.

Solution For 3 :

Given,

wavelength =

Speed of light =

Now put all the given values in above formula (1), we get

=

Therefore, the frequency of a photon in hertz is .

Solution For 4 :

Given,

Frequency =

Speed of light =

Now put all the given values in above formula (1), we get

Therefore, the wavelength of a wave is .

Solution For 5 :

Given,

wavelength =      (1 m  = 1000 mm)

Speed of light =

Now put all the given values in above formula (1), we get

=

Therefore, the frequency of a photon in hertz is .

when the volume of gas is   changed from   717.73 ml   to 852 ml   the temperature will   change   from 315   c to 452   c

    calculation

this is calculated using the charles law formula

that is,   v1/t1 = v2/t2

          v1=?

        t1 = 315 c   into   kelvin = 315 +273 = 588 k

        v2 = 852   ml

        t2 = 425c + 273 =698 k

make v1   the subject of the formula ( by   multiplying both side by t1)

  v1=( v2 xt1) / t2

v1= (852 ml   x 588 k)/ 698 k= 717.73 ml

the dissolution of polymer can be thermodynamically described in 2 steps.