Electrons are emmited with zero velocity from certain metal surface wh...
As we know hv=hv0+1/2mv²since velocity=0hv=hv0 the work function hv0=hc/lambdaCalculate work function as above.threshold frequency =c/lambda
Electrons are emmited with zero velocity from certain metal surface wh...
Threshold Frequency Calculation:
- The threshold frequency (f) can be calculated using the formula:
f = c / λ
where c is the speed of light (3 x 10^8 m/s) and λ is the wavelength of the radiation (6000 A = 6000 x 10^-10 m).
- Plugging in the values, we get:
f = 3 x 10^8 / (6000 x 10^-10) = 5 x 10^14 Hz
Work Function Calculation:
- The work function (φ) can be calculated using the formula:
K.E. max = hf - φ
where K.E. max is the maximum kinetic energy of the emitted electron, h is the Planck's constant (6.63 x 10^-34 J.s) and f is the frequency of the radiation.
- Since the electrons are emitted with zero velocity, the maximum kinetic energy is zero:
0 = hf - φ
φ = hf
- Substituting the values of h and f, we get:
φ = 6.63 x 10^-34 x 5 x 10^14 = 3.315 x 10^-19 J
Therefore, the threshold frequency is 5 x 10^14 Hz and the work function is 3.315 x 10^-19 J.