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According to Law of photoelectric emissions .
1) at a given frequency, photoelectric current is directly proportional to the intensity of light .
for this explanation ( D) is correct the current increases with increasing the intensity of light .
(2) Energy = hc/lemda - hc/lemda°
for this we conclude that electrons ejected from metals when ,
lemda ≤ lemda°
it's means option ( B) is correct .
electrons can be ejected only if light is of sufficient short wavelength.
(3) when the frequency of incident light increases ( intensity comstant) stopping potential increases but their is no change in photoelectric current .
for this explanation option ( A) is correct.
the current doesn't depend upon colour of light ( frequency ) as long as wavelength is short enough .
(4) the stopping potential depends on the wavelength or frequency of incident light .
for this option ( C) is incorrect .
wavelenght limit is not same of all metals
1) at a given frequency, photoelectric current is directly proportional to the intensity of light .
for this explanation ( D) is correct the current increases with increasing the intensity of light .
(2) Energy = hc/lemda - hc/lemda°
for this we conclude that electrons ejected from metals when ,
lemda ≤ lemda°
it's means option ( B) is correct .
electrons can be ejected only if light is of sufficient short wavelength.
(3) when the frequency of incident light increases ( intensity comstant) stopping potential increases but their is no change in photoelectric current .
for this explanation option ( A) is correct.
the current doesn't depend upon colour of light ( frequency ) as long as wavelength is short enough .
(4) the stopping potential depends on the wavelength or frequency of incident light .
for this option ( C) is incorrect .
wavelenght limit is not same of all metals
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Correct option - C) The wavelength limit sufficient for ejection of electrons for all metals is same is the wrong statement.
Reason
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1) For a fix stopping potential ,small wavelength of the colour of the light will not alter the current . Therefore statement 1) is true.
2) Electrons can only be ejected if the wavelength of the light is small. It can be observed by the formula
E = hc( 1/lemda - 1/lemda°)
It is clear from the above formula that the wavelength must be smaller than the threshold wavelength in order to eject an electron.
4) By the laws of Photoelectric effect , rate of emission of photoelectrons(current flowing) from a metal surface is directly proportional to the intensity of the incident light.
therefore if the intensity of the light increases then the current flowing will too increase.
Hence this statement is also correct.
3) As we know that the frequency and wavelength of a light are inversely proportional to each other, different metals require different frequencies which is threshold frequency to eject an electron so if the frequencies are different then the wavelength will also be different.
Third statement given in the question doesn't coincide with this statement therefore the third statement is wrong.
Reason
-------------------------
1) For a fix stopping potential ,small wavelength of the colour of the light will not alter the current . Therefore statement 1) is true.
2) Electrons can only be ejected if the wavelength of the light is small. It can be observed by the formula
E = hc( 1/lemda - 1/lemda°)
It is clear from the above formula that the wavelength must be smaller than the threshold wavelength in order to eject an electron.
4) By the laws of Photoelectric effect , rate of emission of photoelectrons(current flowing) from a metal surface is directly proportional to the intensity of the incident light.
therefore if the intensity of the light increases then the current flowing will too increase.
Hence this statement is also correct.
3) As we know that the frequency and wavelength of a light are inversely proportional to each other, different metals require different frequencies which is threshold frequency to eject an electron so if the frequencies are different then the wavelength will also be different.
Third statement given in the question doesn't coincide with this statement therefore the third statement is wrong.
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