Subject

Physics

Class

ICSE Class 12

Pre Boards

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Sample Papers

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 Multiple Choice QuestionsLong Answer Type

41.

What is photoelectric effect ? With the help of a suitable graph show the variation of photo current with,  

(i) The intensity of incident radiation.

(ii) Voltage applied between cathode and anode.

(iii) Frequency of incident radiation.

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42.

The potential difference across an x-ray tube is 12.4 kV and the current through the filament is 2 mA.

Calculate : 

(i) the number of electrons striking per second on the anode.

(ii) The speed with which the electron strikes the target.

(iii) The shortest wavelength of X-rays emitted.


i) Number of electrons striking per second on the anode is, 

V = 124 kV,    

i = 2 mA = 2 x 10
-3 A


We know that,

q = ne and

q = it

This implies,

it = ne

Therefore, 


straight n over straight t space equals space i over e space equals space fraction numerator 2 space x space 10 to the power of negative 3 end exponent over denominator 1.6 space x space 10 to the power of negative 19 end exponent end fraction space equals space 1.2 space x space 10 to the power of 16

ii) Speed with which the electron strikes the target is, 

We know that, 


space space space space space space space eV space equals space 1 half space mv squared
space space space space space mv squared space equals space 2 eV

rightwards double arrow space straight v squared space equals space fraction numerator 2 eV over denominator straight m end fraction
We space have comma space

straight V space equals space 12.4 space kV space equals space 12.4 space straight x space 10 to the power of 4 space equals space 12400

straight m subscript straight e space equals space 9.31 space straight x space 10 to the power of negative 31 end exponent space kg

straight v space equals space square root of fraction numerator 2 eV over denominator straight m end fraction end root space equals space square root of fraction numerator 2 space straight x space 1.6 space straight x space 10 to the power of negative 19 end exponent space straight x space 12400 space over denominator 9.31 space straight x space 10 to the power of negative 31 end exponent end fraction end root

space space space equals space 4.26 space straight x space 10 to the power of 13 

iii) Shortest wavelength of X-rays emitted is, 

Here    E - eV                                  ...(i)

and    eV space equals space hc over straight lambda space space space space space space space space space space space space space space space space space space space space space space space... space left parenthesis ii right parenthesis space

From eqn. (i) and (ii), we get 

space space space space space eV space equals space hc over straight lambda space
rightwards double arrow space straight lambda space equals space hc over eV

rightwards double arrow space straight lambda space space equals space fraction numerator 6.6 space straight x space 10 to the power of negative 34 end exponent space straight x space 3 space straight x space 10 to the power of 8 over denominator 1.6 space straight x space 10 to the power of negative 19 end exponent straight x space 12400 end fraction

rightwards double arrow space straight lambda space equals space 9.97 space straight x space 10 to the power of negative 14 end exponent space straight m

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