Wave Particle Duality Test

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Wave Particle Duality Test - 1

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Question 1
1 / -0

Statement - 1 : Kinetic energy of photo electrons emitted by a photosensitive surface depends upon the intensity of incident photon.
Statement - 2 : The ejection of electrons from metallic surface is possible with frequency of incident photon is more than the threshold frequency.

A
Both Statement - 1 and Statement - 2 are true and Statement - 2 is the correct explanation of Statement - 1.

B
Both Statement - 1 and Statement - 2 are true and Statement - 2 is not the correct explanation of Statement - 1.

C
Statement – 1 is true but Statement – 2 is false.

D
Statement – 1 is false but Statement – 2 is true.

Solution

Kinetic energy of emitted photoelectrons depends upon the frequency of the incident radiation. Intensity of incident photon decides the number of electrons ejected

Ejection of electron from metallic surface is possible only when frequency of incident photon is more than threshold frequency.
Question 2
1 / -0

The kinetic energy of the fastest photoelectrons emitted is 0.73 eV, when light falls on a metal plate of work function 1.82 eV. Find the energy (in eV) of the photons causing the photoelectric emission.

A
5.20

B
2.55

C
3.64

D
1.27

Solution

From Einstein's law of Photo-electric emission
KE_max = Energy of photon - work function of the metal

Energy of photon = Work function of the metal + KE_max
= 1.82 + 0.73 = 2.55 eV
Question 3
1 / -0

A photon of frequency f causes the emission of a photoelectron of maximum kinetic energy E_k, when it strikes a metal surface. If a photon of frequency 3f is incident on the same metal, the maximum kinetic energy of the emitted photoelectron

A
is greater than 3E_k

B
may be equal to, less than or, greater than 3E_k

C
is less than 3E_k

D
equals 3E_k

Solution

By Einstein’s equation for the photoelectric effect,

hf – W = E_K … (i)

With frequency 3f

3hf – W = E’_K … (ii)

Solving eq (i) and (ii), we get,

E’_K – 3E_K = 2W > 0.
Question 4
1 / -0

Statement - 1 : Photosensitivity of a metal is high if its work function is small.

Statement - 2 : Work function = hf₀ where f₀ is the threshold frequency.

A
Both Statement - 1 and Statement - 2 are true and Statement - 2 is the correct explanation of Statement - 1.

B
Both Statement - 1 and Statement - 2 are true and Statement - 2 is not the correct explanation of Statement - 1.

C
Statement – 1 is true but Statement – 2 is false.

D
Statement – 1 is false but Statement – 2 is true.

Solution

The photosensitivity of a metal is high when its work function is small. Work function of a metal depends not on the threshold frequency but on the nature of the metal.
Question 5
1 / -0

Statement - 1 : Photoelectric effect demonstrates the particle nature of light.

Statement - 2 : The number of photoelectrons is proportional to the frequency of light.

A
Both Statement - 1 and Statement - 2 are true and Statement - 2 is the correct explanation of Statement - 1.

B
Both Statement - 1 and Statement - 2 are true and Statement - 2 is not the correct explanation of Statement - 1.

C
Statement – 1 is true but Statement – 2 is false.

D
Statement – 1 is false but Statement – 2 is true.

Solution

Photoelectric effect demonstrates the particle nature of light, where light can be assumed to me made of photons.The number of photoelectrons emitted is proportional to the intensity of light, which can be thought as number of photons per unit area per unit time. More incident photons will results in more electron emission.

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Re-Attempt Weekly Quiz Competition

Wave Particle Duality Test - 1

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Wave Particle Duality Test - 1

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Question 1

Both Statement - 1 and Statement - 2 are true and Statement - 2 is the correct explanation of Statement - 1.

Both Statement - 1 and Statement - 2 are true and Statement - 2 is not the correct explanation of Statement - 1.

Statement – 1 is true but Statement – 2 is false.

Statement – 1 is false but Statement – 2 is true.

Solution

Question 2

5.20

2.55

3.64

1.27

Solution

Question 3

is greater than 3Ek

may be equal to, less than or, greater than 3Ek

is less than 3Ek

equals 3Ek

Solution

Question 4

Both Statement - 1 and Statement - 2 are true and Statement - 2 is the correct explanation of Statement - 1.

Both Statement - 1 and Statement - 2 are true and Statement - 2 is not the correct explanation of Statement - 1.

Statement – 1 is true but Statement – 2 is false.

Statement – 1 is false but Statement – 2 is true.

Solution

Question 5

Both Statement - 1 and Statement - 2 are true and Statement - 2 is the correct explanation of Statement - 1.

Both Statement - 1 and Statement - 2 are true and Statement - 2 is not the correct explanation of Statement - 1.

Statement – 1 is true but Statement – 2 is false.

Statement – 1 is false but Statement – 2 is true.

Solution

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is greater than 3E_k

may be equal to, less than or, greater than 3E_k

is less than 3E_k

equals 3E_k