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Light of wavelength $λ$ falls on a cathode plate inside a vacuum tube as shown in the figure. The work function of the cathode surface is $W$ and the anode is a wire mesh of conducting material kept at a distance $d$ from the cathode. A potential difference $V$ is maintained between the electrodes. If the minimum de-Broglie wavelength of the electrons passing through the anode is $λ_{e}$ , which of the following statement is true?

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Important Questions on Matter Waves

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12th ICSE

IMPORTANT

ISC Physics Class 12, Part-2>Chapter 11 - Matter Waves>For DIFFERENT COMPETITIVE EXAMINATIONS>Q 9

A photoelectric material having work-function

W

is illuminated with light of wavelength

λ (λ < \frac{h c}{W})

. The fastest photoelectron has a de-Broglie wavelength

λ_{d}

. A change in wavelength of the incident light

∆ λ

results in a change

∆ λ_{d}

and

λ_{d}

. Then the ratio

\frac{∆ λ_{d}}{∆ λ}

is proportional to:

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ISC Physics Class 12, Part-2>Chapter 11 - Matter Waves>For DIFFERENT COMPETITIVE EXAMINATIONS>Q 10

An electron of mass

m

with an initial velocity

\vec{v} = v_{0} \hat{i} (v_{0} > 0)

enters an electric field

\vec{E} = - E_{0} \hat{i} (E_{0} = constant > 0)

t = 0

. If

λ_{0}

is its de-Broglie wavelength at time

t = 0

then wavelength at time

t

is:

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12th ICSE

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ISC Physics Class 12, Part-2>Chapter 11 - Matter Waves>For DIFFERENT COMPETITIVE EXAMINATIONS>Q 11

Two particles move at right angle to each other. Their de-Broglie wavelengths are

λ_{1}

and

λ_{2}

respectively. The particles suffer perfectly inelastic collision. The de-Broglie wavelength

λ

, of the final particle, is given by:

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12th ICSE

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ISC Physics Class 12, Part-2>Chapter 11 - Matter Waves>For DIFFERENT COMPETITIVE EXAMINATIONS>Q 12

A particle

' P'

is formed due to completely inelastic collision of particles

' x'

and

' y'

having de-Broglie wavelengths

' λ_{x}'

and

' λ_{y}'

respectively. If

x

and

y

were moving in opposite directions, then the de-Broglie wavelength of

' P'

is:

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12th ICSE

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ISC Physics Class 12, Part-2>Chapter 11 - Matter Waves>For DIFFERENT COMPETITIVE EXAMINATIONS>Q 13

An electron is accelerated through a potential difference of

10000 V

. Its de-Broglie wavelength is, (nearly):

(m_{e} = 9 \times 10^{- 31} kg)

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ISC Physics Class 12, Part-2>Chapter 11 - Matter Waves>For DIFFERENT COMPETITIVE EXAMINATIONS>Q 14

A nucleus

A

, with a finite de-Broglie wavelength

λ_{A}

, undergoes spontaneous fission into two nuclei

B

and

C

of equal mass.

B

flies in the same direction as that of

A

, while

C

flies in the opposite direction with a velocity equal to half of that of

B

. The de-Broglie wavelengths

λ_{B}

and

λ_{C}

B

and

C

are respectively:

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12th ICSE

IMPORTANT

ISC Physics Class 12, Part-2>Chapter 11 - Matter Waves>For DIFFERENT COMPETITIVE EXAMINATIONS>Q 15

If the de-Broglie wavelength of an electron is equal to

10^{- 3}

times the wavelength of a photon of frequency

6 \times 10^{14} Hz

, then the speed of the electron is equal to: (Speed of light

= 3 \times 10^{8} m / s

, Plank's constant

= 6.63 \times 10^{- 34} J - s

, Mass of electron

= 9.1 \times 10^{- 31} kg

Important Questions on Matter Waves

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