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Test: Dual Nature of Matter (April 23) - JEE MCQ


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Test: Dual Nature of Matter (April 23) - Question 1

The threshold frequency v0 for a metal is 7.0 x 1014 s-1. Radiation of frequency v = 1.0 x 1015 s-1 hits the metal. Kinetic energy of the emitted electron is

Detailed Solution for Test: Dual Nature of Matter (April 23) - Question 1

By photoelectric effect



Test: Dual Nature of Matter (April 23) - Question 2

Which of the following rules/principles is responsible to rule out the existence of definite paths or trajectories of electrons?

Detailed Solution for Test: Dual Nature of Matter (April 23) - Question 2

By Heisenberg’s uncertainty principle, it is impossible to determine position and momentum simultaneously with same accuracy. Thus, existence of definite path is ruled out.

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Test: Dual Nature of Matter (April 23) - Question 3

In an atom, an electron is moving with a speed of 600 ms-1 with an accuracy of 0.005%. Certainty with which the position of the electron can be located is

[AIEEE 2009]

Detailed Solution for Test: Dual Nature of Matter (April 23) - Question 3

By Heisenberg’s uncertainty principle


Test: Dual Nature of Matter (April 23) - Question 4

The wavelength (in nanometer) associated with a proton (mass = 1.67 x 10-27 kg atom-1) at the velocity of 1.0 x 10-3 ms-1 is

Detailed Solution for Test: Dual Nature of Matter (April 23) - Question 4

By de-Broglie’s equation


Test: Dual Nature of Matter (April 23) - Question 5

Statement I : It is impossible to determine position and momentum of the moving electron simultaneously with same accuracy.
Statement II : The path of an electron in an atom is clearly defined.

Detailed Solution for Test: Dual Nature of Matter (April 23) - Question 5

Statement 1 is uncertainty principle, according to which we can't locate a moving electron accurately at any instant, which implies there must me certain uncertainty in its path, as path basically gives us the position of electron at various instances.

Test: Dual Nature of Matter (April 23) - Question 6

If the photon of the wavelength 150 pm strikes an atom and one of its inner bound electrons is ejected out with a velocity of 1.5 x 107 ms-1, then binding energy by which electron is bound to nucleus is

Detailed Solution for Test: Dual Nature of Matter (April 23) - Question 6

Binding energy is the minimum energy to which electron is bound to nucleus or which is required to eject the electron.
Thus, binding energy = - threshold energy




Test: Dual Nature of Matter (April 23) - Question 7

The position of both, an electron and a helium atom is known within 1.0 mm. Further more the momentum of the electron is known within 5.0 x 10-26 kg ms-1. The minimum uncertainty in the measurement of the momentum of the helium atom is

Detailed Solution for Test: Dual Nature of Matter (April 23) - Question 7


and for electron


Test: Dual Nature of Matter (April 23) - Question 8

The wavelength of a neutron with a translatory kinetic energy equal to kT at 300 K is

Detailed Solution for Test: Dual Nature of Matter (April 23) - Question 8

Kinetic energy = kT







Test: Dual Nature of Matter (April 23) - Question 9

Frequency of a matter wave is equal to

Detailed Solution for Test: Dual Nature of Matter (April 23) - Question 9

By de-Broglie equation




Test: Dual Nature of Matter (April 23) - Question 10

Direction (Q. Nos. 11 and 12) This section contains a paragraph, wach describing  theory, experiments, data etc. three Questions related to paragraph have been  given.Each question have only one correct answer among the four given  ptions  (a),(b),(c),(d)

Photoelectric effect can be expressed in terms of the following graph


Q. What is work function for this photoelectric emission of electrons?

Detailed Solution for Test: Dual Nature of Matter (April 23) - Question 10

Photoelectric effect is represented by










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