Dual Nature of Radiation and Matter Test

Result

Dual Nature of Radiation and Matter Test - 76

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Question 1
1 / -0

After absorbing a slowly moving neutron of mass $$m_N$$ (momentum $$\sim 0$$) a nucleus of mass $$M$$ breaks into two nuclei of mass $$m_1$$ and $$3m_1(4m_1 = M + m_N)$$ respectively. If the de Broglie wavelength of the nucleus with mass $$m_1$$ is $$\lambda$$, then de Broglie wavelength of the other nucleus will be.

A
$$9\lambda$$

B
$$3\lambda$$

C
$$\dfrac{\lambda}{3}$$

D
$$\lambda$$
Question 2
1 / -0

Wavelength of the de- Broglie wave of an electron revolving in the fourth orbit of the hydrogen atom is ($$r_0$$ is the Bohr's radius)

A
25 $${ \pi r }_{ 0 }$$

B
$${ \pi r }_{ 0 }$$

C
10 $${ \pi r }_{ 0 }$$

D
8 $${ \pi r }_{ 0 }$$

Solution
Question 3
1 / -0

The velocity of an electron in the ground state of hydrogen atom is $$2.2 \times 10^6m/s$$. The De-Broglie wavelength associated with a muon in the ground state of a muonic hydrogen will be:- $$(m\mu = 207m_e)$$

A
$$1.6 \mathring{A}$$

B
$$0.16 \mathring{A}$$

C
$$0.016 \mathring{A}$$

D
$$0.0016 \mathring{A}$$
Question 4
1 / -0

Assume that each atom ofcopper contiributes one free electron .The dentsity of copper is 9 g $$cm^{ -3 }$$ and atomic weight of copper is 63. If the current flowing through a copper wire of 1 mm diameter is 1.1 amperes , the drift velocity of electrons will be :-

A
0.01 mm $$S^{ -1 }$$

B
0.02 mm $$S^{ -1 }$$

C
0.2 mm $$S^{ -1 }$$

D
0.1 mm $$S^{ -1 }$$

Solution
Question 5
1 / -0

A particle $$A$$ of mass $$m$$ and initial velocity $$v$$ collides with a particle $$B$$ of mass $$\dfrac {m}{2}$$ which is at rest. The collision is head on, and elastic. The ratio of the de-Broglie wavelength $$\lambda_{A}$$ to $$\lambda_{B}$$ after the collision is

A
$$\dfrac {\lambda_{A}}{\lambda_{B}} = \dfrac {2}{3}$$

B
$$\dfrac {\lambda_{A}}{\lambda_{B}} = \dfrac {1}{2}$$

C
$$\dfrac {\lambda_{A}}{\lambda_{B}} = \dfrac {1}{3}$$

D
$$\dfrac {\lambda_{A}}{\lambda_{B}} = 2$$

Solution
Question 6
1 / -0

When a potential drop of $$V$$ volt is applied on a stationary neutron, then de broglie wavelength:-

A
$$0$$

B
$$\infty$$

C
$$\dfrac{12.27}{\sqrt V} \mathring{A}$$

D
$$\dfrac{0.101}{\sqrt V} \mathring{A}$$

Solution
Question 7
1 / -0

The energy of a $$k$$ electron in tungsten is -20 KeV and that of an $$l$$ Electron is -2 KeV. Find the wavelength of X rays emitted when there is electron jump from L to K shell.

A
$$0.3443\mathop {\text{A}}\limits^0 $$

B
$$0.6887\mathop {\text{A}}\limits^0 $$

C
$$1.3982\mathop {\text{A}}\limits^0 $$

D
$$2.87\mathop {\text{A}}\limits^0 $$

Solution
Question 8
1 / -0

When a $$\alpha$$-particle enters in an electric field then its debroglie wavelength:-

A
Increases

B
Decreases

C
Remains constant

D
May decrease or Increase.

Solution
Question 9
1 / -0

The wavelength of very fast moving electron $$\left( {v \approx c} \right)$$ is $$:$$

A
$$\left( {v \approx c} \right)$$

B
$$\lambda = \frac{h}{{\sqrt {2mE} }}$$

C
$${\lambda ^2} = \frac{{{h^2}}}{{\sqrt {2mE} }}$$

D
$$\lambda = \frac{{h\sqrt {1 - \frac{{{v^2}}}{{{c^2}}}} }}{{{m_0}v}}$$

Solution
Question 10
1 / -0

If the X-ray tube is working at 25 kV then the minimum wavelength of X-ray will be :-

A
$$0.49 A $$

B
$$0.29 A$$

C
$$0.19 A$$

D
$$0.39 A$$

Solution