Dual Nature of Radiation and Matter Test

Question 1
1 / -0

The speed of a proton is $$\dfrac { c }{ 20 } .$$ The wavelength associated with it will be($$ h= 6.6 \times 10^{-34} Js$$) :

A
$$2.64\times { 10 }^{ -24 }mm$$

B
$$2.64\times { 10 }^{ -24 }nm$$

C
$$2.64\times { 10 }^{ -24 }\mathring { A } $$

D
$$2.64\times { 10 }^{ -14 }m$$

Question 2
1 / -0

The ratio of deBroglie wavelengths of a proton and an alpha particle of same energy is

A
1

B
2

C
4

D
0.25

Question 3
1 / -0

A particle is moving with 3 times faster than speed of $$ e ^ { - }$$. If the ratio of wavelength of particle & electron is $$ 1.8 \times 10 ^ { - 4 } $$ then particle is :

A
Neutron

B
$$\alpha$$-particle

C
Deutron

D
Tritium

Question 4
1 / -0

The wavelength of de-Broglie waves associated with neutrons at room temperature T is (E=kT)

A
$$\dfrac { 1.82 }{ T } \mathring { A } $$

B
$$\dfrac { 1.82 }{ \sqrt { T } } \mathring { A } $$

C
$$\dfrac { 30.7 }{ \sqrt { T } } \mathring { A } $$

D
$$\dfrac { 30.7 }{ T } \mathring { A } $$

Question 5
1 / -0

In the above diagram if V represent the stopping potential and wavelength of light is $$\lambda $$ if $${ V }_{ 2 }>{ V }_{ 1 }$$ then

A
$${ \lambda }_{ 1 }{ =\lambda }_{ 2 }$$

B
$${ \lambda }_{ 1 }{ >\lambda }_{ 2 }$$

C
$${ \lambda }_{ 1 }{ <\lambda }_{ 2 }$$

D
None of these

Question 6
1 / -0

The electron level which allows the hydrogen to absorb photons but not to emit is

A
$$1 s$$

B
$$2 s$$

C
$$2 p$$

D
$$3 d$$

Question 7
1 / -0

An electron, proton and alpha particle have same
kinetic energy. The corresponding de-Broglie wavelength would have the
following relationship:

A
$$
\lambda _ { \mathrm { e } } >\lambda _ { \mathrm { p } } > \lambda _ { \alpha }
$$

B
$$
\lambda _ { \mathrm { p } } < \lambda _ { \mathrm { e } } > \lambda _ { \alpha }
$$

C
$$
\lambda _ { \alpha } < \lambda _ { \mathrm { e } } > \lambda _ { \mathrm { p } }
$$

D
$$
\lambda _ { \alpha } ^ { r } < \lambda _ { p } > \lambda _ { \mathrm { e } }
$$

Question 8
1 / -0

De broglie wave length of uncharged particle depends on

A
Mass of particle

B
Kinetic energy of particle

C
Nature of particle

D
All of the above

Question 9
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When a particle is restricted to move along x-axis between x = 0 and x = a, where a is of nanometer dimension, its energy can take only certain specific values. The allowed energies of the particle moving in such a restricted region, correspond to the formation of standing waves with nodes at its ends x=0 and x=a. The wavelength of this standing wave is related to the linear momentum p of the particle according to the de Broglie relation. The energy of the particle of mass m is related to its linear momentum as E =$$\frac{\rho^2}{2m}$$. Thus, the energy of the particle can be denoted by a quantum number n taking values 1, 2, 3, . (n = 1, called the ground state) corresponding to the number of loops in the standing wave. Use the model described above to answer the following three questions for a particle moving in the line x = 0 to x = a. Take h = $$6.6 \times 10^{-34} \ Js $$ and $$ e =1.6 \times 10^{-19} $$ C.
If the mass of the particle is $$m = 1.0 \times 10^{-30}$$ kg and a = 6.6 nm, the energy of the particle in its ground state is closest to

A
$$800\ meV$$

B
$$8\ meV$$

C
$$0.8\ meV$$

D
$$80\ meV$$

Question 10
1 / -0

The stopping potentials are $$V_1$$ and $$V_2$$ with incident lights of wavelength $$\lambda_1$$ and $$\lambda_2$$ respectively. Then $$V_1 - V_2 =$$

A
$$\dfrac{hc}{e} \dfrac{\lambda_1\lambda_2}{\lambda_1-\lambda_2}$$

B
$$\dfrac{hc}{e} \left[\dfrac{1}{\lambda_1}- \dfrac{1}{\lambda_2}\right]$$

C
$$\dfrac{he}{c} \left[\dfrac{1}{\lambda_1}- \dfrac{1}{\lambda_2}\right]$$

D
$$\dfrac{he}{c\lambda_1\lambda_2}(\lambda_1 - \lambda_2)$$

Submit Test

Dual Nature of ...

Question 1

$$2.64\times { 10 }^{ -24 }mm$$

$$2.64\times { 10 }^{ -24 }nm$$

$$2.64\times { 10 }^{ -24 }\mathring { A } $$

$$2.64\times { 10 }^{ -14 }m$$

Question 2

1

2

4

0.25

Question 3

Neutron

$$\alpha$$-particle

Deutron

Tritium

Question 4

$$\dfrac { 1.82 }{ T } \mathring { A } $$

$$\dfrac { 1.82 }{ \sqrt { T } } \mathring { A } $$

$$\dfrac { 30.7 }{ \sqrt { T } } \mathring { A } $$

$$\dfrac { 30.7 }{ T } \mathring { A } $$

Question 5

$${ \lambda }_{ 1 }{ =\lambda }_{ 2 }$$

$${ \lambda }_{ 1 }{ >\lambda }_{ 2 }$$

$${ \lambda }_{ 1 }{ <\lambda }_{ 2 }$$

None of these

Question 6

$$1 s$$

$$2 s$$

$$2 p$$

$$3 d$$

Question 7

$$\lambda _ { \mathrm { e } } >\lambda _ { \mathrm { p } } > \lambda _ { \alpha }$$

$$\lambda _ { \mathrm { p } } < \lambda _ { \mathrm { e } } > \lambda _ { \alpha }$$

$$\lambda _ { \alpha } < \lambda _ { \mathrm { e } } > \lambda _ { \mathrm { p } }$$

$$\lambda _ { \alpha } ^ { r } < \lambda _ { p } > \lambda _ { \mathrm { e } }$$

Question 8

Mass of particle

Kinetic energy of particle

Nature of particle

All of the above

Question 9

$$800\ meV$$

$$8\ meV$$

$$0.8\ meV$$

$$80\ meV$$

Question 10

$$\dfrac{hc}{e} \dfrac{\lambda_1\lambda_2}{\lambda_1-\lambda_2}$$

$$\dfrac{hc}{e} \left[\dfrac{1}{\lambda_1}- \dfrac{1}{\lambda_2}\right]$$

$$\dfrac{he}{c} \left[\dfrac{1}{\lambda_1}- \dfrac{1}{\lambda_2}\right]$$

$$\dfrac{he}{c\lambda_1\lambda_2}(\lambda_1 - \lambda_2)$$

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Question Analysis

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$$
\lambda _ { \mathrm { e } } >\lambda _ { \mathrm { p } } > \lambda _ { \alpha }
$$

$$
\lambda _ { \mathrm { p } } < \lambda _ { \mathrm { e } } > \lambda _ { \alpha }
$$

$$
\lambda _ { \alpha } < \lambda _ { \mathrm { e } } > \lambda _ { \mathrm { p } }
$$

$$
\lambda _ { \alpha } ^ { r } < \lambda _ { p } > \lambda _ { \mathrm { e } }
$$