Modern Physics PYQ — Page 23

The conductivity of a semiconductor sample having electron concentration of $5\times {10}^{18}\mathrm{electrons}{m}^{-3}$, hole concentration of $5\times {10}^{19}\mathrm{holes}{m}^{-3}$, electron mobility of $2.0 {m}^{2} {V}^{-1} {s}^{-1}$ and hole mobility of $0.01{m}^{2} {V}^{-1} {s}^{-1}$ is (Take charge of an electron as $1.6\times {10}^{-19}C$ )

The $V-I$ characteristic of a diode is shown in the figure. The ratio of forward to reverse bias resistance is: 

According to Bohr's theory, the time averaged magnetic field at the centre (i.e., nucleus) of a hydrogen atom due to the motion of electrons in the ${n}^{th}$ orbit is proportional to: ($n=$ principal quantum number)

Two deuterons undergo nuclear fusion to form a Helium nucleus. The energy released in this process is (given binding energy per nucleon for deuteron$=\text{1.1}\mathrm{MeV}$ and for helium$=\text{7.0}\mathrm{MeV}$)

To get an output of $1$ from the circuit shown in the figure the input must be: 

The truth table given in fig. represents: <table class="pyq-table"><tbody><tr><td>A</td><td>B</td><td>Y</td></tr><tr><td>0</td><td>0</td><td>0</td></tr><tr><td>0</td><td>1</td><td>1</td></tr><tr><td>1</td><td>0</td><td>1</td></tr><tr><td>1</td><td>1</td><td>1</td></tr></tbody></table>

A neutron moving with a speed 'v' makes a head on collision with a stationary hydrogen atom in ground state. The minimum kinetic energy of the neutron for which perfactly inelastic collision will take place is :

If a, b, c, d are inputs to a gate and $x$ is its output, then, as per the following time graph, the gate is: 

The temperature dependence of resistance of $\mathrm{Cu}$ and undoped $\mathrm{Si}$ in the temperature range $300-400K$ is best described by

When photons of wavelength ${\lambda }_{1}$ are incident on an isolated sphere, the corresponding stopping potential is found to be $V$. When photons of wavelength ${\lambda }_{2}$ are used, the corresponding stopping potential was thrice that of the above value. If light of wavelength ${\lambda }_{3}$ is used then find the stopping potential for this case:

Identify the semiconductor devices whose characteristics are given below, in the order $(a), (b), (c), (d)$:  

A Zener diode with a breakdown voltage of $4V$ is connected in series with a resistance $R$ to a battery of emf $10V$. The maximum power dissipation rating for the Zener diode is $1W$. The value of $R$ to ensure maximum power dissipation across the diode is

A photoelectric surface is illuminated successively by monochromatic light of wavelengths $\lambda and \frac{\lambda }{2}.$ If the maximum kinetic energy of the emitted photoelectrons in the second case is 3 times that in the first case, the work function of the surface is :

An electron in a hydrogen atom makes a transition from $n=2$ to $n=1$ and emits a photon. This photon strikes a doubly ionized lithium atom which was already in an excited state and completely removes the orbiting electron. The least quantum number for the excited state of the lithium-ion for the process is

Radiation of wavelength $\lambda$ is incident on a photocell. The fastest emitted photoelectron has a speed $v$. If the wavelength is changed to $\frac{3\lambda }{4}$, the speed of the fastest emitted photoelectron will be

If one were to apply the Bohr model to a particle of mass $'m'$ and charge $'q'$ moving in a plane under the influence of a magnetic field 'B', the energy of the charged particle in the ${n}^{th}$ level will be:

The de-Broglie wavelength associated with the electron in the $n=4$ level is:

As an electron makes a transition from an excited state to the ground state of a hydrogen-like atom/ion

A $2V$ battery is connected across $AB$ as shown in the figure. The value of the current supplied by the battery when in first case battery's positive terminal is connected to $A$ and in second case when positive terminal of battery is connected to $B$ will respectively be: 

In an unbiased p - n junction electrons diffuse from n-region to p-region because:

De-Broglie wavelength of an electron accelerated by a voltage of $50 \text{V}$ is close to $(|e|=1.6\times {10}^{-19} C, {m}_{e}=9.1\times {10}^{-31} kg, h=6.6\times {10}^{-34} J s)$

The value of the resistor, ${R}_{S}$, needed in the DC voltage regulator circuit shown here, equals: 

For which of the following particles will it be most difficult to experimentally verify the de-Broglie relationship?

The radiation corresponding to $3 \rightarrow 2$ transition of hydrogen atom falls on a metal surface to produce photoelectrons. These electrons are made to enter a magnetic field of $3 \times 1 {0}^{ - 4 } T$. If the radius of the largest circular path followed by these electrons is 10.0 mm, the work function of the metal is close to :