Dual Nature of Radiation and Matter

Which of the following shows the dual nature of matter?

If the potential of the collector plate is made more and more negative, the photoelectric current:

The threshold frequency for a metal is $\nu_0$. When light of frequency $2\nu_0$ is incident, the maximum velocity of electrons is $v_1$. When frequency is $5\nu_0$, maximum velocity is $v_2$. The ratio $v_1/v_2$ is:

The stopping potential for a given photosensitive surface is a measure of the:

Which of the following is the correct unit for the work function of a metal?

Light of frequency $2\nu_0$ is incident on a metal with threshold frequency $\nu_0$. If the frequency is changed to $4\nu_0$, the maximum kinetic energy of the photoelectrons:

Which of the following units is equivalent to the unit of the ratio $h/e$ (Planck's constant to electron charge)?

The stopping potential $V_0$ for photoelectrons depends on the frequency $\nu$ of the incident light as $V_0 = a\nu - b$. What does the constant $b/a$ represent?

A monochromatic source of light of power $5 mW$ emits $8 \times 10^{15}$ photons per second. The frequency of light is (use $h = 6.63 \times 10^{-34} J \cdot s$):

The saturation photoelectric current depends on:

Which of the following quantities has the same unit as the work function?

The number of photons emitted per second by a source of power $P$ and frequency $\nu$ is:

In the photoelectric equation, if $\nu < \nu_0$, then:

Which metal among the following generally has a lower work function making it suitable for photoelectric cells?

The work function of a metal is $2.5\ eV$. If a photon of energy $4.0\ eV$ strikes the surface, what is the maximum energy that can be lost by the electron through internal collisions before it escapes the metal?

A metal surface of work function $1.0\ eV$ is irradiated with light of wavelength $3000\ \text{\AA}$. The stopping potential is approximately: (Take $hc = 12400\ eV\cdot\text{\AA}$)

Two sources of light produce the same number of photons per second. Source 1 has frequency $\nu_1$ and Source 2 has frequency $\nu_2$ (with $\nu_1 > \nu_2$). Which source produces a higher saturation current in the same photocell?

A metal surface is illuminated by monochromatic light of wavelength $\lambda$, and the de Broglie wavelength of the emitted photoelectrons with maximum kinetic energy is observed to be $\lambda_d$. When the wavelength of the incident light is reduced to $\frac{\lambda}{3}$, the de Broglie wavelength of the fastest photoelectrons becomes $\frac{\lambda_d}{2}$. Based on Einstein's photoelectric equation, the work function of the metal is:

A photoelectric cell is connected to a source of variable potential. When the light of wavelength 500 nm is incident, the current becomes zero at -0.6 V. When the wavelength is changed to 400 nm, the current becomes zero at:

Two radiations of frequencies $\nu_1$ and $\nu_2$ ($\nu_1 > \nu_2$) are incident on a metal surface. If the ratio of maximum kinetic energies of photoelectrons is $k$, the threshold frequency $\nu_0$ is:

The de Broglie wavelength of a particle is independent of its:

If a proton and an alpha particle have the same de Broglie wavelength, the ratio of their velocities $v_p / v_\alpha$ is:

When the velocity of a particle is increased to 3 times its initial value, the percentage decrease in its de Broglie wavelength is:

A bullet of mass $0.04 kg$ moving with speed $1 km/s$ has a de Broglie wavelength of the order of:

A physical quantity $X$ is defined as the product of the de Broglie wavelength $(\lambda)$ and the square root of the kinetic energy $(K)$ of a particle. If $X_e$, $X_p$, and $X_\alpha$ represent the values of this quantity for an electron, a proton, and an alpha particle respectively, which of the following relationships is correct?

A particle with mass $m$ and charge $q$ is accelerated by a potential $V$. If we double the potential, the momentum of the particle changes by a factor of:

Two particles of masses $m_1$ and $m_2$ have the same velocity. If $m_1 < m_2$, which particle has the larger de Broglie wavelength?

A particle of total energy $E$ moves in a region where its potential energy $V$ varies with position. At a specific point $A$, the potential energy is zero. At another point $B$, the potential energy is $\frac{3}{4}E$. If $\lambda_A$ and $\lambda_B$ are the de Broglie wavelengths of the particle at these points respectively, what is the ratio $\lambda_A : \lambda_B$?

A thermal neutron has a speed $v$ at temperature $T$. If the temperature is doubled, its new de Broglie wavelength becomes:

If the kinetic energy of a particle is tripled, its de Broglie wavelength becomes:

The work function is usually measured in which unit for practical convenience in atomic physics?

If the frequency of light incident on a metal surface is doubled (keeping it above threshold), the maximum kinetic energy of photoelectrons will:

The photoelectric effect can be explained by assuming that light:

The time lag between the incidence of light and the emission of photoelectrons is approximately:

In the 'Field Emission' mechanism illustrated below, a metal is specifically shaped into a sharp, pointed tip to facilitate the escape of electrons. What is the primary physical reason for using this sharp geometry when applying a high voltage?

A single monochromatic light source of wavelength $\lambda$ is directed at two different metals, $M_1$ and $M_2$, with threshold wavelengths $\lambda_1$ and $\lambda_2$ respectively. Based on the experimental results shown in the flowchart, which of the following inequalities correctly describes the relationship between these wavelengths?

According to Einstein, the photoelectric effect occurs because of:

The work function of aluminum is $4.2$ eV. If two photons, each of energy $2.5$ eV, strike an electron in the aluminum simultaneously, will the electron be emitted according to the standard photoelectric effect theory?

A photoelectric surface is illuminated by $5$ eV photons. The work function of the metal is $3$ eV. If the frequency of photons is doubled, the new stopping potential is:

The stopping potential of photoelectrons depends on:

The graph between stopping potential and frequency is a:

A vacuum is maintained inside the glass tube in the photoelectric experiment to:

The photoelectric current is zero at the stopping potential because:

When monochromatic light is replaced by light of a higher frequency (above threshold) but same intensity, the saturation current:

In the experimental study of the photoelectric effect, a retarding potential $V$ is applied to the collector plate relative to the emitter. Based on the logic of the experiment shown in the diagram below, which condition must the kinetic energy $K$ of an emitted photoelectron satisfy to be turned back before it can reach the collector?

The collector in a photoelectric experiment is also known as the:

Which of the following observations cannot be explained by the wave theory of light?

The photo-cathode of a cell is made of a metal with threshold frequency $2 \times 10^{14}$ Hz. When radiation of frequency $5 \times 10^{14}$ Hz is incident, what is the maximum possible kinetic energy of the photoelectrons? (Use $h = 6.63 \times 10^{-34}$ Js)

In a photoelectric experiment, the stopping potential for a certain metal is $V_0$ for light of frequency $\nu$. If the intensity of light is doubled but the frequency is reduced to $\nu/2$ (assuming $\nu/2$ is still above threshold), the new stopping potential will be:

Consider three metals with work functions $\phi_1 < \phi_2 < \phi_3$. If the same monochromatic radiation produces photoelectrons from all three, which metal will show the highest stopping potential?

Which of the following does NOT change for a photon during a collision with an electron?

The existence of the photon was confirmed by the experimental results of:

What happens to the wavelength of a photon if its energy is doubled?

The energy of a photon depends on which of the following?

The existence of photons is a proof of:

The work function of a metal is $2.5 \text{ eV}$. What is the maximum wavelength of a photon that can cause photoelectric emission from this metal?

If the energy of a photon is $10 \text{ eV}$, its frequency is of the order of:

If a light source is moving away from an observer, the frequency of the photons detected by the observer decreases. This implies that:

A photon of wavelength $\lambda$ has energy $E$. What is the energy of a photon having momentum $2p$?

If the momentum of a photon is increased by $P$, its wavelength decreases by $20\%$. The initial momentum of the photon was: