List of top Physics Questions on Dual nature of matter asked in JEE Main

Choose correct option :
(A) Number of photons required for a light beam of 2000 pm wavelength and 1 Joule energy is $1.01 \times 10^{16}$.
(B) Light with wavelength 300 nm has energy $E_1$ and for wavelength 900 nm has energy $E_2$, then $E_1/E_2 = 1/3$.
(C) Frequency of light is $4.5 \times 10^{16}$ Hz then its wavelength is $6.7 \times 10^{-9}$ m.
(D) If electrons and protons are accelerated by same potential difference, then their de-Broglie wavelength are equal.

The ratio of de Broglie wavelength of a deuteron with kinetic energy $E$ to that of an alpha particle with kinetic energy $2E$ is $n:1$. (Assume mass of proton $=$ mass of neutron.) Find the value of $n$.

The equation of the electric field of an electromagnetic wave propagating through free space is given by: $E = \sqrt{377} \sin(6.27 \times 10^3 t - 2.09 \times 10^{-5} x)$ N/C. The average power of the electromagnetic wave is (1/a) W/m². The value of a is_______. (Take $\sqrt{\mu_0/\varepsilon_0} = 377$ in SI units)}

Radiation containing frequencies $6 \times 10^{14}\,\text{Hz}$ and $9 \times 10^{14}\,\text{Hz}$ falls on a metal surface with work function $2.5\,\text{eV}$. Calculate the maximum energy of emitted electrons (in eV).

When a metal surface is illuminated by light of wavelength $ \lambda $, the stopping potential is 8V. When the same surface is illuminated by light of wavelength $ 3\lambda $, the stopping potential is 2V. The threshold wavelength for this surface is:

A convex lens of focal length 40 cm forms an image of an extended source of light on a photo-electric cell. A current $ I $ is produced. The lens is replaced by another convex lens having the same diameter but focal length 20 cm. The photoelectric current now is:

If all the particles have same kinetic energy, The relation between the wavelengths of alpha particle, electron and proton is:

α-particle, proton & electron have same kinetic energy. Select correct order of their de-Broglie wavelength.

The kinetic energy of an electron, α-particle and a proton are given as 4K, 2K and K respectively. The de-Broglie wavelength associated with electron (λe) α-particle (λα) and the proton (λp) are as follows :

When light of frequency twice the threshold frequency is incident on the metal plate, the maximum velocity of emitted electron is v₁. When the frequency of incident radiation is increased to five times the threshold value, the maximum velocity of emitted electron becomes v₂. If v₂ = x v₁, the value of x will be ________.

The de Broglie wavelengths for an electron and a photon are λ_e and λ_p, respectively. For the same kinetic energy of electron and photon, which of the following presents the correct relation between the de Broglie wavelengths of two?

A particle of mass 4M at rest disintegrates into two particles of mass M and 3M respectively having non zero velocities. The ratio of de-Broglie wavelength of particle of mass M to that of mass 3M will be :

The speed of electrons in a scanning electron microscope is $1 \times 10^7$ ms⁻¹. If the protons having the same speed are used instead of electrons, then the resolving power of scanning proton microscope will be changed by a factor of:

A moving proton and electron have the same de-Broglie wavelength. If K and P denote the K.E. and momentum respectively. Then choose the correct option :

Consider two separate ideal gases of electrons and protons having same number of particles. The temperature of both the gases are same. The ratio of the uncertainty in determining the position of an electron to that of a proton is proportional to :

An $\alpha$ particle and a proton are accelerated from rest by a potential difference of 200 V. After this, their de Broglie wavelengths are $\lambda_\alpha$ and $\lambda_p$ respectively. The ratio $\lambda_p/\lambda_\alpha$ is :

Statement I : Two photons having equal linear momenta have equal wavelengths. Statement II : If the wavelength of photon is decreased, momentum and energy will also decrease.

What should be the order of arrangement of de-Broglie wavelength of electron ($\lambda_e$), an $\alpha$-particle ($\lambda_\alpha$) and proton ($\lambda_p$) given that all have the same kinetic energy?

A particle is travelling 4 times as fast as an electron. Assuming the ratio of de-Broglie wavelength of a particle to that of electron is 2 : 1, the mass of the particle is :

The de Broglie wavelength of a proton and α-particle are equal. The ratio of their velocities is :