Given below are two statements
Statement$-I :$ Two photons having equal linear momenta have equal wavelengths.
Statement$-II :$ If the wavelength of photon is decreased, then the momentum and energy of a photon will also decrease.
In the light of the above statements, choose the correct answer from the options given below.
Both Statement $I$ and Statement $II$ are true
Statement $I$ is false but Statement $II$ is true
Both Statement $I$ and Statement $II$ are false
Statement $I$ is true but Statement $II$ is false
Assertion : The energy $(E)$ and momentum $(p)$ of a photon are related by $p = E/c$.
Reason : The photon behaves like a particle.
The work function of a substance is $3.0\ \mathrm{eV}$. The longest wavelength of light that can cause the emission of photoelectrons from this substance is approximately:
The work function of aluminium is $4.2eV.$ If two photons, each of energy $3.5 eV$strike an electron of aluminium, then emission of electrons will be
A $100 \;W$ sodium lamp radiates energy uniformly in all directions. The lamp is located at the centre of a large sphere that absorbs all the sodium light which is incident on it. The wavelength of the sodium light is $589\; nm$.
$(a)$ What is the energy per photon associated with the sodium light?
$(b)$ At what rate are the photons delivered to the sphere?
In a photoemissive cell with executing wavelength $\lambda $, the fastest electron has speed $v.$ If the exciting wavelength is changed to $\frac{{3\lambda }}{4}$, the speed of the fastest emitted electron will be