Mock Test 1 — Dual Nature of Matter and Radiation

The number of photons emitted by a $25$ W lamp ($\lambda = 500$ nm) per second:

The threshold frequency for a metal is $5 \times 10^{14}$ Hz. Light of $\nu = 8 \times 10^{14}$ Hz incident; $K_{\max}$:

The maximum velocity of photoelectron depends on:

An electron and proton have same KE. Ratio of de Broglie wavelengths $\lambda_e/\lambda_p$:

The photoelectric current is independent of:

Photons of $5$ eV are incident on photocathode of $\phi = 2$ eV. Maximum KE:

The work function of a metal:

Heisenberg uncertainty principle reads:

The momentum of a photon of energy $E$:

de Broglie wavelength of electron through $25$ V:

The threshold wavelength of a metal is $620$ nm. Work function in eV (rounded integer):

Two photons of frequencies $\nu$ and $2\nu$ are incident on same metal. If KE doubles, find $\phi/h\nu$:

An electron moves at $v = 6 \times 10^6$ m/s. de Broglie wavelength in $10^{-10}$ m (rounded integer; use $h/m_e = 1.1 \times 10^{-4}$ approximate):

Assertion (A): Photoelectric emission is instantaneous. Reason (R): Each photon interacts with one electron and delivers all its energy.

Assertion (A): Matter waves cannot be observed for macroscopic objects. Reason (R): de Broglie wavelength is inversely proportional to mass, becoming very small for large masses.