The photoelectric effect is described by Einstein's photoelectric equation: \[ h\nu = \phi + \text{KE}_{\text{max}}, \] where:
\( h \nu \) is the energy of the incident photon,
\( \phi \) is the work function (minimum energy required to emit an electron),
\( \text{KE}_{\text{max}} \) is the maximum kinetic energy of the emitted photoelectrons.
Analysis of statements:
\( A: \) True. The photocurrent (number of photoelectrons emitted per second) is proportional to the intensity of the incident radiation, which determines the number of photons.
\( B: \) False. The maximum kinetic energy of photoelectrons depends on the frequency, not the intensity.
\( C: \) True. The maximum kinetic energy depends on the frequency of the incident light (\( \nu \)) through the equation \( \text{KE}_{\text{max}} = h\nu - \phi \).
\( D: \) False. The emission of photoelectrons depends on the frequency of the light exceeding the threshold frequency, not intensity.
\( E: \) False. The maximum kinetic energy depends on the frequency.
Final Answer: The correct statements are: \[ \boxed{\text{(3) \( A \) and \( C \) only}}. \]
Given below are two statements: one is labelled as Assertion (A) and the other one is labelled as Reason (R).
Assertion (A): Emission of electrons in the photoelectric effect can be suppressed by applying a sufficiently negative electron potential to the photoemissive substance.
Reason (R): A negative electric potential, which stops the emission of electrons from the surface of a photoemissive substance, varies linearly with the frequency of incident radiation.
In light of the above statements, choose the most appropriate answer from the options given below:
0.01 mole of an organic compound (X) containing 10% hydrogen, on complete combustion, produced 0.9 g H₂O. Molar mass of (X) is ___________g mol\(^{-1}\).
If the system of equations \[ (\lambda - 1)x + (\lambda - 4)y + \lambda z = 5 \] \[ \lambda x + (\lambda - 1)y + (\lambda - 4)z = 7 \] \[ (\lambda + 1)x + (\lambda + 2)y - (\lambda + 2)z = 9 \] has infinitely many solutions, then \( \lambda^2 + \lambda \) is equal to: