When electromagnetic radiation of wavelength $300 \, nm$ falls on the surface of a metal,electrons are emitted with the kinetic energy of $1.68 \times 10^5 \, J \, mol^{-1}$. What is the minimum energy needed to remove an electron from the metal? $(h = 6.626 \times 10^{-34} \, J \, s, c = 3 \times 10^8 \, m \, s^{-1}, N_A = 6.022 \times 10^{23} \, mol^{-1})$

  • A
    $2.31 \times 10^6 \, J \, mol^{-1}$
  • B
    $3.84 \times 10^4 \, J \, mol^{-1}$
  • C
    $3.84 \times 10^{-19} \, J \, mol^{-1}$
  • D
    $2.31 \times 10^5 \, J \, mol^{-1}$

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If the energies of two photons are in the ratio of $3:2$,their wavelengths will be in the ratio of

Arrange the following types of radiation in increasing order of frequency:
$(a)$ radiation from microwave oven
$(b)$ amber light from traffic signal
$(c)$ radiation from $FM$ radio
$(d)$ cosmic rays from outer space
$(e)$ $X$-rays

Explain the visible spectrum and the continuous spectrum.

Match the following:
List-$I$ List-$II$
$(1)$ $X$-rays $(A)$ $\nu = 10^0 - 10^4 \ Hz$
$(2)$ Ultraviolet $(UV)$ rays $(B)$ $\nu = 10^{10} \ Hz$
$(3)$ Long radio waves $(C)$ $\nu = 10^{16} \ Hz$
$(4)$ Microwave $(D)$ $\nu = 10^{18} \ Hz$

Assertion : All photons possess the same amount of energy.
Reason : Energy of photon does not depend upon wavelength of light used.

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