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The de-Broglie wave length of a particle having velosityof 2.25 $108 ms^ {–1 } $ , is the same value of a photon wavelength, then the ratio of kinetic energy and photon energy of the particle is.…..(take c = $ 3 \times 10^8 ms^{-1} $)

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Explanation

$ { K.E of practical \over K.E of photon} = { {1 \over 2 } mv^2 \over hf } = { {1 \over 2 } mv.v \over {hc \over \lambda} } = { {1 \over 2 } Pv \lambda \over hc }$ $ = { {1 \over 2 } {h \over \lambda } \lambda v \over hc } = { v \over 2c} ={ 2.25 \times 10^8 \over 2 \times 3 \times 10^8 } = {3 \over 8 } $

The ration of de - Begli wavelengths of molecules of hydrogen and helium which are at temperature $ 27 ^ \circ Cand 127 ^ \circ C $ respectively is...................

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Explanation

$ { 1 \over 2 } mv_m^2 = { hc \over \lambda} - \phi $ $ = 2 - \phi (eV) ....(1) $ $ {1 \over 2 } m 4 v_m^2 = { hc \over {3 \over 4 } \lambda } - \phi $ $ = { 4 \over 3 } \times 2 - \phi = {8 \over 3 } -\phi $ $ \therefore 4 ( { 1 \over 2 } mv_m^2 ) = { 8 \over 3 } - \phi $

A photon, an electron and a uranium nucleus all have same wavelength. The one with the most energy..................

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A light of frequency 1.5 times the threshold frequency,is incident on photo-sensitive material. If the frequency is halved and intensity is doubled, the photoelectric current becomes....................

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Explanation

final friquency $ { 1.5 \over 2 } f_0 = 0.75 f_0 < f_0 $ therefore photoelectry current is zero

An electron with rest mass m0 moves with a speed of 0.8 C. Its mass, when it moves with this speed is...............

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Explanation

$ m = { m_0 \over \sqrt {1 -{v^2 \over c ^2 }} } = { m_o \over \sqrt { 1 - { 0.64 \times 9 \times 10^{16} \over 9 \times 10^{16} }}}$ $ = { m_0 \over \sqrt 0.36 } = { m_0 \over 0.6 } = { 10m_0 \over 6 } = { 5m_0 \over 3 } $

  1. The cathode of a photoelectric cell is changed such that the work function changes from $W_1$ . If the currents before and after change are $ I_1 $ and $I_2$ , all other conditions remaining unchanged, then assuming$ hf > W _2 $
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The mass of a particle is 400 times than that of an electron and charge is double. The partcile is acceleratied by 5V. Initially the particle remained at rest, then its final kinetic energy is.......

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Explanation

The kinetic energy (K.E) gained by a charged particle when accelerated through a potential difference V is given by $K.E = qV$. Here the charge of the particle is double that of an electron (2e) and the potential difference is 5V. So, the K.E = $2e \times 5V = 10$ eV.

The work function of a metal is 1 eV. Light of wavelength $ 3000 A ^ \circ $ is incident on this metalsurface. The maximum velocity of emitted photoelection will be..................

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Explanation

$ { 1 \over 2 } mv^2 max = { hc \over \lambda } - \phi $ $ = ( {6.62 \times 10^{-34} \times 3.0 \times 10^8 \over 3.0 \times 10^{-7} \times 1.6 \times 10^{-19}} -1) eV $ $ = 3.1375 eV = 5.02 \times 10 h -19 J $ $ \therefore V_{max} = \sqrt { 2 \times 5.0 \times 2 \times 10^{-19} \over 9.1 \times 10^{-31 } }$ $ ( \therefore m = 9.1 \times 10^{-31} kg )$ $ = 1.05 \times 10^6 = 1 \times 10^6 ms^{-1} J$

The work function for tungsten and solidum are 4.5 eV and 2.3 eV respectively. If the threshold wavelength $ \lambda _0 $ for sodium is $ 5460 A ^ \circ $ the value of $ \lambda_0$ for tungsten is....................

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Explanation

$ \phi = hf _0 $ $ = { hc \over \lambda_0 } J = { hc \over \lambda_0 e } eV $ $ \therefore \lambda_0 \alpha {1 \over 0 } $ $ \therefore {\varphi_0( tungsten) \over \varphi _0 (sodium) }= { \varphi (tungsten) \over \varphi (sodium) } ={ 2.3 \over 4.5} $ $ \therefore \lambda_0 tungsten = { 2.3 \over 4.5 } \times 5460 A ^ \circ $ $ = 2790.6 = 2791 A ^ \circ $

In the Davissionand Germer's experiment the filament of electron gun is coated with.........

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Explanation

In the Davisson and Germer experiment, the filament of the electron gun is coated with barium oxide (BaO). This coating helps in the efficient emission of electrons when heated.

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