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Rate of Reaction

A plot of the...

Question

A plot of the kinetic energy $(1 / 2 m v^{2})$ of ejected electrons as a function of the frequency (v) of incident radiation for four alkali metals $(M_{1}, M_{2}, M_{3}, M_{4})$ is shown below:
The alkali metals $M_{1}, M_{2}, M_{3}$ and $M_{4}$ are respectively

Li, Na, K and Rb

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Rb, K, Na and Li

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Na, K, Li and Rb

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Rb, Li, Na and K

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Solution

The correct option is B Rb, K, Na and Li
$\frac{1}{2} m v^{2} = h v - W$
High is the thershold frequency of metal greater will be the work function.
So,
$M_{1} \to R b; M_{2} \to K; M_{3} \to N a; M_{4} \to L i$

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(\frac{1}{2} m v^{2})

(M_{1}, M_{2}, M_{3}, M_{4})

M_{1}, M_{2}, M_{3}

M_{4}

m_{1}, m_{2}, m_{3}

m_{4}

a_{1} = 2 i - j + k, a_{2} = 3 i - 4 j - 4 k,

a_{3} = i + j - k

a_{4} = - i + 3 j + k,

m_{1}, m_{2}, m_{3}

m_{4}

The order of decreasing ionisation enthalpy in alkali metals is
(a) Na> Li > K> Rb (b) Rb< Na< K< Li
(c) Li > Na> K> Rb (d) K< Li < Na < Rb

M 1, M 2, M 3

M 4

m_{1}, m_{2}, m_{3}, m_{4}

_{1} = ¯ ¯¯¯ ¯ 2 i - ¯ j + ¯ ¯ ¯ k,_{2} = ¯ ¯¯¯ ¯ 3 i - ¯ ¯¯¯ ¯ 4 j - ¯ ¯¯¯¯ ¯ 4 k,_{3} = - ¯ i + ¯ j - ¯ ¯ ¯ k,_{4} = - ¯ i + 3 ¯ j + ¯ ¯ ¯ k

m_{1}, m_{2}, m_{3}, m_{4}

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