Photoelectric emission is observed from a surface for frequencies `v_(1) "and" v_(2)` of the incident radiation `(v_(1) gt v_(2))` . If maximum kinetic energies of the photo electrons in the two cases are in the ratio `1:K` , then the threshold frequency is given by:A. ` ( v_2 - v_1)/( k- 1) `B. ` ( v_2 - v_2)/( k- 1) `C. ` ( v_2 - v_1)/( k- 1) `D. ` ( v_2 - v_1)/( k- 1) `

Photoelectric emission is observed from a surface for frequencies `v_(

1.	Photoelectric emission is observed from a surface for frequencies `v_(1) "and" v_(2)` of the incident radiation `(v_(1) gt v_(2))` . If maximum kinetic energies of the photo electrons in the two cases are in the ratio `1:K` , then the threshold frequency is given by:A. ` ( v_2 - v_1)/( k- 1) `B. ` ( v_2 - v_2)/( k- 1) `C. ` ( v_2 - v_1)/( k- 1) `D. ` ( v_2 - v_1)/( k- 1) `
Answer» Correct Answer - B ` hv_1 = hv_0 + 1/2 mu_1^2` …(1) ` hv_2 = hv_0 + 1/2 mu_1&2` …(2) ` :. 1/2 mi_1^2 = 1/k = 1/k ( 1/2 mu_2^2)` `:.` From eq.(i) ` hv_1 = hv_0 + 1/( 2k) mu_2^2` …(iii) or ` 1/2 mu_2^2 = khv_1 - khv_0` ..(iv) By eqws . (ii) and (iv) ` hv_2 = hv_0 - khv_0 + khv_1` or ` v_0 ( 1 - k ) = v_2 - kv_1` or ` v_0 = ( kv_1 - v_2)/( k -1)`.

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