The value of the work function of a metal $X$ is $3.1 \ eV$. What is its threshold frequency (in $Hz$)? (Given: $h = 6.62 \times 10^{-34} \ J \cdot s$)
- A$6.49 \times 10^{13}$
- B$5.49 \times 10^{13}$
- C$6.49 \times 10^{14}$
- D$7.49 \times 10^{14}$
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Match the spectral lines given in List-$I$ with their corresponding lower energy transitions given in List-$II$.
List-$I$ List-$II$ $(1)$ Lyman $(A)$ $n = 5 \to n = 4$ $(2)$ Paschen $(B)$ $n = 3 \to n = 2$ $(3)$ Brackett $(C)$ $n = 6 \to n = 5$ $(4)$ Balmer $(D)$ $n = 4 \to n = 3$ $(E)$ $n = 7 \to n = 6$
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| $(1)$ Lyman | $(A)$ $n = 5 \to n = 4$ |
| $(2)$ Paschen | $(B)$ $n = 3 \to n = 2$ |
| $(3)$ Brackett | $(C)$ $n = 6 \to n = 5$ |
| $(4)$ Balmer | $(D)$ $n = 4 \to n = 3$ |
| $(E)$ $n = 7 \to n = 6$ |
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