Wave number and frequency of yellow radiation having wavelength 5800 mathringA are

Question

Wave number and frequency of yellow radiation having wavelength 5800 mathringA are (A) 1.66 × 10-8 cm -1 ; 7.21 × 1014 s -1 (B) 1.92 × 10-4 cm -1 ; 5.172 × 1019 s -1 (C) 1.724 × 104 cm -1 ; 5.172 × 1014 s -1 (D) 2.246 × 104 cm -1 ; 1.72 × 1010 s -1

Tardigrade Admin · Accepted Answer

λ=5800 mathringA=5800 × 10-8 cm barv=(1/λ)=(1/5800 × 10-8)=(1/58) × 106 =(100/58 × 10-4)=1.724 × 104 cm -1 underset text(frequency)v =(c/λ)=(3 × 1010 cm / s /5800 × 10-8 cm ) =(30,000/5800) × 1014 =5.172 × 1014 s -1

Q. Wave number and frequency of yellow radiation having wavelength $5800 \overset{˚}{A}$ are

$1.66 \times 1 0^{- 8} c m^{- 1}; 7.21 \times 1 0^{14} s^{- 1}$

$1.92 \times 1 0^{- 4} c m^{- 1}; 5.172 \times 1 0^{19} s^{- 1}$

$1.724 \times 1 0^{4} c m^{- 1}; 5.172 \times 1 0^{14} s^{- 1}$

$2.246 \times 1 0^{4} c m^{- 1}; 1.72 \times 1 0^{10} s^{- 1}$

Q. Wave number and frequency of yellow radiation having wavelength 5800A˚ are

1.66×10−8cm−1;7.21×1014s−1

1.92×10−4cm−1;5.172×1019s−1

1.724×104cm−1;5.172×1014s−1

2.246×104cm−1;1.72×1010s−1

λ=5800A˚=5800×10−8cm vˉ=λ1​=5800×10−81​=581​×106 =58×10−4100​=1.724×104cm−1 (frequency)v​=λc​=5800×10−8cm3×1010cm/s​ =580030,000​×1014 =5.172×1014s−1

Q. Wave number and frequency of yellow radiation having wavelength $5800 \overset{˚}{A}$ are

$1.66 \times 1 0^{- 8} c m^{- 1}; 7.21 \times 1 0^{14} s^{- 1}$

$1.92 \times 1 0^{- 4} c m^{- 1}; 5.172 \times 1 0^{19} s^{- 1}$

$1.724 \times 1 0^{4} c m^{- 1}; 5.172 \times 1 0^{14} s^{- 1}$

$2.246 \times 1 0^{4} c m^{- 1}; 1.72 \times 1 0^{10} s^{- 1}$