Energy from the sun is received on earth at the rate of 2 cal cm - 2 min - 1. If average wavelength of solar light be taken at 5500 mathringA then how many photons are received on the earth cm - 2 min - 1 ? ( h = 6.6 × 10 - 34 Js, 1 cal = 4.2 J )

Question

Energy from the sun is received on earth at the rate of 2 cal cm - 2 min - 1. If average wavelength of solar light be taken at 5500 mathringA then how many photons are received on the earth cm - 2 min - 1 ? ( h = 6.6 × 10 - 34 Js, 1 cal = 4.2 J ) (A)  1.5 × 10 13  (B)  2.9 × 10 13  (C)  2.3 × 10 19  (D)  1.75 × 10 19

Tardigrade Admin · Accepted Answer

Energy received from the sun = 2 cal cm - 2 ( min) - 1 = 8.4 J cm - 2 ( min) - 1 Energy of 1 photon received from sun, E = ( hc / λ ) = ( 6.6 × 10 - 34 × 3 × 108 / 5500 × 10 - 10 ) = 3.6 × 10 - 19 J ∴ Number of photons reaching the earth per cm2 per minute will be n = ( energy received from sun / energy of one photon ) n = ( 8.4 / 3.6 × 10 - 19 ) = 2.3 × 10 19

Q. Energy from the sun is received on earth at the rate of 2 cal $c m^{- 2} mi n^{- 1}$ . If average wavelength of solar light be taken at 5500 $\overset{˚}{A}$ then how many photons are received on the earth $c m^{- 2} mi n^{- 1}$ ?
$(h = 6.6 \times 1 0^{- 34}$ Js, 1 cal = $4.2 J)$

$1.5 \times 1 0^{13}$

$2.9 \times 1 0^{13}$

$2.3 \times 1 0^{19}$

$1.75 \times 1 0^{19}$

Q. Energy from the sun is received on earth at the rate of 2 cal cm−2min−1. If average wavelength of solar light be taken at 5500 A˚ then how many photons are received on the earth cm−2min−1 ? (h=6.6×10−34 Js, 1 cal =4.2J)

1.5×1013

2.9×1013

2.3×1019

1.75×1019

Q. Energy from the sun is received on earth at the rate of 2 cal $c m^{- 2} mi n^{- 1}$ . If average wavelength of solar light be taken at 5500 $\overset{˚}{A}$ then how many photons are received on the earth $c m^{- 2} mi n^{- 1}$ ?
$(h = 6.6 \times 1 0^{- 34}$ Js, 1 cal = $4.2 J)$

$1.5 \times 1 0^{13}$

$2.9 \times 1 0^{13}$

$2.3 \times 1 0^{19}$

$1.75 \times 1 0^{19}$