please solve question no 1 and 5
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(5). Energy of light absorbed in an photon = hcλabsorbedhcλabsorbed
Let n1n1 photons are absorbed
∴∴ Total energy absorbed = n1hcλabsorbedn1hcλabsorbed
Now E of light re-emitted out in one photon = hcλemittedhcλemitted
Let n2n2 photons are re-emitted then
∴∴ Total energy re-emitted out = n2hcλemittedn2hcλemitted
Eabsorbed×47100=Ere−emittedoutEabsorbed×47100=Ere−emittedout
hcλabsorbed×n1×47100=n2×hcλemittedhcλabsorbed×n1×47100=n2×hcλemitted
n2n1=47100×λemittedλabsorbedn2n1=47100×λemittedλabsorbed
=47100×50804530=47100×50804530
n2n1n2n1 = 0.527
(2). Power of bulb, P = 25 Watt = 25 Js–1
Energy of one photon, E = hν
Substituting the values in the given expression of E:
E = 34.87 × 10–20 J
Rate of emission of quanta per second
Let n1n1 photons are absorbed
∴∴ Total energy absorbed = n1hcλabsorbedn1hcλabsorbed
Now E of light re-emitted out in one photon = hcλemittedhcλemitted
Let n2n2 photons are re-emitted then
∴∴ Total energy re-emitted out = n2hcλemittedn2hcλemitted
Eabsorbed×47100=Ere−emittedoutEabsorbed×47100=Ere−emittedout
hcλabsorbed×n1×47100=n2×hcλemittedhcλabsorbed×n1×47100=n2×hcλemitted
n2n1=47100×λemittedλabsorbedn2n1=47100×λemittedλabsorbed
=47100×50804530=47100×50804530
n2n1n2n1 = 0.527
(2). Power of bulb, P = 25 Watt = 25 Js–1
Energy of one photon, E = hν
Substituting the values in the given expression of E:
E = 34.87 × 10–20 J
Rate of emission of quanta per second
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