In astronomical observations, signals observed from the distant starts are generally weak. If the photon detector receives a total of 3.15 x 10^-18 J from the radiations of 600 nm, calculate the number of photons received by the detector.

Solution

Energy (E) of one photon = hv = $straight h straight c over straight lambda$ ...(1)
Here $straight h space equals space 6.626 space cross times space 10 to the power of negative 34 end exponent Js semicolon space space space straight c space equals space 3 space cross times space 10 to the power of 8 space ms to the power of negative 1 end exponent semicolon space$
$straight lambda space equals space 600 space nm space equals space 600 space cross times space 10 to the power of negative 9 end exponent straight m$
Substituting the values in eq. (1), we have
$straight E space equals fraction numerator left parenthesis 6.626 space cross times 10 to the power of negative 34 end exponent space Js right parenthesis space cross times space left parenthesis 3 cross times 10 to the power of 8 space ms to the power of negative 1 end exponent right parenthesis over denominator left parenthesis 600 space cross times space 10 to the power of negative 9 end exponent straight m right parenthesis end fraction space space equals space 3.313 space cross times space 10 to the power of negative 19 end exponent straight J Total space energy space received space equals space 3.15 space cross times space 10 to the power of negative 18 end exponent straight J therefore space space Number space of space photons space received space space space space space space space space space space space space space space equals fraction numerator 3.15 space cross times space 10 to the power of negative 18 end exponent over denominator 3.313 space cross times space 10 to the power of negative 19 end exponent straight J end fraction space equals 9.51 space equals space 10$

Some More Questions From Structure of Atom Chapter

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Structure Of Atom

In astronomical observations, signals observed from the distant starts are generally weak. If the photon detector receives a total of 3.15 x 10^-18 J from the radiations of 600 nm, calculate the number of photons received by the detector.

Some More Questions From Structure of Atom Chapter

Name the particles which determine the mass of an element.

What are α-particles?

Why were neutrons discovered very late?

What are the fundamental particles present in a neutral atom having atomic number greater than 1?

Do protons and neutrons have identical mass?

When α-particles are sent through a thin metal foil, most of them go straight through the foil. What inference do you draw from it?

What did Rutherford's experiment on scattering of particles show for the first time?

What is Plum-Pudding model of the atom?

Are neutrons present in all atoms?

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Structure Of Atom

In astronomical observations, signals observed from the distant starts are generally weak. If the photon detector receives a total of 3.15 x 10-18 J from the radiations of 600 nm, calculate the number of photons received by the detector.

Some More Questions From Structure of Atom Chapter

Name the particles which determine the mass of an element.

What are α-particles?

Why were neutrons discovered very late?

What are the fundamental particles present in a neutral atom having atomic number greater than 1?

Do protons and neutrons have identical mass?

When α-particles are sent through a thin metal foil, most of them go straight through the foil. What inference do you draw from it?

What did Rutherford's experiment on scattering of particles show for the first time?

What is Plum-Pudding model of the atom?

Are neutrons present in all atoms?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

In astronomical observations, signals observed from the distant starts are generally weak. If the photon detector receives a total of 3.15 x 10^-18 J from the radiations of 600 nm, calculate the number of photons received by the detector.