enEnglishguગુજરાતી
GUJCET · Physics · Dual Nature of Radiation and Matter
If the energy of photons corresponding to wavelength of \(6000 \)Å is \(3.2 \times 10-19 \mathrm{~J}\). The photon energy for wavelength \(4000\)Å will be _________ .
- A \(4.44 \times 10^{-19} \mathrm{~J}\)
- B \(2.22 \times 10^{-19} \mathrm{~J}\)
- C \(1.11 \times 10^{-19} \mathrm{~J}\)
- D \(4.80 \times 10^{-19} \mathrm{~J}\)
Answer & Solution
Correct Answer
(D) \(4.80 \times 10^{-19} \mathrm{~J}\)
Step-by-step Solution
Detailed explanation
(D) \(4.80 \times 10^{-19} \mathrm{~J}\)
from \(\mathrm{E}=\frac{h c}{\lambda}\)
\(
\begin{aligned}
\frac{E_{2}}{E_{1}} & =\frac{\lambda_{1}}{\lambda_{2}} \\
\frac{E_{2}}{3.2 \times 10^{-19}} & =\frac{6 \times 10^{-7}}{4 \times 10^{-7}} \\
E_{2} & =\frac{6 \times 3.2 \times 10^{-19}}{4} \\
E_{2} & =4.80 \times 10^{-19} \mathrm{~J}
\end{aligned}
\)
from \(\mathrm{E}=\frac{h c}{\lambda}\)
\(
\begin{aligned}
\frac{E_{2}}{E_{1}} & =\frac{\lambda_{1}}{\lambda_{2}} \\
\frac{E_{2}}{3.2 \times 10^{-19}} & =\frac{6 \times 10^{-7}}{4 \times 10^{-7}} \\
E_{2} & =\frac{6 \times 3.2 \times 10^{-19}}{4} \\
E_{2} & =4.80 \times 10^{-19} \mathrm{~J}
\end{aligned}
\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- A uniform electric field is prevalling on X - direction in certain region. The co-ordinates of points P , Q and R are (0,0),(2,0) and (0,2) respectively. Which of the following alternatives is true for the potentials at these points?
GUJCET 2017 Easy - The quantity that remains unchanged in the output with respect to the input in an ideal transformer is ____________ .GUJCET 2010 Hard
- A short bar magnet placed with its axis at \(30^{\circ}\) and a uniform external magnetic field of 0.5 T experience torque of magnitude equal to \(4.5 \times 10^{-2} J\). Then the magnitude of the magnetic moment will be _________.GUJCET 2024 Easy
- If the tube-length \(( L )\) of a compound microscope increases, then its magnification ___________ .GUJCET 2025 Hard
- The magnetic field due to short bar magnet of the magnetic dipole moment M and length 2 l , on the axis at a distance \(Z\) (where \(Z \gg l\) ) from the centre of the magnet is given by _______ .GUJCET 2011 Medium
- The horizontal component of the Earth's magnetic field at a certain plate is \(3 \times 10^{-5} T\) and the direction of the field is from the geographic South to the geographic North. A very long straight conductor is carrying a steady current of 1 A . What is the force per unit length on it when it is placed on a horizontal table and the direction of current is South to North?GUJCET 2025 Hard
More PYQs from GUJCET
- Which species extinction in the last 500 years was due to over exploitation by humans? (GUACET 2012)GUJCET 2022 Medium
- An electron is projected with uniform velocity along the axis of current carrying long solenoid. Which of the following is true ?GUJCET 2023 Medium
- If molality of a solution is 0.05 and elevation in boiling point is 0.16 K then, what is the molal elevation constant of the solvent ?GUJCET 2019 Easy
- If \(A=\left[\begin{array}{ll}0 & 1 \\ 1 & 0\end{array}\right]\), then \((A+I)^3+(A-I)^3=\) ___________ .GUJCET 2025 Hard
- \(KMnO _4\) acts as on oxidising agent in acidic medium. The number of moles of \(KMnO _4\) that will be needed to react with one mole of sulphide ion in acidic solution is _____ ?GUJCET 2024 Medium
- If \(A=\left[\begin{array}{rrr}1 & -1 & 1 \\ 2 & 1 & -3 \\ 1 & 1 & 1\end{array}\right], 10 B=\left[\begin{array}{rrr}4 & 2 & 2 \\ -5 & 0 & \alpha \\ 1 & -2 & 3\end{array}\right]\) and \(B\) is inverse of matrix \(A\) then, \(\alpha\) is equal to ____________ .GUJCET 2022 Hard