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JEE Main 20146 April
Exam
JEE Main
Year
2014
Date
6 April
Subject
Physics
Chapter
Atomic Physics

JEE Main 2014 · 6 April · Physics · Atomic Physics

The radiation corresponding to 3 → 2 transition of hydrogen atom...

The radiation corresponding to 3→23 \to 2 transition of hydrogen atom falls on a metal surface to produce photoelectrons. These electrons are made to enter a magnetic field of 3×10−4T3 \times 1 {0}^{- 4} T. If the radius of the largest circular path followed by these electrons is 10.0 mm, the work function of the metal is close to :

Options

  1. A1.8 eV
  2. B1.1 eV
  3. C0.8 eV
  4. D1.6 eV

Correct answer

B. 1.1 eV

Step-by-step solution

We know that

\text{R} = \dfrac{\text{m} υ}{\text{Bq}}

∴ υ = \dfrac{\text{Bqr}}{\text{m}}

∴ \text{KE} = \dfrac{1}{2} \text{m} {\text{v}}^{2}

=B2q2R22m= \dfrac{{\text{B}}^{2} {\text{q}}^{2} {\text{R}}^{2}}{2m}

= 0.79 eV

Now from photoelectric equation

E=ϕ+KE\text{E} = ϕ + \text{KE}

∴ ϕ = \text{E} - \text{KE}

=1.89−0.79= \text{1.89} - \text{0.79}

=1.1 eV= \text{1.1 eV}
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