Dual Nature Of Matter

The resistance of a conductor is given by the formula: Where: - is the resistivity of the material, - is the length of the conductor, - is the cross-sectional area. Now, if the length is increased by a factor of 3 and the area is decreased by a factor of 3, the new resistance will be: Thus, the new resistance is 9 times the original resistance.

Step 1: Understanding the Concept:
The de Broglie hypothesis states that every moving particle has an associated wave nature. The wavelength ( ) is inversely proportional to the square root of the particle's kinetic energy ( ).
Step 2: Key Formula or Approach:
Therefore:
Step 3: Detailed Explanation:
1. Given: Å and eV.
2. New kinetic energy MeV = eV.
3. Substitute the values into the ratio formula:
Step 4: Final Answer:
The new de Broglie wavelength is 2 Å.