"It is not possible to determine
simultaneously the exact position and exact moment of a particle as small as an
electron"

**ILLUSTRATIVE EXAMPLE (1):**If error in position of an electron is 0.33 pm, what will be the error in its velocity? (1 pm=10

^{-12})

**ILLUSTRATIVE EXAMPLE (2):**If H

^{+}(ion) is accelerated to a final velocity of 6.62×10

^{+6}meter per second and error in velocity is 1% then find uncertainty in position is?

**ILLUSTRATIVE EXAMPLE (3):**

**Radius of nucleus is the order of 10**

^{-13}cm (10

^{-15 }m) and thus on the basis of Heisenberg's uncertainty principle .show that electron cannot exist within the atomic nucleus?

**SOLUTION:**

**ILLUSTRATIVE EXAMPLE (4):**If uncertainty in position and momentum of electron are equal then prove that uncertainty in velocity is ...

**SOLUTION:**

**ILLUSTRATIVE EXAMPLE (5):**If uncertainty in momentum of an electron are three times of uncertainty in position then uncertainty in velocity of electron would be

**SOLUTION:**

**ILLUSTRATIVE EXAMPLE (6):**

**What is the uncertainty of Photon in position of wave length 500 A .If wave length is known to an accuracy of 1pm.**

**SOLUTION:**

**ILLUSTRATIVE EXAMPLE (7):**An electron is accelerated by (V) volt and following graph is obtained calculate the (V) voltage?

**SOLUTION:**

**ILLUSTRATIVE EXAMPLE (8):**A

**electron having velocity 2×10**

^{+6}m/s has uncertainty in kinetic energy is 6.62/π×10

^{-34}j, than calculate the uncertainty in position of electron in Anstrom .

**SOLUTION:**

**ILLUSTRATIVE EXAMPLE (9):**Two particles A and B are in motion .if the wave length associated with particle A is 5×10-

^{8}m. Calculate the wave length associated with particle B if momentum is Half of A?

**SOLUTION:**

**ILLUSTRATIVE EXAMPLE (10):**If uncertainty in position of an moving electron is equal to its de Broglie wave length, then its velocity will be completely uncertain. Explain?

**SOLUTION:**

**ILLUSTRATIVE EXAMPLE (11):**If the de Broglie wave length of a particle of mass (m) is 100 times of its Velocity. Then its value in term of its mass (m) and plank constant (h) is?

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