To calculate the wavelength of the cricket ball, we'll use the de Broglie wavelength formula:

λ=hpλ=ph

Where:

• λλ is the wavelength
• hh is the Planck constant (6.626×10−34 m2kg/s)
• pp is the momentum

The momentum (pp) of the cricket ball can be calculated using the formula:

p=mvp=mv

Where:

• mm is the mass of the cricket ball (in kg)
• vv is the velocity of the cricket ball (in m/s)

Given:

• Mass of the cricket ball (mm) = 100 g = 0.1 kg
  Velocity of the cricket ball (vv) = 100 km/h

First, we need to convert the velocity to meters per second (m/s):

100 km/h=100×1000/3600 m/s

=100000/3600 m/s

=27.78 m/s

Now, we can calculate the momentum (pp):

p=(0.1 kg)×(27.78 m/s)p=(0.1kg)×(27.78m/s) p=2.778 kg m/sp

Now, we can calculate the wavelength (λλ):

λ=6.626×10−34 m2kg/s2.778 kg m/sλ=2.778kg m/s6.626×10−34m2kg/s λ≈2.384×10−34 mλ≈2.384×10−34m

Explanation: The wavelength of the cricket ball is incredibly small (on the order of 10−34meters), which is far too small to be observable or relevant at the macroscopic scale of everyday objects. Therefore, despite having a wave-like nature according to de Broglie's hypothesis, it does not exhibit wave-like behavior in its motion because the wavelength is negligible compared to the size of the cricket ball and the distances involved in its motion.

The wave number (ν~ν~) associated with the transition in the Balmer series when the electron moves to the n=4n=4 orbit can be calculated using the Rydberg formula:

ν~=RH(1n12−1n22)ν~=RH(n121−n221)

Where:

• RHRH is the Rydberg constant (109677 cm−¹)
• n1=2n1=2 is the initial orbit
• n2=4n2=4 is the final orbit

Plugging in the values:

ν~=109677 (1/2sqr −1/4sqr)

ν~=109677 (1/4−1/16)

ν~=109677 (0.25−0.0625)

ν~=109677×0.1875

ν~=20573 .625 cm−1

ν~=20573.625cm−1

Hello Kasireddy,

The electronic confugaration of Copper (Cu) is [Ar]  but not .

This is because of

stability of completely filled d sub-shell.

The completely filled & hlaf-filled sub-shells are stable.

The causes of stability of completely filled & half filled sub-shells are due to following reasons

1) symmetrical distribution of electrons

2) exchange energy

due to above reasons Copper has [Ar]  electronic confuguratiion.

Thank you