Chemistry, asked by digvijay9029, 11 months ago

consider bohr theory for hydrogen atom the magnitude of angular momentum Orbit radius and velocity of the electron in and energy state in hydrogen atom L R and V respectively find the value of x is product of V R and L is directly proportional to and raise to power x​

Answers

Answered by AneesKakar
6

Answer:

As the angular momentum(l) has magnitude l = m*v*r = nh/2π.

Where m is the mass of electron v is the velocity and r is the radius and n is the number of electrons.

Now, v^2 * r^2 * l^2 will be:

On putting the values, (n^2*h^2)/(4*π^2*m^2) * (n^2*h^2)/(4*π^2*) .

So,  (n^4*h^4)/(16*π^4*m^4) in which the (h^4)/(16*π^4*m^4) will be constant hence the value of v^2 * r^2 * l^2 = n^4.

Or, (v*r*l) = n^2.

Since it is n^x hence the value of x will be 2.

Answered by karthikeyantappu
2

Answer:

Answer:

As the angular momentum(l) has magnitude l = m*v*r = nh/2π.

Where m is the mass of electron v is the velocity and r is the radius and n is the number of electrons.

Now, v^2 * r^2 * l^2 will be:

On putting the values, (n^2*h^2)/(4*π^2*m^2) * (n^2*h^2)/(4*π^2*) .

So,  (n^4*h^4)/(16*π^4*m^4) in which the (h^4)/(16*π^4*m^4) will be constant hence the value of v^2 * r^2 * l^2 = n^4.

Or, (v*r*l) = n^2.

Since it is n^x hence the value of x will be 2.

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