Answer:


Explanation:
for the transition from 148th orbit to 138th orbit
we know the formula

where R is Rydberg constant whose value is 
putting this value in equation




for the transition from 165th to 174th orbit
we know the formula

where R is Rydberg constant whose value is 
putting this value in equation




Answer:
1309.1 Nm
Explanation:
Torque is given as a product of Moment of innertia and acceleration hence
T=Ia where T is torque and a is acceleration
To get acceleration, it is rate of change of speed per unit time hence
where v and t represent velocity and time respectively while subscripts f and i represent final and initial respectively. Also, I is given by
where m js mass and r is radius hence the net torque can now be written as
By substituting the given figures then

Mass of the are is 2100 kg
Answer:
minimum angle is 128.69°
Explanation:
given data
player velocity with respect ground v1 = 3.5 m/s
ball velocity with respect himself v2 = 5.6 m/s
to find out
smallest angle
solution
we know ball velocity with respect field will be
ball velocity = v1 +v2
ball velocity = 3.5 + 5.6 = 9.1m/s
we consider angle that player hit ball is θ
then by as per figure triangle
cosθ = 
cosθ = 
θ = 51.31
so minimum angle is 180 - 51.31 = 128.69°