A `mu` – meson (charge `= – e`, mass`= 208 m_(e)`) moves in a circular orbit around a heavy nucleus having charge `+ 3e`. Find the quantum state n for which the radius of the orbit is same as that of first Bohr orbit for hydrogen atom.
1 Answers
Talk Doctor Online in Bissoy App
An electron of mass m and charge -e moves in circular orbit of radius r round the nucleus of charge +Ze in unielectron system. In CGS system the poten
Correct Answer - B (b) Potential energy = work done ` = int_(oo)^(r)-(Ze^(2) dr)/(r^(2))=-(Ze^(2))/(r)`
2 Answers 1 views
In hydrogen atom, the electron makes `6.6 xx 10^(15)` revolutions per second around the nucleus in an orbit of radius `0.5 xx 10^(-10)m`. It is equiva
Correct Answer - `10^(-3)A`
2 Answers 1 views
What atomic number of an element "X" would have to become so that the 4th orbit around X would fit inside the I Bohr orbit of H atom ?
Correct Answer - 3 `r_(1)=0.529 Å, r_(4(X))=r_(1)xxn^(2)/Z,` `e_(4(X))rArr (0.529xx(4)^(2))/(Z),Z=16`
2 Answers 1 views
A uniformly charged sphere has charge Q. An electron (charge – e, mass m) revolves around it in a circular orbit of radius r. (a) Write the total ener
Correct Answer - (a). `-(Qe)/(8pi in_(0)r)` (b). 8T
2 Answers 3 views
A particle (A) having charge Q and mass m is at rest and is free to move. Another particle (B) having charge q and mass m is projected from a large di
Correct Answer - (a). `(1)/(4)m u^(2)` (b). A moves to right with velocity u. B is at rest .
2 Answers 1 views
A negatively charged muon (mass 207 times the mass of an electron) is captured in a Bohr’s orbit of high principal quantum number (n). The atom thus f
Correct Answer - (b) `z = 48`
2 Answers 2 views
An electron in an excited hydrogen atom makes transition from a state of quantum number n to a state of quantum number `(n – 1)`. (a) Show that the fr
Correct Answer - (b) The two are same
2 Answers 1 views
A particle of mass m having negative charge q moves along an ellipse around a fixed positive charge Q so that its maximum and minimum distances from f
Correct Answer - [`sqrt((mr_(1)r_(2)Qq)/(2piepsi_(0)(r_(1)+r_(2))))`]
2 Answers 9 views
A single electron orbits around a stationary nucleus of charge `+Ze`, where Z is a constant and e is the electronic charge. It requires `47.2 eV` to e
Correct Answer - (i) 5, (ii) 16.6 eV, (iii) 36.3 Å
2 Answers 1 views
An object of mass 50 g moves uniformly along a circular orbit with an angular speed of 5 rad/s. If the linear speed of the particle is 25 m/s
Given: ω = 5 rad/s, v = 25 m/s, m = 50 g = 0.05 kg To find: radius (r), centipetal force (F) Formula: (i) v = ωr (ii) F = \(\frac{mv^2}{r}\) Calculation: From formula (i), r...
2 Answers 1 views