Home
Class 12
PHYSICS
Suppose a nucleus initally at rest unde...

Suppose a nucleus initally at rest undergoes `alpha` decay according to equation
`._(92)^(225)X rarr Y +alpha`
At `t=0`, the emitted `alpha`-particles enter a region of space where a uniform magnetic field `vec(B)=B_(0) hat i` and elecrtic field `vec(E)=E_(0) hati` exist. The `alpha`-particles enters in the region with velocity `vec(V)=v_(0)hat j` from `x=0`. At time`t=sqrt3xx10^(6) (m_(0))/(q_(0)E_0)s`, the particle was observed to have speed twice the initial velocity `v_(0)`. Then, find (a) the velocity `v_(0)` of the `alpha`-particles,
(b) the initial velocity `v_(0)` of the `alpha`-particle, (c ) the binding energy per nucleon of the `alpha`-particle.
`["Given that" m(Y)=221.03 u,m(alpha)=4.003 u,m(n)=1.09u,m(P)=1.008u]`.

Text Solution

Verified by Experts

The correct Answer is:
`[(a) ((q_(alpha)E_(0))/m_(alpha)t)i+v_(0) cos theta hat(j)-v_(0) sin theta hat(k)` where `theta=omegat` and `omega=(q_(alpha)B)/m_(alpha)`, (b) `10^(7) m//s` (c) `8.00 MeV]`
Promotional Banner

Similar Questions

Explore conceptually related problems

Suppose a nucleus initally at rest undergoes alpha decay according to equation ._(92)^(235)X rarr Y +alpha At t=0 , the emitted alpha -partilces enter a region of space where a uniform magnetic field vec(B)=B_(0) hat j and elcertis field vec(E)=E_(0) hati exist. The alpha -prticles enters in the region with velocity vec(V)=v_(0)hat j from x=0 . At time t=sqrt3xx10^(6) (m_(0))/(q_(0)E_0)s , the particle was observed to have speed twice the initial velocity v_(0) . Then, find (a) the velocity v_(0) of the alpha -particles, (b) the initial velocity v_(0) of the alpha -particle, (c ) the binding energy per nucleon of the alpha -particle. ["Given that" m(Y)=221.03 u,m(alpha)=4.003 u,m(n)=1.09u,m(P)=1.008u] .

An electron is projected wit velocity vec(v) = v_(0) hat(x) in an electric field vec(E) = E_(0) hat(y) . Trace the path followed by the electron :-

An alpha particle moving with the velocity vec v = u hat i + hat j ,in a uniform magnetic field vec B = B hat k . Magnetic force on alpha particle is

A particle of specific charge 'alpha' is projected from origin at t=0 with a velocity vec(V)=V_(0) (hat(i)-hat(k)) in a magnetic field vec(B)= -B_(0)hat(k) . Then : (Mass of particle =1 unit)

Electric field strength bar(E)=E_(0)hat(i) and bar(B)=B_(0)hat(i) exists in a region. A charge is projected with a velocity bar(v)=v_(0)hat(j) at origin , then

A particle of specific charge alpha enters a uniform magnetic field B=-B_0hatk with velocity v=v_0hati from the origin. Find the time dependence of velocity and position of the particle.

A particle moves with an initial velocity V_(0) and retardation alpha v , where alpha is a constant and v is the velocity at any time t. Velocity of particle at time is :

Electric field and magnetic field in a region of space are given by (Ē= E_0 hat j) . and (barB = B_0 hat j) . A charge particle is released at origin with velocity (bar v = v_0 hat k) then path of particle is