As a charged particle q moving a velocity `vec(v)` enters a uniform magnetic field `vec(B)`. It experiences a force `vec(f) = q (vec(v) xx vec(B))` For `theta = 0^(@)` or `180^(@), theta` being the angle between `vec(v)` and `vec(B)`. Force experienced is zero and particle passes undeflected. For `theta = 90^(@)`, the particle moves along a circule are and the magnetic force (qvB) provides the necessary centripetal force `((mv^(2))/(r ))`. For other values of `theta (theta != 0^(@), 180^(@), 90^(@))`, the charged particle moves along a helical path which is the resultant motion of simultaneous circular and translational motions.
suppose a particle that carries a charge of magnitude q and has a mass `4 xx 10^(-15) kg`. is moving in a region containing a uniform magnetic field `vec(B) = - 0.4 hat(k)T`. At a certain instant , velocity of the particle is `vec(v) = (8hat(i) - 6 hat(j) + 4 hat(k)) xx 10^(6)` m/s and force acting on it has a magnitude 1.6 N
Which of the three components of acceleration have non-zero values ?
As a charged particle q moving a velocity `vec(v)` enters a uniform magnetic field `vec(B)`. It experiences a force `vec(f) = q (vec(v) xx vec(B))` For `theta = 0^(@)` or `180^(@), theta` being the angle between `vec(v)` and `vec(B)`. Force experienced is zero and particle passes undeflected. For `theta = 90^(@)`, the particle moves along a circule are and the magnetic force (qvB) provides the necessary centripetal force `((mv^(2))/(r ))`. For other values of `theta (theta != 0^(@), 180^(@), 90^(@))`, the charged particle moves along a helical path which is the resultant motion of simultaneous circular and translational motions.
suppose a particle that carries a charge of magnitude q and has a mass `4 xx 10^(-15) kg`. is moving in a region containing a uniform magnetic field `vec(B) = - 0.4 hat(k)T`. At a certain instant , velocity of the particle is `vec(v) = (8hat(i) - 6 hat(j) + 4 hat(k)) xx 10^(6)` m/s and force acting on it has a magnitude 1.6 N
Which of the three components of acceleration have non-zero values ?
suppose a particle that carries a charge of magnitude q and has a mass `4 xx 10^(-15) kg`. is moving in a region containing a uniform magnetic field `vec(B) = - 0.4 hat(k)T`. At a certain instant , velocity of the particle is `vec(v) = (8hat(i) - 6 hat(j) + 4 hat(k)) xx 10^(6)` m/s and force acting on it has a magnitude 1.6 N
Which of the three components of acceleration have non-zero values ?
A
x and y
B
y and z
C
z and x
D
x,y and z
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A
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As a charged particle q moving a velocity vec(v) enters a uniform magnetic field vec(B) . It experiences a force vec(f) = q (vec(v) xx vec(B)) For theta = 0^(@) or 180^(@), theta being the angle between vec(v) and vec(B) . Force experienced is zero and particle passes undeflected. For theta = 90^(@) , the particle moves along a circule are and the magnetic force (qvB) provides the necessary centripetal force ((mv^(2))/(r )) . For other values of theta (theta != 0^(@), 180^(@), 90^(@)) , the charged particle moves along a helical path which is the resultant motion of simultaneous circular and translational motions. suppose a particle that carries a charge of magnitude q and has a mass 4 xx 10^(-15) kg . is moving in a region containing a uniform magnetic field vec(B) = - 0.4 hat(k)T . At a certain instant , velocity of the particle is vec(v) = (8hat(i) - 6 hat(j) + 4 hat(k)) xx 10^(6) m/s and force acting on it has a magnitude 1.6 N Which of the following is correct?
As a charged particle q moving a velocity vec(v) enters a uniform magnetic field vec(B) . It experiences a force vec(f) = q (vec(v) xx vec(B)) For theta = 0^(@) or 180^(@), theta being the angle between vec(v) and vec(B) . Force experienced is zero and particle passes undeflected. For theta = 90^(@) , the particle moves along a circule are and the magnetic force (qvB) provides the necessary centripetal force ((mv^(2))/(r )) . For other values of theta (theta != 0^(@), 180^(@), 90^(@)) , the charged particle moves along a helical path which is the resultant motion of simultaneous circular and translational motions. suppose a particle that carries a charge of magnitude q and has a mass 4 xx 10^(-15) kg . is moving in a region containing a uniform magnetic field vec(B) = - 0.4 hat(k)T . At a certain instant , velocity of the particle is vec(v) = (8hat(i) - 6 hat(j) + 4 hat(k)) xx 10^(6) m/s and force acting on it has a magnitude 1.6 N Which of the following is correct?
A
motion of the particle is non-periodic but y and z - position co-ordinates vary in a periodic manner
B
motion of the particle is non-periodic but x andy - position co-ordinates vary in a periodic manner
C
motion of the particle is non-periodic but x and z - positio co-ordinates vary in a periodic manner
D
motion of the particle is periodic and all the position co-ordinates vary in a periodic mannar
As a charged particle 'q' moving with a velocity vec(v) enters a uniform magnetic field vec(B) , it experience a force vec(F) = q(vec(v) xx vec(B)). For theta = 0^(@) or 180^(@), theta being the angle between vec(v) and vec(B) , force experienced is zero and the particle passes undeflected. For theta = 90^(@) , the particle moves along a circular arc and the magnetic force (qvB) provides the necessary centripetal force (mv^(2)//r) . For other values of theta (theta !=0^(@), 180^(@), 90^(@)) , the charged particle moves along a helical path which is the resultant motion of simultaneous circular and translational motions. Suppose a particle that carries a charge of magnitude q and has a mass 4 xx 10^(-15) kg is moving in a region containing a uniform magnetic field vec(B) = -0.4 hat(k) T . At some instant, velocity of the particle is vec(v) = (8 hat(i) - 6 hat(j) 4 hat(k)) xx 10^(6) m s^(-1) and force acting on it has a magnitude 1.6 N Motion of charged particle will be along a helical path with
As a charged particle 'q' moving with a velocity vec(v) enters a uniform magnetic field vec(B) , it experience a force vec(F) = q(vec(v) xx vec(B)). For theta = 0^(@) or 180^(@), theta being the angle between vec(v) and vec(B) , force experienced is zero and the particle passes undeflected. For theta = 90^(@) , the particle moves along a circular arc and the magnetic force (qvB) provides the necessary centripetal force (mv^(2)//r) . For other values of theta (theta !=0^(@), 180^(@), 90^(@)) , the charged particle moves along a helical path which is the resultant motion of simultaneous circular and translational motions. Suppose a particle that carries a charge of magnitude q and has a mass 4 xx 10^(-15) kg is moving in a region containing a uniform magnetic field vec(B) = -0.4 hat(k) T . At some instant, velocity of the particle is vec(v) = (8 hat(i) - 6 hat(j) 4 hat(k)) xx 10^(6) m s^(-1) and force acting on it has a magnitude 1.6 N Motion of charged particle will be along a helical path with
A
A translational component along x-direction and a circular component in the y-z plane
B
A translational component along y-direction and a circular component in the x-z plane
C
A translational component along z-axis and a circular component in the x-y plane
D
Direction of translational component and plane of circular component are uncertain
As a charged particle 'q' moving with a velocity vec(v) enters a uniform magnetic field vec(B) , it experience a force vec(F) = q(vec(v) xx vec(B)). For theta = 0^(@) or 180^(@), theta being the angle between vec(v) and vec(B) , force experienced is zero and the particle passes undeflected. For theta = 90^(@) , the particle moves along a circular arc and the magnetic force (qvB) provides the necessary centripetal force (mv^(2)//r) . For other values of theta (theta !=0^(@), 180^(@), 90^(@)) , the charged particle moves along a helical path which is the resultant motion of simultaneous circular and translational motions. Suppose a particle that carries a charge of magnitude q and has a mass 4 xx 10^(-15) kg is moving in a region containing a uniform magnetic field vec(B) = -0.4 hat(k) T . At some instant, velocity of the particle is vec(v) = (8 hat(i) - 6 hat(j) 4 hat(k)) xx 10^(6) m s^(-1) and force acting on it has a magnitude 1.6 N If the coordinates of the particle at t = 0 are (2 m, 1 m, 0), coordinates at a time t = 3 T, where T is the time period of circular component of motion. will be (take pi = 3.14 )
As a charged particle 'q' moving with a velocity vec(v) enters a uniform magnetic field vec(B) , it experience a force vec(F) = q(vec(v) xx vec(B)). For theta = 0^(@) or 180^(@), theta being the angle between vec(v) and vec(B) , force experienced is zero and the particle passes undeflected. For theta = 90^(@) , the particle moves along a circular arc and the magnetic force (qvB) provides the necessary centripetal force (mv^(2)//r) . For other values of theta (theta !=0^(@), 180^(@), 90^(@)) , the charged particle moves along a helical path which is the resultant motion of simultaneous circular and translational motions. Suppose a particle that carries a charge of magnitude q and has a mass 4 xx 10^(-15) kg is moving in a region containing a uniform magnetic field vec(B) = -0.4 hat(k) T . At some instant, velocity of the particle is vec(v) = (8 hat(i) - 6 hat(j) 4 hat(k)) xx 10^(6) m s^(-1) and force acting on it has a magnitude 1.6 N If the coordinates of the particle at t = 0 are (2 m, 1 m, 0), coordinates at a time t = 3 T, where T is the time period of circular component of motion. will be (take pi = 3.14 )
A
(2 m, 1 m, 0.942 m)
B
(0.142 m, 130m, 0)
C
(2 m, 1 m, 1.884 m)
D
(142 m, 130 m, 628 m)
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