A charged particle projected in a magnetic field `B=(3hati+4hatj)xx10^-2T` The acceleration of the particle is found to be `a=(xhati+2hatj)m/s^2` find the value of `x`
Text Solution
AI Generated Solution
To solve the problem, we will use the relationship between the acceleration of a charged particle in a magnetic field and the properties of the vectors involved.
### Step-by-Step Solution:
1. **Identify Given Quantities**:
- Magnetic field \( \mathbf{B} = (3\hat{i} + 4\hat{j}) \times 10^{-2} \, \text{T} \)
- Acceleration \( \mathbf{a} = (x\hat{i} + 2\hat{j}) \, \text{m/s}^2 \)
...
Topper's Solved these Questions
MAGNETICS
DC PANDEY|Exercise Exercise|160 Videos
MAGNETICS
DC PANDEY|Exercise INTRODUCTORY EXERCISE|1 Videos
MAGNETIC FIELD AND FORCES
DC PANDEY|Exercise Medical entrance s gallery|59 Videos
MAGNETISM AND MATTER
DC PANDEY|Exercise Medical gallery|1 Videos
Similar Questions
Explore conceptually related problems
An experimenter's diary reads as follows, "a charged particle is projected in a magnetic field of (7.0hati-3.0hatj)xx10^(-3)T .The acceleration of the particle is found to be (xhati+7.0hatj)xx10^(-6)m//s^(2) .Find the value of x .
A charged particle moves in a uniform magnetic field B=(2hati-3hatj) T
Charged particle is projected in a magnetic field of (7hat i-3hat j)times10^(-3) T .The acceleration of the particle is found to be (xhat i+7hat j)times10^(-3)m/sec^(2) .The value of x is
Charged particle is projected in a magnetic field of (7hat i-3hat j) times 10^(-3) T . The acceleration of the particle is found to be (xhat i+7hat j) times 10^(-3)m/sec^(2) .The value of x is
A charged particle is inside a magnetic field vecB = (10hati - 6hatj) xx 10^(-4) T . The acceleration of the charged particle is given by veca = 3hati + xhatj m//s^(2) . What should be the value of x for this to be possible?
A charged particle moves in a magnetic field vecB=10hati with initial velocity vecu=5veci+4hatj . The path of the particle will be
A particle is given an initial velocity of vecu=(3 hati+4 hatj) m//s . Acceleration of the particle is veca=(3t^(2) +2 thatj) m//s^(2) . Find the velocity of particle at t=2s.
A charged particle has acceleration veca=2hati=xhatj in a magnetic field vecB=-3hati+2hatj-4hatk .Find the value of x .