Q.
A particle of mass m and charge q has been projected from ground as shown in figure. Mark the correct statement(s). xy plane is vertical.
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a
The path of motion of the particle may be parabolic.
b
The path of motion of the particle may be a straight line.
c
Time of flight of the particle is 2usin θ/g .
d
Range of motion of the particle can be less than, greater than, or equal to u2sin 2θ/g.
answer is A.
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Detailed Solution
Along x-axis,ux=ucosθ⇒ax=−qEmAlong y-axis, uy=usin θ⇒ay=−g Equation of motion along x- and y-axes would be as follows: a is resultant acceleration. If a is opposite to u, i.e., α=θ, , then the path will be a straight line. For α≠θ,, the path will be parabolic. Time of flight remains unchanged as vertical motion is not affected by E⇀. Range of the particle in the present case is always less than u2 sin 2θ/g whatever may be the value of E.R=xt=ucos θ×2usin θg−12×qEm2usin θg2
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