Basic Maths and Units and DimensionsHard
Question
Electric field given by the vector
=
(xî + yĵ) N/C is present in the x-y plane. A small ring of mass M carrying charge +Q, which can slide freely on a smooth non conducting rod, is projected along therod from the point (0, l) such that it can reach the other end of the rod. Assuming there is no gravity in the region. What minimum velocity should be given to the ring (in m/s)? If in S.I. unit
= 8

(xî + yĵ) N/C is present in the x-y plane. A small ring of mass M carrying charge +Q, which can slide freely on a smooth non conducting rod, is projected along therod from the point (0, l) such that it can reach the other end of the rod. Assuming there is no gravity in the region. What minimum velocity should be given to the ring (in m/s)? If in S.I. unit
= 8
Options
A.2
B.3
C.2.5
D.3.5
Solution
For the electric field, V =
+ K from energy conservation
+ k +
Mv
= -
× 2 + K
+ K from energy conservation
+ k +
Mv
= -
× 2 + KCreate a free account to view solution
View Solution FreeTopic: Basic Maths and Units and Dimensions·Practice all Basic Maths and Units and Dimensions questions
More Basic Maths and Units and Dimensions Questions
In terms of potential difference V, electric current I, permittivity ε0, permeability μ0 and speed of light c,...Planck′s constant h, speed of light c and gravitational constant G are used to form a unit of length L and a unit ...The value of cot cot-1 is...A ring of mass M and radius R is rotating with angular speed w about a fixed vertical axis passing through its centre O ...A ray of light is incident on an equilateral glass prism (μ = √3) and moves parallel to the base of the prism...