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Horizontal and Vertical Components of Projectile Motion

Consider a me...

Question

Consider a metal ball of radius $r$ moving at a constant velocity $v$ in a uniform magnetic field of induction $\to B$ . Assuming that the direction of velocity forms an angle $α$ with the direction of $\to B$ , the maximum potential difference between points on the ball is

A

r ∣ ∣ \to B ∣ ∣ | \to v | sin α

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B

∣ ∣ \to B ∣ ∣ | \to v | sin α

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C

2 r ∣ ∣ \to B ∣ ∣ | \to v | sin α

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D

2 r ∣ ∣ \to B ∣ ∣ | \to v | cos α

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Solution

The correct option is C $2 r ∣ ∣ \to B ∣ ∣ | \to v | sin α$
$e = B l v sin α = B v (2 r) sin α$ (magnitude wise)

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Similar questions

\to a \times (\to b \times \to c) + (\to a . \to b) \to b = (4 - 2 β - sin α) \to b + (β^{2} - 1) \to c

(\to c . \to c) \to a = \to c

\to b

\to c

are non-collinear, then the value of scalars

α

β

\to a + \to b + \to c = 0, | \to a | = 3, ∣ ∣ \to b ∣ ∣ = 5, | \to c | = 7

, then the angle between

\to a

\to b

\to a, \to b

be two vectors such that

| \to a | = 1, ∣ ∣ \to b ∣ ∣ = 4, \to a . \to b = 2

\to c = 2 (\to a \times \to b) - 3 \to b

, then the angle between

\to b

\to c

\to a + \to b + \to c = 0, | \to a | = 3, ∣ ∣ \to b ∣ ∣ = 5

| \to c | = 7

, then find the angle between

\to a

\to b

Q. Find the point of intersection of the following pair of lines, assuming that the vectors

\to a

\to b

are not parallel.

\to r = γ (\to b + \to a), \to r = μ (\to b - \to a)

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Horizontal and Vertical Components of Projectile Motion

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