Alpha Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-1>Q 2

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Two billiard balls are rolling on a flat table. One has velocity components $v_{x} = 1 m / s, v_{y} = \sqrt{3} m / s$ and the other has components $v_{x} = 2 m / s$ and $v_{y} = 2 m / s .$ If both the balls start moving from the same point, the angle between their path is -

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Important Questions on Mathematical Tools in Physics

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Alpha Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-1>Q 3

Surface area of sphere as a function of its radius is

A (r) = 4 π r^{2}

the value of

A (10)

will be

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Alpha Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-1>Q 4

If

f (x) = x^{2} - 1

, find

f [f (2)]

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Alpha Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-1>Q 5

If

f (x) = x + \frac{1}{x},

then the value of

f (1)

will be

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Alpha Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-1>Q 6

Find

v (0),

where

v (t) = 3 + 2 t

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Alpha Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-1>Q 7

If

f (θ) = \sin θ,

find

f (\frac{π}{6})

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Alpha Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-1>Q 8

If

f (x) = 5,

then the value of

f (10)

will be

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Alpha Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-1>Q 9

\tan (15 °)

is equivalent to

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Alpha Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-1>Q 10

\sin^{2} θ

is equivalent to