Beta Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise (Conceptual Questions)>Q 33

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The slope of the graph as shown in the figure at points $1, 2$ and $3$ is $m_{1}, m_{2}$ and $m_{3}$ respectively then-

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Important Questions on Mathematical Tools in Physics

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Beta Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise (Conceptual Questions)>Q 34

The magnitude of the slope of the shown graph is-
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Beta Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise (Conceptual Questions)>Q 35

The equation of a curve is given as

y = x^{2} + 2 - 3 x

. The curve intersects the

x

-axis at-

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Beta Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise (Conceptual Questions)>Q 36

A particular straight line passes through origin and a point whose abscissa is double of ordinate of the point. The equation of such straight line is :

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Beta Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise (Conceptual Questions)>Q 37

The side of a square is increasing at the rate of

0.2 cm s^{- 1}

. The rate of increase of perimeter w.r.t. time is:

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Beta Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise (Conceptual Questions)>Q 38

Frequency

f

of a simple pendulum depends on its length

l

and acceleration

g

due to gravity according to the following equation

f = \frac{1}{2 π} \sqrt{\frac{g}{l}}

. Graph between which of the following quantities is a straight line?

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Beta Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise (Conceptual Questions)>Q 39

The sum of the series

1 + \frac{1}{4} + \frac{1}{16} + \frac{1}{64} + . . . . . . . . . \infty

is

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Beta Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise (Conceptual Questions)>Q 40

In the given figure, each box represents a function machine. A function machine illustrates what it does with the input. Input (x) Double the Square root output
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Which of the following statements is correct ?

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Beta Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise (Conceptual Questions)>Q 41

Which of the following statements is false?