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This mock test of Integration, Differentiation, Errors And Significant Figures MCQ Level -1 for Class 11 helps you for every Class 11 entrance exam.
This contains 25 Multiple Choice Questions for Class 11 Integration, Differentiation, Errors And Significant Figures MCQ Level -1 (mcq) to study with solutions a complete question bank.
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QUESTION: 1

If the length of rod A is (3.25 ± 0.01) cm and that of B is(4.19 ± 0.01) cm, then the rod B is longer than rod A by

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QUESTION: 2

A wire has a mass 0.3 ± 0.003g, radius 0.5 ± 0.005mm and length 6 ± 0.06 cm. The maximum percentageerror in the measurement of its density is 1

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QUESTION: 3

A cube has a side of length 1.2 x 10^{-2} m. Calculate itsvolume.

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QUESTION: 4

If L= 2.331 cm, B - 2.1 cm, then L + B is equal to

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QUESTION: 5

A plate has a length (5 ± 0.1) cm and breadth(2 ± 0.01) cm. Then the area of the plate is

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QUESTION: 6

The number of significant figures in all the givennumbers 25.12, 2009, 4.156 and 1.217 x 10^{-4} is

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QUESTION: 7

An object, moving with a speed of 6.25 m/s, isdecelerated at a rate given by

where v isthe instantaneous speed. The time taken by the object,to come to rest, would be

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QUESTION: 8

The position of a particle x (in metre) at a time t secondis given by the relation r = (3tiˆ - t2 ˆj + 4kˆ) . Calculatethe magnitude of velocity of the particle after 5s.

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QUESTION: 9

A particle moves along with x-axis. The position x ofparticle with respect to time t from origin given by x =b_{0} + b_{1}t + b_{2} t^{2}. The acceleration of particle is

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QUESTION: 10

The acceleration a of a particle starting from rest varieswith time according to relation a = αt + β . The velocityof the particle after a time t will be

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QUESTION: 11

A particle moves along a straight line such that itsposition x at any time t is x = 6t^{2} -t^{3}. Where x in metreand t is in second, then

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QUESTION: 12

Displacement (x) of a particle is related to time (t) as x = at + bt2 - ct3 where a,b and c are constants of the motion. Thevelocity of the particle when its acceleration is zero isgiven by

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QUESTION: 13

Acceleration of a body when displacement equation is3s = 9t + 5t^{2} is

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QUESTION: 14

The velocity of particle is v = v_{0} + gt + ft^{2}. If its positionis x = 0 at t = 0, then its displacement after unit time(t = 1) is

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QUESTION: 15

The coordinates of a moving particle at any time t are given by x = αt3 and y = βt3 . The speed of particle attime t is given by

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QUESTION: 16

A particle located at x = 0 at time t = 0, starts movingalong the position x-direction with a velocity v that varies as .The displacement of the particle varies withtime as

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QUESTION: 17

The displacement of particle is given by

What is its acceleration?

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QUESTION: 18

The relation between time t and distance x ist = ax^{2} + bx, where a and b are constants. Theacceleration is

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QUESTION: 19

A particle moves along x - axis asx = 4 (t - 2) + a (t - 2)^{2} Which of the following is true?

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QUESTION: 20

If the velocity of a particle is given by v = (180 -16x)^{1/2}ms^{-1}, then its acceleration will be

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QUESTION: 21

A particle moves along x-axis in such a way that itscoordinate (x) varies with time t according to theexpression x = 2 -5t + 6t^{2} m, the initial velocity of theparticle is

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QUESTION: 22

A particle moves along a straight line such that itsdisplacement at any time t is given by s = t^{3} - 6t^{2} +3t + 4. The velocity when its acceleration is zero is

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QUESTION: 23

The displacement s of a particle is proportional to thefirst power of time t, i.e.,sa t; then the acceleration ofthe particle is

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QUESTION: 24

The displacement x of particle moving in one dimensionunder the action of a constant force is related to time tby the equation , where x is in metres and tis in seconds, Find the displacement of the particlewhen its velocity is zero

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QUESTION: 25

For motion of an object along the x-axis, the velocity vdepends on the displacement x as v = 3x^{2} - 2x, thenwhat is the acceleration at x = 2m.

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