Motion in a Lane MCQs for NEET — Physics Questions with Answers

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A particle is moving in a circle of radius R with constant speed. The time period of the particle is T Now after time t = T/6 Range of a projectile is R and maximum height is H. Find the area covered by the path of the projectile and horizontal line.

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Explanation

$ A = \int _0^R y dx $ $ take \, y = x tan \theta - { gx^2 \over 2V_0 x cos \theta } $

Which of the following statements is false for a particle moving in a circle with a constant angular speed?

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Explanation

When a particle moving in a circle with a constant angular speed.
Its velocity vector is tangent to the circle and the acceleration vector is along the radius of the circle. The velocity and acceleration vectors are perpendicular to each other.

Component of 3i^+4j^ perpendicular to i^+j^ and in the same plane as that of 3i^+4j^ is:

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Given that C = A + B  and   C makes an angle α with A and β with B. Which of the following options is correct?

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If the magnitude of sum of two vectors is equal to the magnitude of difference of the two vectors, the angle between these vectors is

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Explanation


(a)

Suppose two vectors are P and Q. It is given that-P+Q=P-QLet the angle between P and Q is θ.P2+Q2+2PQcosθ=P2+Q2-2PQcosθcosθ=0=cos900θ=900

A force of 6 N and another of 8 N can be applied together to produce the effect of a single force of -

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Which of the sets given below may represent the magnitude of resultant of three vectors adding to zero?

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Explanation

(C)

Let there be 3 vectors A, B & C.Suppose magnitude of C is highest.For zero resultant,             C  A+BWhere A, B & C represents magnitude of A, B & CFor pair 1, 2, 1     C= 2     A= 1     B= 1Also,  2  1+1

A blind person after walking 10 steps in one direction, each of length 80 cm, turns randomly to the left or to the right by 90°. After walking a total of 40 steps the maximum possible displacement of the person from his starting position could be -

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Explanation

Each step is 80 cm, and the person takes 40 steps. If the person walks in a straight line after the initial turn, the maximum displacement is 40 × 0.8 m = 32 m. However, since the person can turn at 90° after every 10 steps, the maximum displacement is √(32^2 + 32^2) = 16√2 m.

A truck travelling due north with 20m/s turns towards west and travels at the same speed. Then the change in velocity is -

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A particle is moving in a circle of radius r centered at O with constant speed v. The change in velocity moving from A to B AOB=40° is -

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