Physics MCQs for NEET — Practice Questions with Answers

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ABCD is a quadrilateral. Forces BA, BC, CD & DA act at a point. Their resultant is 

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The resultant of the forces P and Q is R. If Q is double then the resultant also doubles in magnitude. Find the angle between P and Q.

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Explanation

(D)

 

Resultant of P & Q is RR2= P2+Q2+2PQ cosθ                                   .....iIf Q is doubled, resultant is 2R2R2= P2+2Q2+2P2Q cosθ                    ......iiFrom i & ii4P2+Q2+2PQ cosθ= P2+4Q2+4PQ cosθ4P2+8PQ cosθ=P2+4QP cosθ4Q cosθ=-3Pcosθ= -3P4Q

The maximum and minimum magnitude of the resultant of two vectors are 17 units and 7 units respectively. Then the magnitude of resultant of the vectors when they act perpendicular to each other is:

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Explanation

When two vectors are perpendicular, their resultant magnitude is given by the Pythagorean theorem: √(a^2 + b^2), where a and b are the magnitudes of the vectors. If the maximum and minimum resultants are 17 and 7 units, then √(17^2 + 7^2) = 13 units.

A vector A makes an angle of 20° and B makes an angle of 110° with the X-axis. The magnitudes of these vectors are 3 m and 4 m respectively. Find the magnitude of the resultant.

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Explanation

Angle between

 A and B=90°R=A2+B2=(3)2+(4)2=5 m

A particle is moving westward with a velocity v1=5 m/s. Its velocity changed to v2=5m/s northward. The change in velocity vector V=v2-v1 is:

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Consider east as positive x-axis, north as positive y-axis and vertically upward direction as z-axis. A helicopter first rises up to an altitude of 100 m than flies straight in north 500 m and then suddenly takes a turn towards east and travels 1000 m east. What is position vector of helicopter. (Take starting point as origin)

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Explanation

Position of helicopter=100k^+500j^+1000i^

=1000i^+500j^+100k^

A force F=6i^-8j^+10k^ Newton produces acceleration 1 m/s2 in a body. The mass of the body is (in kg)

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Explanation

F = m a a = Fm = 6i^ -8j^  +10k^  m a = F m = 62 +-82+102m1=102mm =102 kg

A=i^+j^-k^ ; B=2i^+3j^+5k^ angle between A and B is

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Explanation

Angle between two vectors = cos-1A.BAB

=cos-12+3-53×38=cos-1(0)=90°

Given the vectors

                         A=2i^+3j^-k^                         B=3i^-2j^-2k^&                      C=pi^+pj^+2pk^

Find the angle between A-B & C

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Explanation

(C)

 

A-B= 2i^+3j^-k^-3i^-2j^-2k^          = -i^+5j^+k^Let A-B= D   let D= -i^+5j^+k^     D= -12+52+12    = 27To find the angle between D & CC= p2+p2+2p2   = P6D. C= DC cosθ-i^+5j^+k^. pi^+pj^+2pk^= 27×p6 cosθ-p+5p+2p= p27×6 cosθ6= 27×6 cosθcosθ= 627         = 29cosθ= 23    or    θ=cos-123

If vector P, Q and R have magnitude 5, 12 and 13 units and P+Q=R the angle between Q and R is -

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