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Motion in a Plane

AIPMT 2001MCQEasyNot asked in last 5 yrs+4−1
Ques. 1AIPMT 2001

If | A + B | = | A | + | B |, then angle between A and B will be

  1. 90
  2. 120
  3. 0
  4. 60

Answer

(3) 0

Solution

| A + B |2 = A2 + B2 + 2AB , and here it is given that | A + B |2 = (A + B)2 = A2 + B2 + 2AB, so

2AB = 2AB

= 1

= 0 (the vectors are parallel)

Answer: (3)

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Ques. 2AIPMT 2001

Two particles having mass M and m are moving in a circular path having radius R and r. If their time periods are the same, then the ratio of their angular velocities will be

  1. rR
  2. Rr
  3. 1
  4. Rr
Ques. 3AIPMT 2001

A particle is projected making an angle of 45 with horizontal having kinetic energy K. The kinetic energy at highest point will be

  1. K 2
  2. K2
  3. 2K
  4. K
Ques. 4AIPMT 2000

The width of river is 1 km. The velocity of boat is 5 km/hr. The boat covered the width of river along the shortest path in 15 min. Then the velocity of river stream is

  1. 3 km/hr
  2. 4 km/hr
  3. 29 km/hr
  4. 41 km/hr
Ques. 5AIPMT 2000

Two projectiles of same mass and with same velocity are thrown at an angle 60 and 30 with the horizontal, then which will remain same

  1. time of flight
  2. range of projectile
  3. maximum height acquired
  4. all of them

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