NEET Physics - New - Motion in a Plane

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Question - 1

A particle moving with velocity \(\vec v\) is acted by three forces shown by the vector triangle PQR. The velocitv of the particle will __________

  • A Decrease
  • B Remain constant
  • C Change according to the smallest force \(\vec {OR}\)
  • D Increase

Question - 2

When an object is shot from the bottom of a long smooth inclined plane kept at an angle 60o with horizontal, it can travel a distance x1 along the plane. But when the inclination is decreased to 30o and the same object is shot with the same velocity, it can havel x2 distance. Then x1: x2 will be ____________

  • A \(1: \sqrt{2}\)
  • B \(\sqrt{2}: 1\)
  • C \(1: \sqrt{3}\)
  • D \(1: 2 \sqrt{3}\)

Question - 3

The ratio of resolving powers of an optical microscope for two wavelength \(\lambda_{1}=4000 \text { and } \lambda_{2}=6000\) is ___________

  • A 8:27
  • B 9:4
  • C 3:2
  • D 16:81

Question - 4

A ship A is moving Westwards with a speed of 10 km h-l and a ship B 100 km South of A is moving Northwards with a speed of l0 km h-l. The time after which the distance between them becomes shortest, is ___________ .

  • A 5 h
  • B 5\(\sqrt 2\) h
  • C 10\(\sqrt 2\) h
  • D 0 h

Question - 5

A particle is moving such that its position coordinate (x,y) are
(2m 3m) at time r = 0
(6m, 7m) attime t = 2s and
(13m, 14m) at time r = 5s.
Average velocity vector \(\left(\vec{V}_{a v}\right)\) from t = 0 to t = 5s is __________ .

  • A \(\frac{1}{5}(13 \hat{i}+14 \hat{j})\)
  • B \(\frac{7}{3}(\hat{i}+\hat{j})\)
  • C \(2(\hat{i}+\hat{j})\)
  • D \(\frac{11}{5}(\hat{i}+\hat{j})\)

Question - 6

Vectors \(\vec A,\vec B\ and\ \vec C\) are such that \(\vec{A} \cdot \vec{B}=0 \text { and } \vec{A} \cdot \vec{C}=0\) then the vector parallel to \(\vec A\)is _____________

  • A \(\vec{B}\ and \ \vec{C} \)
  • B \(\vec{A} \times \vec{B}\)
  • C \(\vec{B}+\vec{C}\)
  • D \(\vec{B} \times \vec{C}\)

Question - 7

The velocity of a projectile at the initial point A is \((2 \hat{i}+3 \hat{j})\)m/s. It's velocity (in m/s) at point.B is ____________ 

  • A \(-2 \hat{i}+3 \hat{j}\)
  • B \( 2 \hat{i}-3 \hat{j}\)
  • C \(2 \hat{i}+3 \hat{j}\)
  • D \(2 \hat{i}-3 \hat{j}\)

Question - 8

Aparticle has initial velocity \((2 \vec{i}+3 \vec{j})\) and acceleration \((0.3 \vec{i}+0.2 \vec{j})\). The magnitude of velocity after 10 seconds wiil be ___________ .

  • A \(9 \sqrt{2}\ units \)
  • B \(5 \sqrt{2}\ units\)
  • C 5 units
  • D 9 units

Question - 9

The horizontal range and the maximum height of a projectile are equal. The angle of projection of the projectiles is____________

  • A \(\theta=\tan ^{-1}\left(\frac{1}{4}\right)\)
  • B \(\theta=\tan ^{-1}(4)\)
  • C \(\theta=\tan ^{-1}(2)\)
  • D \(\theta=45^{\circ}\)

Question - 10

A projectile is fired at an angle of 45o with the horizontal. Elevation angle of the projectile at its highest point as seen from the point of projection is _______

  • A 60o
  • B \(\tan ^{-1}\left(\frac{1}{2}\right)\)
  • C \(\tan ^{-1}\left(\frac{\sqrt{3}}{2}\right)\)
  • D 45o
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