Exams › NEET › Physics

A wheel of radius 1m rolls forward half a revolution on a horizontal ground. The magnitude of the displacement of the point of the wheel initially in contact with the ground is:

1. 0
2. π
3. 2π
4. √π² + 4

Correct answer: √π² + 4

Solution

When the wheel rolls forward half a revolution, the point initially in contact with the ground moves to the topmost position of the wheel. The displacement is the straight-line distance between these two points, which forms the hypotenuse of a right triangle with sides of length 1m (radius). Using the Pythagorean theorem, the displacement is √(π² + 4).

Related NEET Physics questions

• A block is thrown with a velocity of \( 2 m / s \) (relative to ground) on a belt, which is moving with velocity \( 4 m / s \) in opposite direction of the initial velocity of block. If the block stops slipping on the belt after \( 4 s \) of the throwing then choose the correct statement(s) This question has multiple correct options
• Due to air a falling body faces a resistive force proportional to square of velocity \( v, \) consequently its effective downward acceleration is reduced and is given by \( a=g-k v^{2} \) where \( k= \) \( 0.002 m^{-1} . \) The terminal velocity of the falling body is \( (\operatorname{in} \mathrm{m} / \mathrm{s}) \)
• In the two dimensional motions:
• A ball is thrown from rear end of the compartment of train to the front end which is moving at a constant horizontal velocity. An observer \( \boldsymbol{A} \) sitting in compartment and another observer \( B \) standing on the ground draw the trajectory. They will have
• Two forces of 3 N and 4 N act at right angles to each other on a body, as shown in the figure. The magnitude of their resultant is:
• There are three particles shown in the figure as I, II and III. The velocity and acceleration vectors associated with the motion of three particles are shown. Which of the above could represent the velocity and acceleration vectors for a projectile following a parabolic path? I. II. III.

⚔️ Practice NEET Physics free + battle 1v1 →