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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Physics
Chapter
Center of Mass, Momentum and Collision

NTA Abhyas 2020 · Physics · Center of Mass, Momentum and Collision

The coefficient of restitution between a snooker ball and the side...

The coefficient of restitution between a snooker ball and the side cushion is 13.Iftheballhitsthecushionandthenreboundsatrightanglestoitsoriginaldirection,thenwhatistheanglemadewiththesidecushionbythedirectionofmotionbeforeandafterimpact?\dfrac{1}{3}. If the ball hits the cushion and then rebounds at right angles to its original direction, then what is the angle made with the side cushion by the direction of motion before and after impact?The coefficient of restitution between a snooker ball and the side cushion is (1)/(3). If the ball hits the cushion and

Options

  1. Atan⁡−1(13)\tan^{-1} \left(\dfrac{1}{3}\right)
  2. Btan⁡−1(3)\tan^{- 1} \left(\sqrt{3}\right)
  3. Ccot⁡−1(3)\cot^{-1} \left(3\right)
  4. Dcot⁡−1(13)\cot^{-1} \left(\dfrac{1}{3}\right)

Correct answer

B. tan⁡−1(3)\tan^{- 1} \left(\sqrt{3}\right)

Step-by-step solution

The coefficient of restitution between a snooker ball and the side cushion is (1)/(3). If the ball hits the cushion and

coefficient of restitution =13= \dfrac{1}{3}

\text{u}\text\cos\theta = v\text\sin\theta ... (1)

\text{v}\text\cos\theta = \dfrac{u}{3}\text\sin\theta~......(2)</p><p>From(1)and(2)<br/><br/></p><p>From (1) and (2)<br /><br />\tan^{2}\theta = 3<br/><br/><br /><br />\theta = \tan^{-1} \left(\sqrt{3}\right)

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