A table tennis ball has radius (3/2) × 10 −2 m and mass (22/7) × 10 −3 kg. It is slowly…
Mathematics · JEE Advanced · NTA Exams — Trigonometry
A table tennis ball has radius (3/2) × 10−2 m and mass (22/7) × 10−3 kg. It is slowly pushed down into a swimming pool to a depth of d = 0.7 m below the water surface and then released from rest. It emerges from the water surface at speed v, without getting wet, and rises up to a height H. Which of the following option(s) is(are) correct?
[Given: π = 22/7, g = 10 m s−2,
density of water = 1 × 103 kg m−3,
viscosity of water = 1 × 10−3 Pa-s.]
[Given: π = 22/7, g = 10 m s−2,
density of water = 1 × 103 kg m−3,
viscosity of water = 1 × 10−3 Pa-s.]
- The work done in pushing the ball to the depth d is 0.077 J.
- If we neglect the viscous force in water, then the speed v = 7 m/s.
- If we neglect the viscous force in water, then the height H = 1.4 m.
- The ratio of the magnitudes of the net force excluding the viscous force to the maximum viscous force in water is 500/9 .
Answer
(D) The ratio of the magnitudes of the net force excluding the viscous force to the maximum viscous force in water is 500/9 .
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- If k 1 = tan 27θ – tan θ and k _ 2 = 3 + 3 9 + 9 27 , then
- Consider three points P = (– sin( β – α ), – cos β ), Q = (cos( β – α ), sin β ) and R = (cos( β – α + θ )…
- If + = 2 and + = , then tan α equals :
- The number of values of x where the function f ( x ) = cos x + cos attains its maximum, is
- The total number of real solutions of the equation = ^ -1 (2 )- 1 2 ^ -1 ( 6 9+ ^ 2 ) is (Here, the inverse…
- The equation k cos x –3 sin x = k + 1 is solvable only if k belongs to the interval
- A vessel containing water is given a constant acceleration ‘ a ’ towards the right along a straight…
- Assertion : The function f (x) = min sin x, cos x takes the value 4 5 twice when x varies from 20 3 to 43 6 …