Home
Class 12
PHYSICS
A bottle has an opening of radius a and ...

A bottle has an opening of radius a and length b. A cork of length b and radius `(a+Delta A)` is compressed to fit into the opening completely (See figure). If the bulk modulus of cork is B and frictional coefficient between the bottle and cork is  then the force needed to push the cork into the bottle is :

A

`(pi mu Bb)` a

B

`(2pi muB b) Deltaa`

C

`(pi mu B b) Delta a`

D

`(4pi mu Bd) Deltaa`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 29

    NTA MOCK TESTS|Exercise PHYSICS|25 Videos
  • NTA JEE MOCK TEST 31

    NTA MOCK TESTS|Exercise PHYSICS|25 Videos

Similar Questions

Explore conceptually related problems

The neck and bottom of a bottle are 3 cm and 15 cm in radius respectively. If the cork is pressed with a force 12 N in the neck of the bottle, then force exerted on the bottom of the bottle is :-

A man of mass m walks from end A to the other end B of a boat of mass M and length l. The coefficient of friction between the man and the boat is mu an neglect any resistive force between the boat and the water.

A rigid cylindrical container has inner radius r. A cork having radius r + Delta r and length L is to be fitted so as to close the container. Uniform pressure (Delta P) is needed on the curved cylindrical surface of the cork. Poisson’s ratio of a cork is almost zero, and its bulk modulus is B. (a) Calculate Delta P (b) After the cork is fitted how much force will be needed to pull it out of the container? Coefficient of friction between the container and the cork is mu .

The system is pushed by a force F as shown in figure. All surfaces are smooth except between B and C Friction coefficient between B and C is mu . Minimum value of F to prevent blokc B from downward slipping is

The system is pushed by a force F as shown in figure All surface are smooth except between B and C friction coefficient between B and C is Minimum value of F to prevent block B from down ward slipping is

Figure-2.47 shows a cylindrical container of radius 5cm and a piston is fitted in it to enclose a length of 20 cm in it.The cylinder contains an ideal gas at a pressure of 1 atmosphere and 300 K temperature.The cylinder is slowly heated and it is found that the piston starts displacing when the gas temperature reaches 600 K. It is given that the friction coefficient between the piston sidesand the container wall is 0.2. Find the normal force acting between piston sides and the container wall per unit length ofits circumference.

A flat race track consists of two straight section AC and DB each of length 180 m and one semi circular section DC of radius R = 150 m. A car starting from rest at A has to reach B in least possible time (the car may cross through point B and need not stop there). The coefficient of friction between the tyres and the road is mu = 0.6 and the top speed that the car can acquire is 180 kph. Find the minimum time needed to move from A to B under ideal conditions. Braking is not allowed in the entire journey [ g = 10 m//s^(2) ]

A ball moves along a curved path of radius 5m as shown in figure. It starts from point A and reaches the point B. Calculate the normal force that acts on the ball at B, assuming that there is no friction between the ball and the surface of contact.

A block of mass 5 kg is (i) pushed in case (A) and (ii) pulled in case (B), by a force F = 20 N, making an angle of 30^(@) with the horizontal, as shown in the figures. The coefficient of friction between the block and floor is mu=0.2 . The difference between the accelerations of the block, in case (B) and case (A) will be: (g=10ms^(-2))

NTA MOCK TESTS-NTA JEE MOCK TEST 30-PHYSICS
  1. The part of a circuit shown in the figure consists of two ideal diodes...

    Text Solution

    |

  2. A disc of mass 2 kg and radius 0.2 m is rotating with angular veocity ...

    Text Solution

    |

  3. A bottle has an opening of radius a and length b. A cork of length b a...

    Text Solution

    |

  4. Lights of wavelenths lambda(1)=340nm and lambda(2)=540nm are incident ...

    Text Solution

    |

  5. A block of mass m is attached to a cart of mass 4m through spring of s...

    Text Solution

    |

  6. A current - carrying loop is shown in the figure. The magnitude of the...

    Text Solution

    |

  7. Weight fo a body of a mass m decreases by 1% when it is raised to heig...

    Text Solution

    |

  8. A ring of charge with radius 0.5m has 0.002 pi m gap. If the ring carr...

    Text Solution

    |

  9. A positive point charge is placed at P in front of an earthed metal sh...

    Text Solution

    |

  10. A square coil of side 25cm having 1000 turns is rotated with a uniform...

    Text Solution

    |

  11. The three resistance of equal value are arranged in the different comb...

    Text Solution

    |

  12. In the circuit shown, current (in A) through the 50 V and 30 V batteri...

    Text Solution

    |

  13. At a place the true value of angle of dip is 60^(@). If dip circle is ...

    Text Solution

    |

  14. Two bodies of same mass tied with an inelastic string of length l lie ...

    Text Solution

    |

  15. Steam at 100^@C is passed into 1.1 kg of water contained in a calorime...

    Text Solution

    |

  16. A hydrogen like atom (atomic number z) is in a higher excited state of...

    Text Solution

    |

  17. A source of sound of frequency 300 Hz and a receiver are located along...

    Text Solution

    |

  18. Diameter or aperture of a plano - convex lens is 6 cm and its thicknes...

    Text Solution

    |

  19. A vessel whose bottom has round holes with diameter of 1 mm is filled...

    Text Solution

    |

  20. A solid spherical ball of radius (5)/(9)m is connected to a point A on...

    Text Solution

    |