Home
Class 14
MATHS
Initially the diameter of a balloon is ...

Initially the diameter of a balloon is 28 cm. It can explode when the diameter becomes 5/2 times of the initial diameter . Air is brown at 156 cc/s. It is known that the shape of balloon always remains spherical . In how many seconds the balloon will explode ?

A

1078s

B

1368 s

C

1087 s

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • LOGARITHM

    QUANTUM CAT|Exercise QUESTION BANK|159 Videos
  • NUMBER SYSTEM

    QUANTUM CAT|Exercise QUESTION BANK|1091 Videos

Similar Questions

Explore conceptually related problems

A cylindrical water tank of diameter 1.4m and height 2.1m is being fed by a pipe of diameter 3.5cm through which water flows at the rate of 2 metre per second.In how much time the tank will be filled?

A spherical balloon contains air at pressure P_(1) and is placed in vacuum. It has an initial diameter of D_(1) . The balloon is heated until its diameter becomes D_(2) = 2D_(1) . It is known that pressure in the balloon is proportional to its diameter. Calculate the work done by the gas in expansion.

A spherical balloon is being inflated at the rate of 35 cc/min. The rate of increase of the surface area of the bolloon when its diameter is 14 cm is

The surface are of a balloon being inflated changes at a constant rate.If initially,its radius is 3units sand after 2 seconds,it s5 units,find the radius after t seconds.

The radius of a cylindrical cistern is 10 metres and its height is 15 metres. Initially the cistern is empty. We start filling the cistern with water through a pipe whose diameter is 50 cm. Water is coming out of the pipe with a velocity of 5 m/sec. How many minutes will it take in filling the cistern with water? (a) 20 (b) 40 (c) 60 (d) 80

A balloon,which always remains spherical,has a variable diameter.Detrmine the rate of change of volume with respect to.

Festival season is going in Agrabah and the people are going crazy to see various sorcerers, craftsmen etc. who are visiting the city to showcase their magic. A large crowd has gathered around a Card-master who is asking a logical riddle to the crowd. Whosoever succeeds in solving the riddle gets a reward. He arranges the cards of first 20 natural numbers and lists down the difference between two consecutive numbers (value on right card minus value on the left card) of the arrangement, which are 19 in number. The difference is given as -11 8 -7 -2 11 -4 12 -15 11 3 -13 9 -1 -3 6 -10 -3 5 9 The city is beautifully lightened up with candles and diyas and the vibes of happiness and joy were coming from all the directions. Aladdin and Abu are also enjoying the festival when they find a very interesting game of balloons. Inflated balloons are arranged in a straight line and are marked with English Upper case letters. The player can perform the following action any number of times (including zero): Choose any one of the balloons from the straight line and replace the letter on it with any other Uppercase English letter. Note that even if the replaced letter occurs S multiple times, only the chosen occur- rence of this letter is replaced. Find the sum of the minimum number of operations required to convert the given balloon line to balanced ones. Let's call a balloon line balanced if all characters that occur in this balloon line occur the same number of times. Line 1: ABAAACDHIAACKIOA (16 letters) Line 2: BBCABCDFAHABNAJHDYWGEJA (23 letters) Line 3: ABSDJAHSABDJAMDHANDHASAKIABCHD (30 letters)

A circular coil of radius 10 cm is placed in uniform magneic field of 3.0 xx 10^(-5) T with its plane perpendicular to the field initially. It is rotated at constant angular speed about and axis along the diameter of coil and perpendicular to magnetic field so that is undergoes half of rotation in 0.2s. The maximum value of EMF induced ("in" mu V) in the coil will be close to the integer._________.

QUANTUM CAT-MENSURATION-QUESTION BANK
  1. Assume that a mango and its speed , both are spherical , now if the ra...

    Text Solution

    |

  2. In the adjoining diagram ABCD is a square with side 'a' cm. In the di...

    Text Solution

    |

  3. Initially the diameter of a balloon is 28 cm. It can explode when the...

    Text Solution

    |

  4. The radius of a cone is sqrt(2) times the height of the cone. A cube o...

    Text Solution

    |

  5. Raju has 64 small cube of 1 cm^(3). He wants to arrange all of them ...

    Text Solution

    |

  6. The volume of a cylinder is 48.125 cm^3, which is formed by rolling a ...

    Text Solution

    |

  7. Consider a cylinder of height h cm and radius r=(4)/(pi) cm as shown ...

    Text Solution

    |

  8. Consider a cylinder of height h cm and radius r=(4)/(pi) cm as shown ...

    Text Solution

    |

  9. A blacksmith has a rectangular iron sheet 10 ft long. He has to cut ou...

    Text Solution

    |

  10. The perimeter of a non-square rhombus is 20 cm. One of its diagonal is...

    Text Solution

    |

  11. In the adjoining figure ABC is an equilateral triangle inscribeing ...

    Text Solution

    |

  12. A mixture contains alcohol and water in the ratio 4:3. If 5 litres of ...

    Text Solution

    |

  13. A box contains 420 coins in 1 rupee, 50 paisa and 20 paisa coins, the ...

    Text Solution

    |

  14. There are two cylindrical containers of equal capacity and equal dimen...

    Text Solution

    |

  15. The four vertices of a unit square act as the centres of four quarter-...

    Text Solution

    |

  16. Four small squares of equal size are cut off from each of the four cor...

    Text Solution

    |

  17. The following diagram depicts the Earth. For the sake of convenience a...

    Text Solution

    |

  18. The ratio of the ages of two persons is 4:7 and age of one of them is ...

    Text Solution

    |

  19. A sheep and a goat are tethered at the diagonally opposite ends of a s...

    Text Solution

    |

  20. What is the area of the largest semicircle that can be inscribed in th...

    Text Solution

    |