Home
Class 12
PHYSICS
Given that int(dx)/(sqrt(2ax-x^(2)))=a^(...

Given that `int(dx)/(sqrt(2ax-x^(2)))=a^(n)sin^(-1)[(x-a)/(a)]`
where, `a` = constant. Using dimensional analysis, the value of `n` is

A

`1`

B

`0`

C

`-1`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise MOTION IN A STRAIGHT LINE|59 Videos

  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise MOTION IN A PLANE|87 Videos

  • APPENDICES ( REVISION EXERCISE )

    AAKASH SERIES|Exercise REVISION EXERCISE (MAGNETISM AND MATTER )|52 Videos

  • ATOMS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|21 Videos

Similar Questions

Explore conceptually related problems

Given that int (dx)/(sqrt(2 ax - x^2)) = a^n sin^(-1) ((x-a)/(a)) where a is a constant. Using dimensional analysis. The value of n is

int(dx)/(sqrt(1-x^(2))(sin^(-1)x)^(2))

int(dx)/(sqrt(2x-x^2) = a^n sin^-1[x/a-1] The value of n is You may use dimensional analysis to solve the problem.

int_((x sin^(-1)x)/(sqrt(1-x)^(2)))dx

int(sqrt(1+x^2)-x)^n dx

int(e^x[1+sqrt(1-x^2)sin^-1x])/sqrt(1-x^2)dx

Evaluate: int(sin^(-1)x)/(sqrt(1-x^2))\ dx

You may not know integration , but using dimensional analysis you can check on some results . In the integral int ( dx)/(( 2ax - x^(2))^(1//2)) = a^(n) sin^(-1) ((x)/(a) -1) , find the valiue of n .

Evaluate: inte^(sin^-1x)/sqrt (1-x^2)dx

Let x and a stand for distance . Is int (dx)/(sqrt (a^(2) - x^(2))) = (1)/(a) sin^(-1) (a/(x)) dimensionally correct ?

AAKASH SERIES-APPENDICES (REVISION EXERCISE)-LAW OF MOTION
  1. Given that int(dx)/(sqrt(2ax-x^(2)))=a^(n)sin^(-1)[(x-a)/(a)] where,...

    Text Solution

    |

  2. A body of mass 1 kg is moving with velocity 30 ms^(-1) due north. It i...

    Text Solution

    |

  3. A force of 20 N acts on a body of mass 5kg at rest. What is the accele...

    Text Solution

    |

  4. A truck starts from rest and accelerates uniformly at 2.0 ms^(-2) . At...

    Text Solution

    |

  5. A particle of mass 70 g, moving at 50 cm/s , is acted upon by a variab...

    Text Solution

    |

  6. A ball of mass 400 gm is dropped from a height of 5m. A boy on the gro...

    Text Solution

    |

  7. A batsman deflects a ball by an angle of 60° without changing its init...

    Text Solution

    |

  8. A body of mass 5 kg is at rest. Three force F(1) = 10 N due North F2=1...

    Text Solution

    |

  9. The momentum of a body in two perpendicular direction at any time 't' ...

    Text Solution

    |

  10. A bullet is fired from a gun. The force on the bullet is given by F=60...

    Text Solution

    |

  11. A body of mass 5kg starts from the origin with an initial velocity of...

    Text Solution

    |

  12. A 15Kg mass is accelerated from rest with a force of 100N. As it moves...

    Text Solution

    |

  13. A cart loaded with sand moves along a horizontal floor due to a consta...

    Text Solution

    |

  14. Two billiard balls each of mass 0.05 kg moving in opposite direction w...

    Text Solution

    |

  15. Figure 5.17 shows the position-time graph of a body of mass 0.04 kg . ...

    Text Solution

    |

  16. The driver of a three-wheeler moving with a speed of 36 km/h sees a ch...

    Text Solution

    |

  17. If the average velocity of a body moving with uniform acceleration und...

    Text Solution

    |

  18. Five persons A, B, C, D & E are pulling a cart of mass 100kg on a smoo...

    Text Solution

    |

  19. A box is put on a scale which is adjusted to read zero, when the box i...

    Text Solution

    |

  20. Two masses each equal to m are lying on x-axis at (-a,0)(+a,0) respect...

    Text Solution

    |

  21. Water is flowing at a speed of 1.5ms^(-1) through a horizontal tube of...

    Text Solution

    |