Home
Class 11
PHYSICS
Test the dimensional consistency of the ...

Test the dimensional consistency of the following equations :
`(i)v=u+at" "(ii) v^(2)=u^(2)+2as" "(iii)E=mc^(2)" "(iv)(1)/(2)mv^(2)=mgh`

Text Solution

Verified by Experts

The correct Answer is:
All relation are dimensionally correct
Promotional Banner

Topper's Solved these Questions

  • PHYSICAL WORLD AND MEASUREMENTS

    SL ARORA|Exercise Based on Deriving relationship|12 Videos

  • PHYSICAL WORLD AND MEASUREMENTS

    SL ARORA|Exercise Based on Significant|15 Videos

  • PHYSICAL WORLD AND MEASUREMENTS

    SL ARORA|Exercise problem|10 Videos

  • Physical world

    SL ARORA|Exercise Exercise|49 Videos

  • PROJECTILE MOTION

    SL ARORA|Exercise Problem For Self Practice|50 Videos

Similar Questions

Explore conceptually related problems

Test the dimensional consistency of the following equations: v= u + at

Test the dimensional consistency of the following equations: v^2 - u^2 - 2as .

Test the dimensional consistency of the following equations: s= ut + (1/2) at^2

Check the dimensional consistency of the following equations : (i) upsilon = u +at (ii) s = ut +(1)/(2) at^2 (iii) upsilon^2 - u^2 = 2as

Check the dimensional consistency of the relations : (i) S= ut+(1)/(2)at^(2) (ii) (1)/(2)mv^(2)= mgh .

An object acceleraties uniformly from initial velocity u to final velocity v. if travels distance s in time t. Then check the dimensional consistency of the following equations. Which of them are correct physically? (i) v_(av)=(u+v)/3 (ii) s=ut+1/2at^(2) (iii) v^(2)-u^(2)=(2s)/a

Check the dimensional consistency of the equation (mV^2)/(r )= (Gm_(1)m_(2))/(r^2) .

Solve the following equations 8v-3u=5uv and 6v-5u=2uv

Check the dimensional consistency of the following equations : (i) de-Broglie wavelength , lambda=(h)/(mv) (ii) Escape velocity , v=sqrt((2GM)/(R)) .

Prove the following relations by calculus method: v^2-u^2=2as

SL ARORA-PHYSICAL WORLD AND MEASUREMENTS-problem for self practice
  1. If the unit of force energy and velocity are 20 N, 200J and 5m//s, fin...

    Text Solution

    |

  2. When 1m, 1kg and 1min. Are taken as the fundamental units, the magnitu...

    Text Solution

    |

  3. If the units of length and force be increased three times, show that t...

    Text Solution

    |

  4. If velocity of light is taken as the unit of velocity and an year is t...

    Text Solution

    |

  5. Test the dimensional consistency of the following equations : (i)v=u...

    Text Solution

    |

  6. Use principle of homogenity of dimensions to find which one of the fo...

    Text Solution

    |

  7. A student conclude that the velocity v of a body falling freely under ...

    Text Solution

    |

  8. The viscous force 'F' acting on a small sphere of rtadius 'r' moving w...

    Text Solution

    |

  9. The dimensions of 'k' in the relation V = k avt (where V is the volume...

    Text Solution

    |

  10. The cirtical velocity (upsilon) of flow of a liquied through a pipe of...

    Text Solution

    |

  11. The rate of flow (V) of a liquid flowing through a pipe of radius r a...

    Text Solution

    |

  12. Test if the following equations are dimensionally correct: (a) h=(2S...

    Text Solution

    |

  13. The time period of a compound pendulum is given by T=2pisqrt((I)/(mg...

    Text Solution

    |

  14. Find the dimensions of the quantity q from the expression T = 2pi sqr...

    Text Solution

    |

  15. An artificial satellite of mass m is revolving in a circualr orbit aro...

    Text Solution

    |

  16. Check by the method of dimensions, the formula v = (1)/(lambda)sqrt((...

    Text Solution

    |

  17. Check the correctness of the equation : y = a "sin" (omega t + phi), w...

    Text Solution

    |

  18. Find the dimension of (a/b) in the equation : v = a + bt , where v is...

    Text Solution

    |

  19. Write the dimensions of a xx b in the relation E = ( b - x^(2))/( at),...

    Text Solution

    |

  20. The dimension of (a)/(b) in the equation p=(a-t^(-2))/(bx) where P is ...

    Text Solution

    |