Home
Class 12
PHYSICS
Verify the correctness of the equations ...

Verify the correctness of the equations `v = u + at`.

Text Solution

Verified by Experts

In the dimensional form
`[L^(1)T^(-1)]=[L^(1)T^(-1)]+[L^(1)T^(-2)][T^(1)]=[L^(1)T^(-1)]`
The dimension for L on both sides is 1
The dimension for T on both sides is -1
Hence from the principle of homogeneity of dimensions the given cquation is correct.
Promotional Banner

Topper's Solved these Questions

  • UNITS AND MEASUREMENTS

    AAKASH SERIES|Exercise EXERCISE -1 A|187 Videos
  • UNITS AND MEASUREMENTS

    AAKASH SERIES|Exercise EXERCISE- 1 B|28 Videos
  • UNITS AND MEASUREMENTS

    AAKASH SERIES|Exercise QUESTIONS FOR DESCRIPTIVE ANSWERS|7 Videos
  • UNITS AND MEASUREMENT

    AAKASH SERIES|Exercise PRACTICE EXERCISE|45 Videos
  • WAVE MOTION

    AAKASH SERIES|Exercise PRACTICE SHEET ADVANCED (INTEGER TYPE QUESTIONS)|10 Videos

Similar Questions

Explore conceptually related problems

Let us check the dimensional correctness of the relation v = u + at .

Check the correctness of the equations (i) s=ut+1/2at^(2) (ii) v^(2)=u^(2)+2as using dimensions.

Check the correctness of the following equation by the method of dimensions (i) v^(2)=u^(2)+2gs (ii) s=ut+1/2"gt"^(2) (iii) v=u+"gt"

(A) The correctness of an equation is verified using the principle of homogeneity (B) All unit less quantities are dimensional less.

Can we use the equation v = u + at in SHM or not ?

Verify that x=4 is a root of the equation 2x-3=5

Verify that x=4 is a root of the equation 2x-3=5.

If u and v are the roots of the equation x^2+2x-2=0 , then the value of log_2(u^2+v^2)-log_2u^2-log_2v^2 is (a) -1 (b) 1 (c) 0 (d) -2

Verify that y=9 is the solution of the equation y/3+5=8.

Verify that x=3 is the solution of the equation 2x-3=3.

AAKASH SERIES-UNITS AND MEASUREMENTS-PROBLEM
  1. Find the product of 1.2, 2.54 and 3.257 with due regard to significant...

    Text Solution

    |

  2. Enthalpy change of a reaction with be equal to

    Text Solution

    |

  3. A substance having mass 5.74 g occupies a volume of 1.2cm^3. Caluclate...

    Text Solution

    |

  4. Find out the results of the following operations. (i) 117.3 xx 0.002...

    Text Solution

    |

  5. If a circular piece of tin has a measured radius of 2.6 cm . What is c...

    Text Solution

    |

  6. The diameter of a sphere is 4.24 m . Calculate its surface area with d...

    Text Solution

    |

  7. Each side of a cube is measured to be 7.203 m. what are the total surf...

    Text Solution

    |

  8. The length and breadth of a rectangular sheet are 16.2 cm and 10.1 cm...

    Text Solution

    |

  9. Convert 1 newton (SI unit of force) into dyne (CGS unit of force)

    Text Solution

    |

  10. Convert the unit of work done from MKS system to CGS system (i.e. joul...

    Text Solution

    |

  11. Verify the correctness of the equations v = u + at.

    Text Solution

    |

  12. Check the correctness of the formula S = ut + 1/3 "at"^2 where S is th...

    Text Solution

    |

  13. Show that the expression of the time period T of a simple pendulum of ...

    Text Solution

    |

  14. The time period Of oscillation of a simple pendulum depends on the fol...

    Text Solution

    |

  15. A gas bubble from an explosion under water oscillates with a period T ...

    Text Solution

    |

  16. The dimensional formula of product and quotient of two physical quanti...

    Text Solution

    |

  17. If the equation of state of a gas is expressed as (P + a/(V^2)) (V - b...

    Text Solution

    |

  18. If E, M, L and G denote energy, mass, angular momentum and gravitation...

    Text Solution

    |

  19. If pressure P, velocity V and time T are taken as fundamental physical...

    Text Solution

    |

  20. If unit of mass is taken as 1 kg, of time a 1 minute and that accelera...

    Text Solution

    |