Home
Class 11
PHYSICS
The velocity of a body is given by the e...

The velocity of a body is given by the equation `v= b//t + ct^(2) + dt^(3)`. Find the dimensional formula for b.

Text Solution

Verified by Experts

`(b//t)` should have the dimensions of velocity
b has the dimensions of (velocity `xx` time)
`[b] = [LT^(-1)][T] = [L] = [M^(0)L^(1)T^(0)]`
Promotional Banner

Topper's Solved these Questions

  • NATURE OF PHYSICAL WORLD AND MEASUREMENT

    FULL MARKS|Exercise TEXTBOOK QUESTIONS SOLVED ( MULTIPLE CHOICE QUESTIONS )|15 Videos
  • NATURE OF PHYSICAL WORLD AND MEASUREMENT

    FULL MARKS|Exercise TEXTBOOK QUESTIONS SOLVED ( SHORT ANSWER QUESTIONS)|5 Videos
  • MOTION OF SYSTEM OF PARTICLES AND RIGID BODIES

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED - III (LONG ANSWER QUESTIONS (5 MARKS))|6 Videos
  • OSCILLATIONS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (IV NUMERICAL PROBLEMS )|10 Videos

Similar Questions

Explore conceptually related problems

The velocity of a particle is given by the equation, v = 2t^(2) + 5 cms^(-1) . Find the instantaneous acceleration at t_(2) = 4s

The velocity of a particle is given by the equation, v = 2t^(2) + 5 cms^(-1) . Find the change in velocity of the particle during the time interval between t_(1) = 2s and t_(2) = 4s .

The velocity of a particle is given by the equation, v = 2t^(2) + 5 cms^(-1) . Find the average acceleration during the time interval between t_(1) = 2s and t_(2) = 4s .

In equation of motion S=ut + 1/2 kt^(2) , the dimensional formula for K is.................

FULL MARKS-NATURE OF PHYSICAL WORLD AND MEASUREMENT -ADDITIONAL QUESTIONS SOLVED ( SHORT ANSWER QUESTIONS (2 MARK))
  1. The velocity of a body is given by the equation v= b//t + ct^(2) + dt^...

    Text Solution

    |

  2. The vernier scale of a travelling microscope has 50 divisions which co...

    Text Solution

    |

  3. If the unit of force is 100N, unit of length is 10m and unit of time i...

    Text Solution

    |

  4. State the principle of homogeneity. Test the dimensional homogeneity o...

    Text Solution

    |

  5. In Vander Waal's gas equation (P + (2)/(V^(2))) (V-b) = RT. Determine ...

    Text Solution

    |

  6. Magnitude of force experienced by an object moving with speed v is giv...

    Text Solution

    |

  7. A book with printing error contains four different formulae for displa...

    Text Solution

    |

  8. Determine the number of light years in one metre.

    Text Solution

    |

  9. The mass of a box measured by a grocer's balance is 2.3 kg. Two gold p...

    Text Solution

    |

  10. 5.74 g of a substance occupies 1.2 cm^(3) Express its density to corre...

    Text Solution

    |

  11. If displacement of a body s = (200 pm 5) m and time taken by it t = (2...

    Text Solution

    |

  12. If the error in measurement of mass of a body be 3% and in the measure...

    Text Solution

    |

  13. The length of a rod as measured in an experiment was found to be 2.48 ...

    Text Solution

    |

  14. A physical quantity is measured as Q = (2.1 pm 0.5) units. Calculate t...

    Text Solution

    |

  15. Jupiter is at a distance of 824.7 million km from the Earth. Its angul...

    Text Solution

    |

  16. A laser light beamed at the Moon takes 2.56s and to return after refle...

    Text Solution

    |

  17. Convert 3 ms^(-2) "to km" h^(-2) (ii) G = 6.67 xx 10^(-11) N m^(2) ...

    Text Solution

    |

  18. A calorie is a unit of heat or energy and it equals 4.2 J where 1J = 1...

    Text Solution

    |

  19. The escape velocity v of a body depends upon (i) the acceleration due ...

    Text Solution

    |

  20. The frequency of vibration of a string depends on, (i) tension in the ...

    Text Solution

    |

  21. One mole of an ideal gas at STP occupies 22.4 L. What is the ratio of ...

    Text Solution

    |