Home
Class 11
PHYSICS
The velocity v of a particle at time t i...

The velocity v of a particle at time t is given by `v=at+b/(t+c)`, where a, b and c are constants. The dimensions of a, b, c are respectively :-

A

`LT^(-2), L` and T

B

`L^(2)` , T and `LT^(-2)`

C

`LT^(-2)`, LT and L

D

L , LT and `T^(-2)`

Text Solution

Verified by Experts

The correct Answer is:
A
`[c]=T`
`[ b/(t+c)] =[v]`
`implies ([b])/T = LT^(-1)`
`implies [b] = L and ["at"]=[v]`
`implies [a] = LT^(-2)`
Promotional Banner

Topper's Solved these Questions

  • UNITS AND MEASUREMENTS

    NARAYNA|Exercise EXERCISE-IV|21 Videos

  • UNITS AND MEASUREMENTS

    NARAYNA|Exercise NCERT EXEMPLAR QUESTIONS|18 Videos

  • UNITS AND MEASUREMENTS

    NARAYNA|Exercise EXERCISE-II (H.W)|28 Videos

  • TRANSMISSION OF HEAT

    NARAYNA|Exercise LEVEL-II(C.W)|27 Videos

  • VECTORS

    NARAYNA|Exercise LEVEL-II (H.W)|14 Videos

Similar Questions

Explore conceptually related problems

The velocity v of a particle at time A is given by v = at+ (b)/(l +c) where a ,b and c are constant The dimensions of a,b and c are respectively

When a wave transverses in a medium, the displacement of a particle located at distance x at time t is given by y=a sin (bt-cx) where a, b and c are constants of the wave. The dimension of b//c are same as that of:

Velocity v is given by v=at^(2)+bt+c , where t is time. What are the dimensions of a, b and c respectively?

If the velocity of a particle "v" as a function of time "t" is given by the equation,v=a(1-e^(-bt) ,where a and b are constants,then the dimension of the quantity a^2*b^3 will be

The position x of a particle at time t is given by x=(V_(0))/(a)(1-e^(-at)) , where V_(0) is constant and a gt 0 . The dimensions of V_(0) and a are

When a wave traverses a medium, the displacement of a particle located at 'x' at a time 't' is given by y = a sin (bt - cx) , where a,b and c are constants of the wave, which of the following is a quantity with dimensions?

NARAYNA-UNITS AND MEASUREMENTS-EXERCISE-III
  1. Unit of Stefan's constant is

    Text Solution

    |

  2. The dimensions of emf in MKS is

    Text Solution

    |

  3. Candela is the unit of

    Text Solution

    |

  4. The dimensional formula of relative density is

    Text Solution

    |

  5. The dimensional formula for young's modulus is

    Text Solution

    |

  6. The unit of permittivity of free space epsilon(0) is:

    Text Solution

    |

  7. The dimensions of universal gravitational constant are :-

    Text Solution

    |

  8. The velocity v of a particle at time t is given by v=at+b/(t+c), where...

    Text Solution

    |

  9. Dimension of resistance in an elecatrical circuit, in terms of dimensi...

    Text Solution

    |

  10. If the error in the measurement of radius of a sphere in 2% then the e...

    Text Solution

    |

  11. Which two of the following five physical parameters have the same dime...

    Text Solution

    |

  12. If the dimensions of a physical quantity are given by M^(a)L^(b)T^(c)...

    Text Solution

    |

  13. The dimensions of (1)/(2) in(0) E^(2), where in0 is permittivity of fr...

    Text Solution

    |

  14. In CGS system of units, the density of a material is 4 g cm^(-3) . Wha...

    Text Solution

    |

  15. The dimensions of (mu(0)epsilon(0))^(-1//2) are

    Text Solution

    |

  16. In an experiment four quantities a,b,c and d are measure with percenta...

    Text Solution

    |

  17. If force (F) velocity (V) and time (T) are taken as fundamental units,...

    Text Solution

    |

  18. If energy (E ) , velocity (V) and time (T) are chosen as the fundament...

    Text Solution

    |

  19. In dimension of circal velocity v(0) liquid following through a take a...

    Text Solution

    |

  20. Plank 's constant (h) speed of length in vacium (C) and newton 's gra...

    Text Solution

    |