Home
Class 12
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
Promotional Banner

Topper's Solved these Questions

  • UNITS AND DIMENSIONS, BASIC MATHEMATICS

    MOTION|Exercise Exercise - 3 ( Section-B Previous Year Problems )|10 Videos
  • UNITS AND DIMENSIONS, BASIC MATHEMATICS

    MOTION|Exercise PRACTICE QUESTION|4 Videos
  • UNITS AND DIMENSIONS, BASIC MATHEMATICS

    MOTION|Exercise Exercise - 2 (Objective Problems )|25 Videos
  • UNIT & DIMENSIONS

    MOTION|Exercise Exercise - 4 (Level - II) (PREVIOUS YEAR JEE ADVANCED)|10 Videos
  • VECTOR

    MOTION|Exercise Exercise - 3|18 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?

MOTION-UNITS AND DIMENSIONS, BASIC MATHEMATICS -Exercise - 3 ( Section-A Previous Year Problems )
  1. "Pascal-Second" has dimension of

    Text Solution

    |

  2. Assertion : Specific gravity of a fluid is a dimensionless quantity. ...

    Text Solution

    |

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

    Text Solution

    |

  4. Dimension of electrical resistance is :-

    Text Solution

    |

  5. Which of the following units denotes the dimensions [ML^(2)//Q^(2)], w...

    Text Solution

    |

  6. The ratio of the dimensions of plank's constant and that of the moment...

    Text Solution

    |

  7. The speed (v) of ripples on the surface of waterdepends on surface ten...

    Text Solution

    |

  8. The velocity (V) of a particle (in cm/s) is given in terms of time (t)...

    Text Solution

    |

  9. If P represents radiation pressure , C represents the speed of light ...

    Text Solution

    |

  10. The physical quantity having the dimensions [M^(–1)L^(–3)T^(3)A^(2)] i...

    Text Solution

    |

  11. the dimensional formula for planck's constant and angular momentum ar...

    Text Solution

    |

  12. If dimensions of A and B are different, then which of the following op...

    Text Solution

    |

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

    Text Solution

    |

  14. The speed of light ( c), gravitational constant (G) and plank's consta...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. Find the dimensions of capacitance.

    Text Solution

    |

  19. IF C and R denote capacitance and resistance, then find the dimension ...

    Text Solution

    |

  20. The dimensions of 1/2 epsilon(0)E^(2) (epsilon(0)= permittivity of fre...

    Text Solution

    |