Home
Class 12
PHYSICS
The velocity (V) of a particle (in cm/s)...

The velocity (V) of a particle (in cm/s) is given in terms of time (t) in sec by the equation `V=at+(b)/(c+t)`. The dimensions of a, b and c are

A

`{:(a,b,c),(L_(2),T,LT^(2)):}`

B

`{:(a,b,c),(LT^(2),LT,L):}`

C

`{:(a,b,c),(LT^(-2),L,T):}`

D

`{:(a,b,c),(L,LT,T^(2)):}`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • UNITS AND DIMENSIONS, BASIC MATHEMATICS

    MOTION|Exercise Exercise - 1 (Objective Problems) (SECTION - C : Basic Maths )|21 Videos

  • UNITS AND DIMENSIONS, BASIC MATHEMATICS

    MOTION|Exercise Exercise - 1 (Objective Problems) (SECTION - D :- ERRORS )|19 Videos

  • UNITS AND DIMENSIONS, BASIC MATHEMATICS

    MOTION|Exercise Exercise - 1 (Objective Problems) (SECTON-A:- UNIT AND DIMENSION )|20 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 the a particle depends upen the time t according to the equation v= a + bt + ( c) /(d+1) Write the dimension of a, b,c and d.

The velocity upsilon of a particle depends upon time t, according to the equation upsilon = a+ bt +(c )/(d +t) Write the dimensions of a,b,c, and d.

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

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 :-

The velocity 'v' of a particle moving along straight line is given in terms of time t as v=3(t^(2)-t) where t is in seconds and v is in m//s . The distance travelled by particle from t=0 to t=2 seconds is :

MOTION-UNITS AND DIMENSIONS, BASIC MATHEMATICS -Exercise - 1 (Objective Problems) (SECTION - B : Dimension and use of dimensions )
  1. A pair of physical quantities having the same dimensional formula are

    Text Solution

    |

  2. The product of energy and time is called action. Therefore dimensional...

    Text Solution

    |

  3. Dimensions of pressure are same as that of

    Text Solution

    |

  4. Name the physical quantites having dimensions [M^1 L^2 T^(-2)].

    Text Solution

    |

  5. Which one of the following has the dimensions of ML^(–1)T^(–2) ?

    Text Solution

    |

  6. If area (A) velocity (v) and density (rho) are base units, then the di...

    Text Solution

    |

  7. If alpha=F/v^(2) sin beta t, find dimensions of alpha and beta. Here v...

    Text Solution

    |

  8. Given that v is speed, r is the radius and g is the acceleration due t...

    Text Solution

    |

  9. If E,M,J and G respectively denote energy , mass angular momentum ...

    Text Solution

    |

  10. The velocity of a freely falling body changes as g^ph^qwhere g is acce...

    Text Solution

    |

  11. If a and b are two physical quantities having different dimensions the...

    Text Solution

    |

  12. Two physical quantities whose dimensions are not same, cannot be :

    Text Solution

    |

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

    Text Solution

    |

  14. The time dependence of a physical quantity P is given by P=P(0) exp (-...

    Text Solution

    |

  15. Force F is given in terms of time t and distance x by F = A sin Ct + B...

    Text Solution

    |

  16. If force (F) is given by F = Pt^(-1) + alpha t, where t is time. The u...

    Text Solution

    |

  17. When a wave transverses in a medium, the displacement of a particle lo...

    Text Solution

    |

  18. When a wave transverses in a medium, the displacement of a particle lo...

    Text Solution

    |

  19. If force, acceleration and time are taken as fundamental quantities, t...

    Text Solution

    |

  20. In a book, the answer for a particular question is expressed as b=(ma)...

    Text Solution

    |