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

  • UNIT & DIMENSIONS, BASIC MATHS AND VECTOR

    ALLEN|Exercise Exercise (O-1) Multiple Correct Type Questions.|3 Videos
  • UNIT & DIMENSIONS, BASIC MATHS AND VECTOR

    ALLEN|Exercise Exercise (O-1) ComprehensionType Questions.|3 Videos
  • UNIT & DIMENSIONS, BASIC MATHS AND VECTOR

    ALLEN|Exercise Exercise (S-2)|7 Videos
  • TEST PAPERS

    ALLEN|Exercise MATHS|18 Videos
  • WAVE OPTICS

    ALLEN|Exercise Exercise 2 (Previous Year Questions)|7 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?

ALLEN-UNIT & DIMENSIONS, BASIC MATHS AND VECTOR -Exercise (O-1) Single Correct Type Questions.
  1. Which of the following can be a set of fundamental quantities.

    Text Solution

    |

  2. Which of the following functions of A and B may be perfomed if a and B...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. Density of wood is 0.5 g//c c in the CGS system of units. The correspo...

    Text Solution

    |

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

    Text Solution

    |

  7. The frequency f of vibrations of a mass m suspended from a spring of s...

    Text Solution

    |

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

    Text Solution

    |

  9. In a particular system the units of length, mass and time are chosen t...

    Text Solution

    |

  10. The unit of three physical quantities x, y and z are g cm^(2) s^(-5), ...

    Text Solution

    |

  11. The angle subtended by the moon's diameter at a point on the earth is ...

    Text Solution

    |

  12. Statement 1: Method of dimensions cannot tell whether an equations is ...

    Text Solution

    |

  13. The equation of the stationary wave is y = 2 A sin (( 2 pi c t)/( la...

    Text Solution

    |

  14. Due to some unknown interaction, force F experienced by a particle is ...

    Text Solution

    |

  15. Three concurrent force of the same magnitude are in equilibrium. What ...

    Text Solution

    |

  16. The resultant of two forces,one double the other in magnitude,is perpe...

    Text Solution

    |

  17. The resultant of two forces acting an anlge of 120^(@) is 10 kg wt and...

    Text Solution

    |

  18. If the resultant of two forces of magnitudes P and Q acting at a point...

    Text Solution

    |

  19. There are two forces vector,one of 5N and other of 12N. At what angle ...

    Text Solution

    |

  20. A body placed in free space, is simultaneously acted upon by three for...

    Text Solution

    |