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 and 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
`[a]=[v/t]=(LT^(-1))/(T)=LT^(-2), [C]=[t]=T`
`[b]=[vt]=LT^(-1)T=L`
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS

    ALLEN|Exercise Exersice-03|7 Videos

  • MISCELLANEOUS

    ALLEN|Exercise ASSERTION-REASON|18 Videos

  • MISCELLANEOUS

    ALLEN|Exercise Part -II Example Some worked out Examples|1 Videos

  • KINEMATICS (MOTION ALONG A STRAIGHT LINE AND MOTION IN A PLANE)

    ALLEN|Exercise BEGINNER S BOX-7|8 Videos

  • PHYSICAL WORLD, UNITS AND DIMENSIONS & ERRORS IN MEASUREMENT

    ALLEN|Exercise EXERCISE-IV|8 Videos

Similar Questions

Explore conceptually related problems

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 :-

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?

For a body in a uniformly accelerated motion, the distance of the body from a reference point at time 't' is given by x = at + bt^2 + c , where a, b , c are constants. The dimensions of 'c' are the same as those of (A) x " " (B) at " " (C ) bt^2 " " (D) a^2//b

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

The position of a particle as a function of time t, is given by x(t)=at+bt^(2)-ct^(3) where a,b and c are constants. When the particle attains zero acceleration, then its velocity will be :

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

The position of a particle at time t is given by the equation x(t) = V_(0)/A (1-e^(At)) V_(0) = constant and A > 0 Dimensions of V_(0) and A respectively are

The displacement (x) of a particle as a function of time (t) is given by x=asin(bt+c) Where a,b and c are constant of motion. Choose the correct statemetns from the following.

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.

ALLEN-MISCELLANEOUS-Exercise-01
  1. Which of the following functions of A and B may be performed if A and ...

    Text Solution

    |

  2. If force (F), length (L) and time (T) be considered fundamental units,...

    Text Solution

    |

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

    Text Solution

    |

  4. The method of dimensional analysis can be used to derive which of the ...

    Text Solution

    |

  5. A particle with mass m and initial speed V(0) is a subject to a veloci...

    Text Solution

    |

  6. When a negative charged rod is brought near, but does not touch, the i...

    Text Solution

    |

  7. Two small insulating spheres are attached to silk threads. The spheres...

    Text Solution

    |

  8. Using mass(M),length(L),time(T) and current (A) as fundamental quantit...

    Text Solution

    |

  9. Two point charges +9e and +e are kept 16 cm. Apart from each other. Wh...

    Text Solution

    |

  10. Four charges are arranged at the corners of a square ABCD, as shown in...

    Text Solution

    |

  11. Two equal positive charges Q are fixed at points (a, 0) and (-a,0) on ...

    Text Solution

    |

  12. Two equal negative charges -q each are fixed at points (0,-a) and (0,a...

    Text Solution

    |

  13. Figure below show regular hexagons, with charges at the vertices. In w...

    Text Solution

    |

  14. Two infinite linear charges are placed parallel to each other at a dis...

    Text Solution

    |

  15. An electron of mass M(e), initially at rest, moves through a certain d...

    Text Solution

    |

  16. An electron is projected as in figure with kinetic energy K, at an ang...

    Text Solution

    |

  17. A proton sists at coordinates (x,y)=(0, 0), and an electron at (d, h),...

    Text Solution

    |

  18. A positive point charge 50mu C is located in the plane xy at a point w...

    Text Solution

    |

  19. Three point charges of 1C, 2C and 3C are placed at the corners of an e...

    Text Solution

    |

  20. Rank the work required to assemble the charge distribution below from ...

    Text Solution

    |