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 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
Promotional Banner

Topper's Solved these Questions

  • UNITS AND MEASUREMENT

    AAKASH SERIES|Exercise EXERCISE - II|61 Videos
  • UNITS AND MEASUREMENT

    AAKASH SERIES|Exercise PRACTICE EXERCISE|45 Videos
  • UNITS AND MEASUREMENT

    AAKASH SERIES|Exercise PRACTICE EXERCISE|45 Videos
  • SEMICONDUCTOR DEVICES

    AAKASH SERIES|Exercise EXERCISE - III|3 Videos
  • UNITS AND MEASUREMENTS

    AAKASH SERIES|Exercise EXERCISE -3|66 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.

AAKASH SERIES-UNITS AND MEASUREMENT-EXERCISE - I
  1. Which of the following will have the dimensions of time ?

    Text Solution

    |

  2. The dimensional formula for magnetic flux is

    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 dimensions of (1)/(2)epsilon(0)E^(2), where epsilon(0) is permitti...

    Text Solution

    |

  5. A student measures the distance traversed in free fall of a body, init...

    Text Solution

    |

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

    Text Solution

    |

  7. The damping force on a oscillator is directly proportional to the velo...

    Text Solution

    |

  8. A standard unit should be (a) consistent (b) reproducible (c) ...

    Text Solution

    |

  9. The correct order in which the ratio of SI unit to CGS unit increases ...

    Text Solution

    |

  10. Write the ascending order of the units of length given below . (a) F...

    Text Solution

    |

  11. Out of the following the correct order of dimensions of mass increases...

    Text Solution

    |

  12. The correct order in which the dimensions of time decreases in the fol...

    Text Solution

    |

  13. The time period of a seconds pendululm is measured repeatedly for thre...

    Text Solution

    |

  14. (A) All zeros to the right of the last nonzero digit after the decimal...

    Text Solution

    |

  15. If the immediate insignificant digit to be dropped is 5 then there wil...

    Text Solution

    |

  16. How many significant figures are there in the measured values.

    Text Solution

    |

  17. The correct order in which the dimensions of 'Length" increases in the...

    Text Solution

    |

  18. Dimensional formulae are used A) to convert one system of units into...

    Text Solution

    |

  19. (A) The correctness of an equation is verified using the principle of ...

    Text Solution

    |

  20. Which of the following is not a unit of time A) par - sec " " B)...

    Text Solution

    |