Home
Class 11
PHYSICS
Force F is given by F=at+bt^(2). Where '...

Force F is given by `F=at+bt^(2)`. Where ''t'' is time. What are the dimensions of ''a'' and ''cb''?

A

`[MLT^(-3)] and [MLT^(-4)]`

B

`[MLT^(-4)] and [MLT^(-3)]`

C

`[MLT^(-1)] and [MLT^(-2)]`

D

`[MLT^(-2)] and [MLT^(-0)]`

Text Solution

Verified by Experts

The correct Answer is:
D
`[MLT^(-2)] and [MLT^(-0)]`
Promotional Banner

Topper's Solved these Questions

  • NATURE OF PHYSICAL WORLD AND MEASUREMENT

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED ( SHORT ANSWER QUESTIONS (1 MARK))|15 Videos

  • NATURE OF PHYSICAL WORLD AND MEASUREMENT

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED ( SHORT ANSWER QUESTIONS (2 MARK))|20 Videos

  • NATURE OF PHYSICAL WORLD AND MEASUREMENT

    FULL MARKS|Exercise TEXTBOOK QUESTIONS SOLVED ( CONCEPTUAL QUESTIONS:)|5 Videos

  • MOTION OF SYSTEM OF PARTICLES AND RIGID BODIES

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED - III (LONG ANSWER QUESTIONS (5 MARKS))|6 Videos

  • OSCILLATIONS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (IV NUMERICAL PROBLEMS )|10 Videos

Similar Questions

Explore conceptually related problems

The velocity v of a particle at time t is given by v = a t + \frac { b } { t + c } where a, b and c are constant. The dimensions of a, b and c respectively are

The distance covered by a particle in time t is given by x=a+bt+ct^2+dt^3 , find the dimensions of a,b,c and d.

If x=at^(2)+bt+c where x is displacement as a function of time. The dimension of 'a' and 'b' are respectivily ….

If force (F) , velocity (V) and time(T) are taken as fundamental units , then the dimensions of mass are:

If force |F| , velocity |v| and time |T| are taken as to fundamental units then the dimensions of mass are

The velocity of a particle v at a instant t is given by v=at+bt^(2) . The dimension of b is

FULL MARKS-NATURE OF PHYSICAL WORLD AND MEASUREMENT -ADDITIONAL QUESTIONS SOLVED (MULTIPLE CHOICE QUESTIONS)
  1. The dimensional formula for heat capacity..............

    Text Solution

    |

  2. The product of Avogadro constant and elementary charge is known as ......

    Text Solution

    |

  3. Force F is given by F=at+bt^(2). Where ''t'' is time. What are the dim...

    Text Solution

    |

  4. Dimensions of impulse are :

    Text Solution

    |

  5. If speed of light (c), acceleration due to gravity (g) and pressure (P...

    Text Solution

    |

  6. Equivalent of one joule is…………

    Text Solution

    |

  7. Pick out the dimensionless quantity………..

    Text Solution

    |

  8. Odd one out……….

    Text Solution

    |

  9. A wire has a mass 0.3pm 0.003g radius 0.5pm0.005mm and length 6pm 0.06...

    Text Solution

    |

  10. The dimensions of Planck's constant are same as

    Text Solution

    |

  11. Given that y = A sin((2pi)/(lamda) (ct - x)) . Where y and x are measu...

    Text Solution

    |

  12. The number of significant figures in 0.06900 is ..........

    Text Solution

    |

  13. The numbers 3.665 and 3.635 on rounding off to 3 significant figures w...

    Text Solution

    |

  14. Which of the following measurements is most precise?

    Text Solution

    |

  15. The mean radius of a wire is 2 mm. Which of the following measurements...

    Text Solution

    |

  16. If error in measurement of radius of sphere is 1%. What will be the er...

    Text Solution

    |

  17. Dimensions [M L^(-1)T^(-1)] are related to .............

    Text Solution

    |

  18. Heat produced by a current is obtained a relation H = I^(2)RT. If the ...

    Text Solution

    |

  19. Length cannot be measured by ……………

    Text Solution

    |

  20. The pressure on a square plate is measured by measuring the force on t...

    Text Solution

    |