Home
Class 11
PHYSICS
Position of a body with acceleration a i...

Position of a body with acceleration `a` is given by `x=Ka^mt^n`, here t is time Find demension of m and n.

A

`m = 1, n = 1`

B

`m = 1, n = 2`

C

`m = 2, n = 1`

D

`m = 2, n = 2`

Text Solution

Verified by Experts

The correct Answer is:
b
As `x = ka^(m)xx t^(n)`
`[M^(0)L^(1)T^(0)] = [LT^(-2)]^(m)[T^(n)]= L^(m)T^(-2m+n)`
`:. M = 1` and `-2m + n = 00 rArr n = 2`
Promotional Banner

Topper's Solved these Questions

  • UNIT, DIMENSION AND ERROR ANALYSIS

    A2Z|Exercise Significant Figures|14 Videos

  • UNIT, DIMENSION AND ERROR ANALYSIS

    A2Z|Exercise Erros Of Measurement|31 Videos

  • UNIT, DIMENSION AND ERROR ANALYSIS

    A2Z|Exercise Chapter Test|28 Videos

  • THERMAL PROPERTIES OF MATTER

    A2Z|Exercise Chapter Test|30 Videos

  • VECTORS

    A2Z|Exercise Chapter Test|29 Videos

Similar Questions

Explore conceptually related problems

Position of a body with acceletation a is given box x=ka^(m)t^(n) , where t is time and k is numeric constant. Find the value of m.

Completion type Question : The position of a body with respect to time is given by x = 2t^(3) - 6t^(2) + 92t + 6 . If x is in metres and t in seconds, then acceleration at t = 0 is

The position of a body with respect to time is given by x = 4t^(3) – 6t^(2) + 20 t + 12 . Acceleration at t = 0 will be-

The position of the particle moving along x-axis is given by x=2t-3t^(2)+t^(3) where x is in mt and t is in second.The velocity of the particle at t=2sec is

The position of a particle moving in a straight line is given by x=3t^(3)-18t^(2)+36t Here, x is in m and t in second. Then

The position of a particle is given by the equation f(t)=t^(3)-6t^(2)+9t where t is measured in second and s in meter. Find the acceleration at time t. What is the acceleration at 4 s?

A particle is moving with an acceleration given by, a=-cos t ; where time t is in seconds and a is in m/s ^(2) . It is given that at t=0, u=0 and x=1 .Find distance travelled by particle from pi to 2 pi .

A particle moves such that its acceleration is given by a =- beta (x-2) Here beta is positive constant and x is the position form origin. Time period of oscillation is

A particle moves such that its acceleration is given by a = -Beta(x-2) Here, Beta is a positive constnt and x the x-coordinate with respect to the origin. Time period of oscillation is

[" If position of particle moving in straight line is "],[" given by "x=(t^(3)-2t+10)m" ,where t is time in "],[" second,then acceleration of particle at "t=1],[" sec is "......]

A2Z-UNIT, DIMENSION AND ERROR ANALYSIS-Concept Of Dimensional Formula
  1. Write the dimensions of a//b in the relation P = ( a - t^(2))/( bx) , ...

    Text Solution

    |

  2. If the time period (T)of vibration of a liquid drop depends on surface...

    Text Solution

    |

  3. Position of a body with acceleration a is given by x=Ka^mt^n, here t i...

    Text Solution

    |

  4. Density of a liquid in CGS system is 0.625(g)//(cm^3). What is it's ma...

    Text Solution

    |

  5. The velocity of a body is given by the equation v = (b)/(t) + ct^(2)...

    Text Solution

    |

  6. Of the following quantities , which one has the dimensions different f...

    Text Solution

    |

  7. A sperical body of mass m and radius r is allowed to fall in a medium ...

    Text Solution

    |

  8. Find the dimensional formula of (a) coefficient of viscosity eta ...

    Text Solution

    |

  9. A physical quantity P is given by P = (A^(3) B^(1//2))/( C^(-4) D^(3//...

    Text Solution

    |

  10. If the acceleration due to gravity is 10ms^(-2) and unit of length and...

    Text Solution

    |

  11. A gas bubble, from an exlosion under water, oscillates with a period T...

    Text Solution

    |

  12. Let [epsilon(0)] denote the dimensional formula of the permittivity of...

    Text Solution

    |

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

    Text Solution

    |

  14. If velocity , time and force were chosen as basic quantities , find th...

    Text Solution

    |

  15. If pressure P, velocity V and time T are taken as fundamental physical...

    Text Solution

    |

  16. If velocity v acceleration A and force F are chosen as fundamental qua...

    Text Solution

    |

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

    Text Solution

    |

  18. If energy E, length L, and time T are taken as fundamental quantities ...

    Text Solution

    |

  19. In the formula X = 3YZ^(2),X and Z have dimensions of capacitance and ...

    Text Solution

    |

  20. If L,R, C denote inductance, resistance and capacitance, respectively ...

    Text Solution

    |