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
Promotional Banner

Topper's Solved these Questions

  • TRANSMISSION OF HEAT

    ERRORLESS |Exercise ET Self Evaluation Test|23 Videos

  • VECTORS

    ERRORLESS |Exercise Exercise|223 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 "......]

ERRORLESS -UNITS, DIMENSION & MEASUREMENTS-All Questions
  1. The dimensions of universal gas constant is

    Text Solution

    |

  2. In the relation y=acos(omegat-kx), the dimensional formula for k is

    Text Solution

    |

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

    Text Solution

    |

  4. "Pascal-Second" has dimension of

    Text Solution

    |

  5. In a system of units if force (F), acceleration (A) and time (T) are t...

    Text Solution

    |

  6. Out of the following pair, which one NOT have identical dimensions is

    Text Solution

    |

  7. The ratio of the dimension of Planck's constant and that of moment of ...

    Text Solution

    |

  8. Out of following four dimensional quantities, which one quantity is to...

    Text Solution

    |

  9. Density of a liquid in CGS system is 0.625(g)/(cm^3). What is its magn...

    Text Solution

    |

  10. The period of oscillation of a simple pendulum is given by T=2pisqrt((...

    Text Solution

    |

  11. The percentage errors in the measurement of mass and speed are 2% and ...

    Text Solution

    |

  12. The random error in the arithmetic mean of 100 observations is x, then...

    Text Solution

    |

  13. What is the number of significant figures in 0.310xx10^(-2)

    Text Solution

    |

  14. Errror in the measurement of radius of a sphere is 1% .The error in th...

    Text Solution

    |

  15. The mean time period of second's pendulum is 2.00 s and mean absolute ...

    Text Solution

    |

  16. A body travels uniformly a distance of ( 13.8 +- 0.2) m in a time (4.0...

    Text Solution

    |

  17. The unit of percentage error is

    Text Solution

    |

  18. The decimal equivalent of (1)/(20) up to three significant figures is

    Text Solution

    |

  19. Accuracy of measurement is determined by

    Text Solution

    |

  20. The radius of a sphere is (5.3 +- 0.1)cm The perecentage error in its ...

    Text Solution

    |