Home
Class 12
PHYSICS
The kinetic energy of a particle moving ...

The kinetic energy of a particle moving along x-axis varies with the distance x of the particle from origin as `K=(A+x^3)/(Bx^(1//4)+C)` .Write the dimensional formula for `A^2B`

Text Solution

Verified by Experts

The correct Answer is:
`[M^(-1)L^(27//4)T^2]`
Promotional Banner

Topper's Solved these Questions

  • UNITS AND MEASUREMENTS

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION J (Aakash Challengers )|8 Videos
  • UNITS AND MEASUREMENTS

    AAKASH INSTITUTE|Exercise EXERCISE|20 Videos
  • UNITS AND MEASUREMENTS

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION H (Multiple True-False)|6 Videos
  • THERMODYNAMICS

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION -D) (Assertion - Reason Type Questions)|10 Videos
  • WAVE OPTICS

    AAKASH INSTITUTE|Exercise Assignment (Section-J (Aakash Challengers question))|1 Videos

Similar Questions

Explore conceptually related problems

Position of particle moving along x-axis is given by x=2t^(3)-4t+3 Initial position of the particle is

The kinetic energy K of a particle moving along x - axis varies with its position (x) as shown in figure The magnitude of force acting on particle at x = 9 mis

Velocity time graphs of particles A and B moving along x -axis are shown here. Both A and B start from origin:

The displacement of a particle moving along x-axis is given by : x = a + bt + ct^2 The acceleration of the particle is.

The kinetic energy K of a particle moving along x - axis varies its position (x) as shown in figure. The magnitude of force acting on particle at x = 9m is

Position of a particle moving along x-axis is given by x=2+8t-4t^(2) . The distance travelled by the particle from t=0 to t=2 is:-

The potential energy of a particle varies with distance x from a fixed origin as U = (A sqrt(x))/( x^(2) + B) , where A and B are dimensional constants , then find the dimensional formula for AB .

Kinetic energy of a particle moving in a straight line varies with time t as K = 4t^(2) . The force acting on the particle

AAKASH INSTITUTE-UNITS AND MEASUREMENTS-ASSIGNMENT SECTION I (Subjective)
  1. Write down the number of significant figures in the following . (A)8...

    Text Solution

    |

  2. Round off to four significant figures (A) 49.687 ,(B) 2.0095

    Text Solution

    |

  3. Find the dimensions of alpha//beta in equation P=(alpha-t^2)/(betax) ...

    Text Solution

    |

  4. A body of mass m is moving in a circle of radius angular velocity ome...

    Text Solution

    |

  5. Each side of a cube is measured to be 7.203 m . What is (i) the total ...

    Text Solution

    |

  6. The temperature of two bodies measured by a thermometer are t1=20^@C ...

    Text Solution

    |

  7. In an experiment the refractive index of glass was observed to be 1.45...

    Text Solution

    |

  8. Find density when a mass of 9.23 kg occupies a volume of 1.1m^3. Take ...

    Text Solution

    |

  9. Solve with due regards to significant figures 4.0 xx (10^-4) - 2.5 x...

    Text Solution

    |

  10. Write the dimensions of a//b in the relation F = a sqrtx + bt^2 where ...

    Text Solution

    |

  11. Time period of an oscillating drop of radius r, density rho and surfac...

    Text Solution

    |

  12. A physical quantity y is given by y=(P^2Q^(3//2))/(R^4S^(1//2)) The ...

    Text Solution

    |

  13. Calculate focal length of a spherical mirror from the following observ...

    Text Solution

    |

  14. The velocity of water wave v may depend on their wavelength lambda, th...

    Text Solution

    |

  15. In an experiment of simple pendulum, time period measured was 50s for ...

    Text Solution

    |

  16. if power P and linear mass density are related as P=alpha/(beta^2+lamb...

    Text Solution

    |

  17. The kinetic energy of a particle moving along x-axis varies with the d...

    Text Solution

    |

  18. P = (nx^(y)T)/(V(0))e^(-(Mgh)/(nxT)), where n is number of moles, P is...

    Text Solution

    |