Home
Class 12
PHYSICS
Consider the equation F=(a^(2))/(b)e^(-(...

Consider the equation `F=(a^(2))/(b)e^(-(bx)/(E ))` where F is force x is distance E is energy and a, b are constants. What are the dimensions of a and b?

Text Solution

AI Generated Solution

To find the dimensions of constants \( a \) and \( b \) in the equation \[ F = \frac{a^2}{b} e^{-\frac{bx}{E}} \] where \( F \) is force, \( x \) is distance, and \( E \) is energy, we will follow these steps: ...
Promotional Banner

Topper's Solved these Questions

  • UNITS, MEASUREMENTS & ERRORS

    VMC MODULES ENGLISH|Exercise SOLVED EXAMPLES|20 Videos
  • UNITS, MEASUREMENTS & ERRORS

    VMC MODULES ENGLISH|Exercise PRACTICE EXERCISE - 1|11 Videos
  • UNITS, MEASUREMENTS & ERRORS

    VMC MODULES ENGLISH|Exercise Impeccable|51 Videos
  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    VMC MODULES ENGLISH|Exercise IMPECCABLE|56 Videos
  • WAVE MOTION

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ARCHIVE LEVEL 2 (TRUE FALSE TYPE)|4 Videos

Similar Questions

Explore conceptually related problems

A force F is given by F = at + bt^(2) , where t is time . What are the dimensions of a and b ?

A force F is given by F = at + bt^(2) , where t is time . What are the dimensions of a and b ?

The dimensions of a/b in the equation P=(a-t^(2))/(bx) where P is pressure, x is distance and t is time are

Find the dimensions of a/b in the relation F=a sqrt(x)+"bt"^(2) , where F is force, x is distance and t is time.

If I is moment of inertia, F is force, v is velocity, E is energy and L is length then, dimension of (IFv^2/(EL^4)) will be:

If I is moment of inertia, F is force, v is velocity, E is energy and L is length then, dimension of (IFv^2/(EL^4)) will be:

If force F is related with distance x and time t as F=Asqrtx+Bt^(2), the dimensions of (A)/(B) is

Find the differential equation corresponding to y=a e^(2x)+b e^(-3x)+c e^x where a ,\ b ,\ c are arbitrary constants.

Write the dimensions of a xx b in the relation E = ( b - x^(2))/( at) , where E is the energy , x is the displacement , and t is the time.

Find the differential equation of the family of curves y=A e^(2x)+B e^(-2x) , where A and B are arbitrary constants.

VMC MODULES ENGLISH-UNITS, MEASUREMENTS & ERRORS-Illustration
  1. The dimensional formula for Planck's constant (h) is

    Text Solution

    |

  2. The velocity of sound in a gas depends on its pressure and density . O...

    Text Solution

    |

  3. In a new system of units, unit of mass is taken as 50 kg. unit of leng...

    Text Solution

    |

  4. The period P of a simple pendulum is the time for one complete swing. ...

    Text Solution

    |

  5. The van der Waal's equation of state for some gases can be expressed a...

    Text Solution

    |

  6. If the energy ( E) ,velocity (v) and force (F) be taken as fundamental...

    Text Solution

    |

  7. Consider the equation F=(a^(2))/(b)e^(-(bx)/(E )) where F is force x i...

    Text Solution

    |

  8. A screw gauge has main scale divisions of 1 mm each and its circular s...

    Text Solution

    |

  9. If mass of an object measured is 4.237 gm (four significant figure) an...

    Text Solution

    |

  10. The sum of the numbers 436.32, 227.2 and 0.301 in appropriate signific...

    Text Solution

    |

  11. Round off the following numbers to three significant digits (a) 14.7...

    Text Solution

    |

  12. Round off the following numbers to three significant digits (b) 14.7...

    Text Solution

    |

  13. Round off the following numbers to three significant digits (c ) 14....

    Text Solution

    |

  14. The original length of wire is (153.7 pm 0.6) cm. It is streched to (1...

    Text Solution

    |

  15. The measures of the lengths of a rectangle are l=(3.00 pm 0.01)cm and ...

    Text Solution

    |

  16. The change in the velocity of a body is (12.5pm 0.2)m//s in a time (5....

    Text Solution

    |

  17. The heat dissipated in a resistance can be obtained by the measurement...

    Text Solution

    |

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

    Text Solution

    |

  19. The diameter of a wire as measured by a Screw gauge was found to be 1....

    Text Solution

    |

  20. The period of oscillation of a simple pendulum is T = 2 pi sqrt((L)/(g...

    Text Solution

    |