Home
Class 11
PHYSICS
The time dependence of a physical quanti...

The time dependence of a physical quantity `P` is given by `P = P_(0)e^(-alpha t^(2))` , where `alpha` is a constant and `t` is time . Then constant `alpha` is//has

A

is dimensionless

B

has dimensions of `T^(-2)`

C

has dimensions of P

D

has dimensions of `T^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B

`alphat^2 = M^0 L^0 T^0`
Promotional Banner

Topper's Solved these Questions

  • UNITS AND MEASUREMENTS

    NARAYNA|Exercise EXERCISE-III|21 Videos
  • UNITS AND MEASUREMENTS

    NARAYNA|Exercise EXERCISE-IV|21 Videos
  • UNITS AND MEASUREMENTS

    NARAYNA|Exercise EXERCISE -II (C.W)|28 Videos
  • TRANSMISSION OF HEAT

    NARAYNA|Exercise LEVEL-II(C.W)|27 Videos
  • VECTORS

    NARAYNA|Exercise LEVEL-II (H.W)|14 Videos

Similar Questions

Explore conceptually related problems

The time dependence of a physical quantity P is given by P=P_(0) exp (-alpha t^(2)) , where alpha is a constant and t is time. The constant alpha

The time dependence of a physical quantity P is given by P= P_0 exp (-alpha t^(2)) , where alpha is a constant and t is time. The constant alpha

Time dependence of a physical quantity P is given by P =P_0 exp(-alpha t^2), where alpha is a constant and t is time. The constant alpha is

The time dependance of a physical quantity 'P' is given by P=P_(0)exp(-at^(2)) , where a is a constant and 't' is time . The constant a is

A physical quantity Q is given by Q=Q_(0)e^(-alphat^(2)) where t is the time and alpha is a constant. What is the dimensional formula for alpha ?

The time dependence of a physical quantity P is given by P=P_0 exp(prop t^2) , where prop is constant prop is represented as [M^0 L^x T^(-2)] . Find x

The position of a particle at time t, is given by the equation, x(t) = (v_(0))/(alpha)(1-e^(-alpha t)) , where v_(0) is a constant and alpha gt 0 . The dimensions of v_(0) & alpha are respectively.

The function f is given by f = A sin alpha x + B cos beta t , where x is displacement and t is the time. The dimensions of alpha//beta is

NARAYNA-UNITS AND MEASUREMENTS-EXERCISE-II (H.W)
  1. The sides of a rectangle are (10.5 +- 0.2) cm and ( 5.2 +- 0.1 ) cm. C...

    Text Solution

    |

  2. If the ratio of fundamental units in two systems are 2:3 the ratio of...

    Text Solution

    |

  3. If L, R , C , and V, respectively , represent inductance , resistance ...

    Text Solution

    |

  4. Hydrostatic pressure 'P' varies with displacement 'x' as P = (A)/(B)lo...

    Text Solution

    |

  5. The units of force, velocity and energy are 100 "dyne", 10 cm s^(-1) ...

    Text Solution

    |

  6. The ratio of SI unit to CGS unti of gravitational constant of

    Text Solution

    |

  7. The frequency f of vibrations of a mass m suspended from a spring of s...

    Text Solution

    |

  8. If the period 'T' of a drop under surface tension 's' is given by T =...

    Text Solution

    |

  9. If the velocity (V) , acceleration (A) , and force (F) are taken as fu...

    Text Solution

    |

  10. The time dependence of a physical quantity P is given by P = P(0)e^(-a...

    Text Solution

    |

  11. The value fo x in the formula Y = (2mg l^(x))/(5bt^(3)e) where m is th...

    Text Solution

    |

  12. The velocity of sound in air (V) pressure (P) and density of air (d)...

    Text Solution

    |

  13. Text Solution

    |

  14. There are four scales, whose specification are given in column -I and ...

    Text Solution

    |

  15. Using signification figures, match the following

    Text Solution

    |

  16. Match List I with List II and select the correct answer using the code...

    Text Solution

    |

  17. Some physical constants are given in List -I and their dimensional for...

    Text Solution

    |

  18. Names of units of some physical quantities are given in List-I and the...

    Text Solution

    |

  19. Match List I with List II and select the correct answer using the code...

    Text Solution

    |

  20. Match List I with List II and select the correct answer using the code...

    Text Solution

    |