Home
Class 11
PHYSICS
If the velocity (v) of a body in time 't...

If the velocity `(v)` of a body in time `'t'` is given by `V = AT^(3) + BT^(2) + CT + D` then the dimensionas of `C` are...............

A

`[LT^(-1)]`

B

`[LT^(-2)]`

C

`[LT^(-3)]`

D

`[LT^(-4)]`

Text Solution

Verified by Experts

The correct Answer is:
B

Use of principle of homogentity
Promotional Banner

Topper's Solved these Questions

  • UNITS AND MEASUREMENTS

    NARAYNA|Exercise EXERCISE -II (C.W)|28 Videos
  • UNITS AND MEASUREMENTS

    NARAYNA|Exercise EXERCISE-II (H.W)|28 Videos
  • UNITS AND MEASUREMENTS

    NARAYNA|Exercise EXERCISE -I (C.W)|42 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 velocityof a body is given by the equation v = (b)/(t) + ct^(2) + dt^(3) The dimensional formula of b is

The distnac e (x) covered by a particel in time t is given by x= a + bt -ct^2 +dt^3 . Find the dimesniosn of a,b,c,d.

The velocity v of a particle at time t is given by v=at+b/(t+c) , where a, b and c are constants. The dimensions of a, b, c are respectively :-

The equation of distance travelled by a body s with time t is given as S=A(t+B)+Ct^(2) . The dimension of B is given by

The position of a point in time t is given by x=a+bt-ct^(2),y=at+bt^(2) . Its acceleration at time t is

The position of a point in time t is given by x=a+bt-ct^(2),y=at+bt^(2) . Its acceleration at time t is

NARAYNA-UNITS AND MEASUREMENTS-EXERCISE -I (H.W)
  1. The value fo (9.270)/(41) with due regard to significant figures is.....

    Text Solution

    |

  2. When 57.986 is rounded off to 4 significant figures, then it becomes....

    Text Solution

    |

  3. If 'L' is length of sample pendulum and 'g' is acceleration due to gra...

    Text Solution

    |

  4. The demensional formula for the product of two physical quantites P an...

    Text Solution

    |

  5. The fundamental physical quantites that have same dimesions in the di...

    Text Solution

    |

  6. The eta is rigidity modulus, r is the radius , l is the length and C ...

    Text Solution

    |

  7. The acceleration of an object vareis with time as a = AT^(2) + BT + C ...

    Text Solution

    |

  8. If eta = (A)/(B) log (Bx + C) is dimensionally true, then (here eta is...

    Text Solution

    |

  9. If the velocity (v) of a body in time 't' is given by V = AT^(3) + BT^...

    Text Solution

    |

  10. In the relation V = ( pi)/( 8) ( P r^(4))/( nl) , where the letters ha...

    Text Solution

    |

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

    Text Solution

    |

  12. The magnitude of Energy is 100J What will be its value if the units o...

    Text Solution

    |

  13. If the units of mass and velocity are increased by two times then the ...

    Text Solution

    |

  14. SI unit and CGS unit of quantity does not vary by 10^(7) times, it is ...

    Text Solution

    |

  15. The initial velocity of a particle is given by u^(2) = v^(2) - 2gx whe...

    Text Solution

    |

  16. The eqaction which is dimensionally correct among the following is

    Text Solution

    |

  17. The dimensions of gamma in the relation v = sqrt((gamma p)/(rho)) (whe...

    Text Solution

    |

  18. If frequency F, velocity V , and density D are considered fundamental ...

    Text Solution

    |

  19. If momentum (p), Mass (M), Time (T) are chosen as fundamental quantit...

    Text Solution

    |

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

    Text Solution

    |