Home
Class 11
PHYSICS
The velocity v of a particle at time t i...

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 :-

A

L,LT and `T^(2)`

B

`LT^(-2)`, L and T

C

`L^(2)`, T and `LT^(3)`

D

`LT^(3), LT and L`

Text Solution

Verified by Experts

The correct Answer is:
b
Promotional Banner

Topper's Solved these Questions

  • MEASUREMENTS

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING (ACCURAY AND ERRORS IN MEASUREMENTS)|18 Videos

  • MEASUREMENTS

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING ( MISCELLANEOUS)|6 Videos

  • MEASUREMENTS

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING (FUNDAMENTAL AND DERIVED UNITS)|14 Videos

  • MAGNETISM

    TARGET PUBLICATION|Exercise MCQs|147 Videos

  • Motion in a plane

    TARGET PUBLICATION|Exercise Exercise|340 Videos

Similar Questions

Explore conceptually related problems

The horizontal distance x and the vertical height y of a projectile at a time t are given by x=at and y=bt^2 +ct where a, b and c are constants The magnitude of the velocity of the projectile 1 second after it is fired is

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

Displacment x of a particle at time t is given by x=At^(2)+Bt+C , where A,B,Care constants .If v is its velocity, then : 4Ax-v^(2)=

A particle of charge q moves with a velocity vecv = ahati in a magnetic field of vecB = b hatj + c hatk where a ,b and c are constants. The magnetic of the force experienced by the particle is

When a wave travels in a medium, the particle displacement is given by the equation y = alpha sin 2pi(bt -cx) where a, b and c are constants. The maximum particle velocity will be twice the wave velocity if

If the velocity of a particle is v = At + Bt^2 . where A and B are constants, then the distance travelled by it between 1 s and 2 s is

The displacement s of a particle at time t is is given by s=2 t^3 - 4 t^2 -5t. Then find the velocity at t=2 sec

The displacement s of a particle at time t is given by s = t^3 -4 t^2 -5t. Find the velocity and acceleration at t=2 sec

The equation of the state of some gases can be expressed as (P +(a)/(V^(2))(V-b)=RT . Here P is the pressure, V is the volume, T is the absolute temperature and a, b, R are constants. The dimensions of (a)/(b) are

In a car race, car A takes a time of t s less than car B at the finish and passes the finishing point with a velocity v m/s more than the car B. Assuming that the cars start from rest and travel with constant acceleration a_1 and a_2 respectively, velocity v is given by

TARGET PUBLICATION-MEASUREMENTS-COMPETITIVE THINKING ( DIMENSIONAL ANALYSIS)
  1. Dimensional formula of magnetic flux is

    Text Solution

    |

  2. The dimensional formula of mobility is .

    Text Solution

    |

  3. Dimensions of solar constant are

    Text Solution

    |

  4. The velocity v of a particle at time t is given by v=at+b/(t+c), where...

    Text Solution

    |

  5. If E,M,J and G respectively denote energy , mass angular momentum ...

    Text Solution

    |

  6. The function f is given by f = A sin alpha x + B cos beta t, where x i...

    Text Solution

    |

  7. X=3YZ^(2) find dimension of Y in (MKSA) system, if X and Z are the dim...

    Text Solution

    |

  8. Plank 's constant (h) speed of light in vacuum (C) and newton 's grav...

    Text Solution

    |

  9. A spherical liquid drop is placed on a horizontal plane . A sma...

    Text Solution

    |

  10. A physical energy of the dimension of length that can be formula cut o...

    Text Solution

    |

  11. In the relation, P=alpha/beta e^((alphaZ)/(ktheta))P is pressure, Z is...

    Text Solution

    |

  12. The number of significant figure in 0.002305 is

    Text Solution

    |

  13. The respective number of signficant figures for the numbers 23.023, 0...

    Text Solution

    |

  14. In a experiment the angle are required to be measured using an ...

    Text Solution

    |

  15. A vernier calipers has 1mm marks on the main scale. It has 20 equal di...

    Text Solution

    |

  16. The diameter of a cylinder is measured using a Vernier callipers with...

    Text Solution

    |

  17. A student measured the length of a rod and wrote it as 3.50 cm. Which ...

    Text Solution

    |

  18. In a vernier callipers, one main scale division is x cm and n division...

    Text Solution

    |

  19. A screw gauge gives the following reading when used to mesure the diam...

    Text Solution

    |

  20. A spectrometer gives the following reading when used to measure the an...

    Text Solution

    |