Home
Class 12
PHYSICS
If x= at + bt^(2) , where x is the dist...

If ` x= at + bt^(2)` , where `x` is the distance rtravelled by the body in kilometer while `t` is the time in seconds , then find the units of `b`.

A

`(km)/(s)`

B

`km-s`

C

`(km)/(s^2)`

D

`km-s^2`

Text Solution

Verified by Experts

The correct Answer is:
C
`[x]=[bt^2]implies[b]=[(x)/(t^2)]=km/s^2`
Promotional Banner

Topper's Solved these Questions

  • CENGAGE PHYSICS DPP

    CENGAGE PHYSICS|Exercise Fill in the blanks type|26 Videos

  • CENGAGE PHYSICS DPP

    CENGAGE PHYSICS|Exercise Comprehension Type|31 Videos

  • CENGAGE PHYSICS DPP

    CENGAGE PHYSICS|Exercise Multiple Correct Answer Type|54 Videos

  • CAPACITOR AND CAPACITANCE

    CENGAGE PHYSICS|Exercise Integer|5 Videos

  • CENTRE OF MASS CONVERSATION OF MOMENTUM AND COLLISION

    CENGAGE PHYSICS|Exercise Question Bank|38 Videos

Similar Questions

Explore conceptually related problems

If x=at+bt^(2) , where x is the distance travelled by the body in kilometres while t is the time in seconds, then the units of b are

If the distance s travelled by a body in time t is given by s = a/t + bt^2 then the acceleration equals

If x = a + bt + ct^2 , where x is metres and t in seconds, then the unit of a is

If x =2 at -5 bt^2, where x is in metre and t is in seconds, find the dimensions of a//b.

.If x= at +bt^2 where x is in metre and t in hour,what will be the unit of a and b?

If x = at + bt^(2) where x is in meter (m) and t is in hour (hr) then unit of b will be .

The distance covered by a particle in time t is given by x=a+bt+ct^2+dt^3 , find the dimensions of a,b,c and d.

A body o fmass 6 kg moves in a staight line according to the equation x= t^(3)-75t , where x denotes the distance in metre and t the time in second. The force on the body at t=4s is

A plane wave is represented by x=1.2 sin (3 14 t + 12.56 y) Where x and y are distances measured along in x and y direction in meters and t is time in seconds. This wave has

CENGAGE PHYSICS-CENGAGE PHYSICS DPP-Single Correct Answer type
  1. In CGS system the magnitude of the force is 100 dynes. In another syst...

    Text Solution

    |

  2. A physical quantity is measured and the result is expressed as nu wher...

    Text Solution

    |

  3. If x= at + bt^(2) , where x is the distance rtravelled by the body in...

    Text Solution

    |

  4. In S=a+bt+ct^2. S is measured in metres and t in seconds. The unit of ...

    Text Solution

    |

  5. Find out the unit and dimensions of the constants a and b in the van ...

    Text Solution

    |

  6. A watt is

    Text Solution

    |

  7. Experiment shows that two perfectly neutral parallel metal plates sepa...

    Text Solution

    |

  8. Select the pair whose dimensions are same

    Text Solution

    |

  9. Dimensional formula ML^(-1)T^2 does not represent the physical quantit...

    Text Solution

    |

  10. Which pair has the same dimensions?

    Text Solution

    |

  11. The dimensional formul for impulse is same as the dimensional formula ...

    Text Solution

    |

  12. Which of the following is dimensionally correct?

    Text Solution

    |

  13. The equation of state for real gas is given by ((p + (a)/(V^(2))(V - b...

    Text Solution

    |

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

    Text Solution

    |

  15. The quantities A and B are related by the relation A//B = m, where m ...

    Text Solution

    |

  16. The velocity of a freely falling body changes as g^ph^qwhere g is acce...

    Text Solution

    |

  17. Which one of the following does not have tha same dimensions?

    Text Solution

    |

  18. A small steel ball of radius r is allowed to fall under gravity throug...

    Text Solution

    |

  19. An athlletic coach told his team that muscle times speed equals power....

    Text Solution

    |

  20. If P represents radiation pressure , C represents the speed of light ...

    Text Solution

    |