Home
Class 12
PHYSICS
If speed of a particle is given by v=A/C...

If speed of a particle is given by `v=A/C sin (At+B)`, the dimension of C is

A

L

B

`L^(-1)`

C

`LT^(-1)`

D

`L^(-1)T`

Text Solution

Verified by Experts

The correct Answer is:
B
`[V]=LT^(-1) =[A/C] " " [A]T=1`
`[A]T=1 , [A]=T^(-1)`
`[T^(-1)]=([A])/([C]C)=(T^(-1))/([C])rArr [C]=L^(-1)`
Promotional Banner

Topper's Solved these Questions

  • TEST PAPERS

    BANSAL|Exercise PHYSICS PART (A)|32 Videos

  • TEST PAPERS

    BANSAL|Exercise PHYSICS PART (B)|3 Videos

  • TEST PAPERS

    BANSAL|Exercise PHYSICS PART- C|4 Videos

  • SEMICONDUCTORS

    BANSAL|Exercise CBSE Question|32 Videos

Similar Questions

Explore conceptually related problems

(a) the displacement of a particle is given by s - a sin (omega t = kx) , where t is in second and x is in meter. Find the dimensions of omega and k . (b) The velocity of a praticle is given by v = v_(0) e^(-lambda t) , where t is time. Find the dimensions of v_(0) and lambda .

Find the average speed of a particle whose velocity is given by v=v sin omegat where T=2pi//omega is the time of complete cycle

The maximum speed of a particle in SHM is given by mA=V_(m) . The average speed of the particle in terms of maximum speed is given by

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.

The linear momentum p of a particle is given as a function of time t as p=At^2+Bt+C .The dimensions of constant B are

If the speed v of a particle of mass m as function of time t is given by v=omegaAsin[(sqrt(k)/(m))t] , where A has dimension of length.

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 :-

BANSAL-TEST PAPERS-PHYSICS
  1. Each of four particles moves along an x axis. Their coordinates (in me...

    Text Solution

    |

  2. A particle of mass m moving along a straight line is acted on by a ret...

    Text Solution

    |

  3. If speed of a particle is given by v=A/C sin (At+B), the dimension of ...

    Text Solution

    |

  4. If the resultant of two equal forces inclined at 60^(@) to each other ...

    Text Solution

    |

  5. The angle between the vector -hati+hatj and 2 hati+3hatj is :

    Text Solution

    |

  6. In the pulley system shown here, find the relationship between acceler...

    Text Solution

    |

  7. In the figure shown all pulleys are ideal and small. The central pulle...

    Text Solution

    |

  8. Find the acceleration of each block

    Text Solution

    |

  9. When number having uncertainties or errors are used to compute other n...

    Text Solution

    |

  10. When number having uncertainties or errors are used to compute other n...

    Text Solution

    |

  11. When number having uncertainties or errors are used to compute other n...

    Text Solution

    |

  12. Two solid sphres of density rho each and R and 2R are hung from a spri...

    Text Solution

    |

  13. In the figures shown, 1 kg block is stationary while 2 kg block is bei...

    Text Solution

    |

  14. The position of a particle moving on a straight line depends on time t...

    Text Solution

    |

  15. The angular acceleration of a fan alpha=(-3t^(2))/2. At the initial mo...

    Text Solution

    |

  16. Match the column

    Text Solution

    |

  17. Figure shows a man of mass 48 kg standing on a light weighing machine ...

    Text Solution

    |

  18. The acceleration of particle at position x is given by a=3-2x. If the ...

    Text Solution

    |

  19. The velocity vector of a body is given by vec(v)=2hati+(3-6t)hatj m//s...

    Text Solution

    |

  20. In the situation shown, the tension in the string is 22N. What is m (i...

    Text Solution

    |