Home
Class 12
PHYSICS
An unknown quantity ''alpha'' is express...

An unknown quantity `''alpha''` is expressed as `alpha = (2ma)/(beta) log(1+(2betal)/(ma))` where m = mass, a = acceleration `l` = length, The unit of `alpha` should be

A

meter

B

m/s

C

`m//s^(2)`

D

`s^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
A
`[a]=[(ma)/(beta)]`
`[(beta)/(ma)][l]=M^(0)L^(0)T^(0)rArr[(ma)/(beta)] = [alpha]=[l] = L`
Promotional Banner

Topper's Solved these Questions

  • DAILY PRACTICE PROBLEM

    RESONANCE|Exercise DPP No.70|9 Videos

  • DAILY PRACTICE PROBLEM

    RESONANCE|Exercise DPP No.71|10 Videos

  • DAILY PRACTICE PROBLEM

    RESONANCE|Exercise DPP No.68|9 Videos

  • CURRENT ELECTRICITY

    RESONANCE|Exercise High Level Problems (HIP)|21 Videos

  • ELECTRO MAGNETIC WAVES

    RESONANCE|Exercise Exercise 3|27 Videos

Similar Questions

Explore conceptually related problems

Dimensions of an unknown quantity , phi = (ma)/(alpha) log (1 +(alpha l)/(ma)) where m = mass, a= acceleration and l = "length" are

In a book, the answer for a particular question is expressed as b=(ma)/(k)[sqrt(1+(2kl)/(ma))] here m represents mass, a represent acceleration, l represent length. The unit of b should be :-

If sin (alpha - beta) =1/2 and cos (alpha + beta) =1/2, where alpha and beta are positive acute angles, then alpha and beta are

If tan alpha=(m)/(m+1) and tan beta=(1)/(2m+1) then alpha+beta is equal to

If tan(alpha-beta)=1, sec(alpha+beta)=2/(sqrt(3) and alpha, beta are positive then the smallest value of alpha is

The angles alpha and beta are such that tan alpha=m+2. and tan beta=m where m is a constant.If sec^(2)alpha-sec^(2)beta=16 then the value of cot(alpha-beta) is equal to

The angles alpha and beta are such that tan alpha=m+2 and tan beta=m where m is a constant.If sec^(2)alpha-sec^(2)beta=16 then the value of cot(alpha-beta) is equal to

Let 2 alpha^(2)+6 alpha beta+5 beta^(2)=1, where alpha,beta in R then the maximum value of (2 alpha^(2)-1) is

If sin (alpha + beta)=1, sin (alpha- beta)= (1)/(2) , then tan (alpha + 2beta) tan (2alpha + beta) =

RESONANCE-DAILY PRACTICE PROBLEM-DPP No.69
  1. Two waves of same frequency but of amplitude a and 2a respectively sup...

    Text Solution

    |

  2. A stone is released at rest from a height of 45 m above the horizontal...

    Text Solution

    |

  3. A uniform rod of mass m length l is attached to smooth hinge at end A ...

    Text Solution

    |

  4. Consider a U-shaped frame with a sliding wire of length l and mass 'm'...

    Text Solution

    |

  5. A block of mass m = 3kg resting on a horizontal frictionless flooe is ...

    Text Solution

    |

  6. Tuning fork A and B produce 4 beats when sounded together. When they a...

    Text Solution

    |

  7. A string of length 1.5 m with its two ends clamped is vibrating in fun...

    Text Solution

    |

  8. A car fitted with a device which transmits sound 60 times per minute. ...

    Text Solution

    |

  9. The the resonance tube experiment first resonant length is l(1) and t...

    Text Solution

    |

  10. Following diagram performs the logic function of-

    Text Solution

    |

  11. From a uniform square plate the shaped portions are removed as shown i...

    Text Solution

    |

  12. The direction of the field B at P is

    Text Solution

    |

  13. A transparent cylinder has its right half polished so as to act as a m...

    Text Solution

    |

  14. A tuning fork of frequency 340 Hz is excited and held above a cylindri...

    Text Solution

    |

  15. One mole of an ideal gas at temperature T expands slowly according to ...

    Text Solution

    |

  16. The circuit has two oppositively connected ideal diodes in parallel wh...

    Text Solution

    |

  17. A flexible chain of weight W hangs between two fixed points A and B at...

    Text Solution

    |

  18. Potential difference between points A and B (i.e. V(A) - V(B)) is ----...

    Text Solution

    |

  19. An unknown quantity ''alpha'' is expressed as alpha = (2ma)/(beta) log...

    Text Solution

    |

  20. A wire of density 9xx10^3 kg//m^3 is stretched between two clamps 1 m ...

    Text Solution

    |