Home
Class 12
PHYSICS
The unit of 1//lsqrt((T//mu)) is the sam...

The unit of `1//lsqrt((T//mu)`) is the same as that of (`l`-length, `T`-tension and `mu`-mass/unit length)

A

Frequency

B

Time period

C

Wave-length

D

Wave number

Text Solution

Verified by Experts

The correct Answer is:
A

`1/l sqrt(T/m) = 1/([L]) sqrt((MLT^(-2))/(ML^(-1))) `
`= 1/([L]) [LT^(-1)] = 1/T `= [Frequency]
Promotional Banner

Topper's Solved these Questions

  • UNITS AND MEASUREMENTS

    PHYSICS WALLAH|Exercise NEET PAST 5 YEARS QUESTIONS |10 Videos
  • UNITS AND MEASUREMENTS

    PHYSICS WALLAH|Exercise NEET PAST 5 YEARS QUESTIONS |10 Videos
  • THERMODYNAMICS

    PHYSICS WALLAH|Exercise NEET Past 5 Years Questions|14 Videos
  • WAVE OPTICS

    PHYSICS WALLAH|Exercise Neet Past 5 Years Questions|16 Videos

Similar Questions

Explore conceptually related problems

Chack the correctness of the relations. (i) escape velocity, upsilon = sqrt((2GM)/(R )) (ii) v =(1)/(2l) sqrt((T)/(m)) , where l is length, T is tension and m is mass per unit length of the string.

Check the accuracy of the relation v=(1)/(2l)sqert((T)/(m)) ,where v is the frequency, l is legth, T is tension and m is mass per unit legth of the string.

The velocity of transverse wave in a string is v = sqrt( T//m) where T is the tension in the string and m is the mass per unit length . If T = 3.0 kgf , the mass of string is v = 1.000 m , then the percentage error in the measurement of velocity is

Check the dimensional correctness of the following equations : (i) T=Ksqrt((pr^3)/(S)) where p is the density, r is the radius and S is the surface tension and K is a dimensionless constant and T is the time period of oscillation. (ii) n=(1)/(2l)sqrt((T)/(m)) , when n is the frequency of vibration, l is the length of the string, T is the tension in the string and m is the mass per unit length. (iii) d=(mgl^3)/(4bd^(3)Y) , where d is the depression produced in the bar, m is the mass of the bar, g is the accelaration due to gravity, l is the length of the bar, b is its breadth and d is its depth and Y is the Young's modulus of the material of the bar.

Derive an expression for the velocity of pulse in a in stretched in string under a tension T and mu is the mass per unit length of the sting.

The frequency f of vibration of a string between two fixed ends is proportional to L^(a) T^(b) mu^(c ) , where L is the length of string, T is tension in the string and mu is the linear mass density (or mass per unit length) of string. Find the value of a,b and c.

Three pieces of string, each of length L, are joined together end-to-end, to make a combined string of length 3L. The first piece of string has mass per unit length mu_1 , the second piece has mass per unit length mu_2 = 4mu_1 and the third piece has mass per unit length mu_3 = mu_1//4 . (a) If the combined string is under tension F, how much time does it take a transverse wave to travel the entire length 3L? Give your answer in terms of L,F and mu_1 . (b) Does your answer to part (a) depend on the order in which the three piece are joined together? Explain.

A string tied between x = 0 and x = l vibrates in fundamental mode. The amplitude A , tension T and mass per unit length mu is given. Find the total energy of the string.

PHYSICS WALLAH-UNITS AND MEASUREMENTS -LEVEL - 2
  1. A and B are two physical quantities having different dimensions. Then ...

    Text Solution

    |

  2. For 10^((at+3)), the dimension of a is -

    Text Solution

    |

  3. Taking velocity , time and force as the fundamental quantities , find ...

    Text Solution

    |

  4. A physical quantity P is given by P = (A^(3) B^(1//2))/( C^(-4) D^(3//...

    Text Solution

    |

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

    Text Solution

    |

  6. If voltage V=(100pm5) V and current I=(10pm0.2) A, the percentage err...

    Text Solution

    |

  7. In the formula V = E^b d^a, if V , E and d are the velocity of longit...

    Text Solution

    |

  8. If force F, area A and density D are teken as the fundamental units, t...

    Text Solution

    |

  9. If the energy (E), velocity (v) and force (F) are taken as fundamental...

    Text Solution

    |

  10. Velocity of a particle at time t is expressed as follows : v= alpha ...

    Text Solution

    |

  11. The velocity of water wave v may depend on their wavelength lambda, th...

    Text Solution

    |

  12. The dimension of coefficient of viscosity is :

    Text Solution

    |

  13. The unit of 1//lsqrt((T//mu)) is the same as that of (l-length, T-tens...

    Text Solution

    |

  14. If Force=(x/density)+C is dimensionally correct, the dimension of x ar...

    Text Solution

    |

  15. Given : force = (alpha)/("density" + beta^3). What are the dimensions ...

    Text Solution

    |

  16. Test if the following equation is dimensionally correct: h= ((sS cos t...

    Text Solution

    |

  17. Given F = (a//t) + bt^2 where F denotes force and t time. The diamensi...

    Text Solution

    |

  18. Dimensional formula for volume elasticity is

    Text Solution

    |

  19. Which of the following does not have the dimensions of time ?

    Text Solution

    |

  20. Plancks' constant has the dimensions of

    Text Solution

    |