Home
Class 11
PHYSICS
यदि बल (F), लम्बाई (L) तथा समय (T) को मू...

यदि बल (F), लम्बाई (L) तथा समय (T) को मूलभूत राशि माना जाए, तो द्रव्यमान का विमीय सूत्र होगा

A

`FL^(-1) T^2`

B

`FL^(-1) T^(-2)`

C

`FL^(-1) T^(-1)`

D

`FL^(2) T^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
`m prop F^(a) L^(b) T^(c) implies m prop FL^(-1)T^2`
`[M] = [MLT^(-2)]^(a)[L]^(b)[T]^c =[M^(a) L^(a+b)T^(-2a+c)]`
`a = 1, a +b = 0 implies b = -1`
`-2 a +c =0 implies c =2`
Promotional Banner

Topper's Solved these Questions

  • UNITS, DIMENSIONS AND MEASUREMENT

    ERRORLESS|Exercise NCERT BASED QUESTIONS (Errors of Measurement)|35 Videos

  • UNITS, DIMENSIONS AND MEASUREMENT

    ERRORLESS|Exercise PAST YEARS QUESTIONS |24 Videos

  • UNITS, DIMENSIONS AND MEASUREMENT

    ERRORLESS|Exercise ASSERTION & REASON |17 Videos

  • TRANSMISSION OF HEAT

    ERRORLESS|Exercise Assertion & Reason|22 Videos

  • WAVES AND SOUND

    ERRORLESS|Exercise ASSERTION & REASON |25 Videos

Similar Questions

Explore conceptually related problems

If sign ‘+’ is interchanged with ‘ div ′ and number ‘2’ is interchanged with ‘6’, which of the following equations would be correct? यदि चिन्ह ‘+’ को ‘ div ′ के साथ बदल दिया जाए तथा संख्या 2 को 6 के साथ बदल दिया जाए, तो निम्न में से कौन सा समीकरण सही होगा ?

The average of n number is 36. If each of 75% of the numbers is increased by 6 and each of the remaining numbers is decreased by 9, then the new average of the numbers is: n संख्याओं का औसत 36 है | यदि इन संख्याओं के 75% में से प्रत्येक को 6 से बढ़ा दिया जाए और प्रत्येक शेष संख्या को 9 से कम कर दिया जाए, तो इन संख्याओं का नया औसत क्या होगा ?

The average of five consecutive even numbers is M. If the next five even numbers are also included, the average of ten numbers will be: पाँच लगातार सम संख्याओं का औसत M है | यदि अगली पाँच सम संख्याओं को भी शामिल कर लिय जाए, तो दस संख्याओं का औसत कितना होगा ?

In the following equation ‘+’ is interchanged with ‘-’ and ‘6’ is interchanged with ‘7’ , then which equation will be correct? दिए गए प्रश्न में यदि ‘+’ को ‘-’ से तथा ‘6’ को ‘7’ से बदल दिया जाए, तो निम्न में से कौन सा समीकरण सही होगा ?

A person sold an article at a loss of 12%. Had he sold it for Rs. 162 more, he would have gained 24%. If the article is sold for Rs. 360 then loss percent is : एक व्यक्ति ने को वस्तु 12% की हानि पर बेची | यदि उसने इसे 162 रुपये अधिक में बेचा होता, तो उसे 24% लाभ हुआ होता | यदि इस वस्तु को 360 रुपये में बेचा जाए, तो हानि का प्रतिशत क्या होगा ?

If the two signs, ‘ xx and div ‘ are interchanged, which of the following will be correct? यदि दो चिन्ह ‘ xx और div ‘ को आपस में बदल दिया जाए, तो निम्न में से कौन सा समीकरण सही होगा ?

When an article is sold for Rs 291, there is a loss of 3%. What will be the selling price of the article, if it is sold at a gain of 8%? जब किसी वस्तु को 291 रुपये में बेचा जाता है, तो 3% की हानि होती है | यदि इसे 8% लाभ पर बेचा जाए, तो इस वस्तु का विक्रय मूल्य क्या होगा ?

The average of five consecutive odd numbers is m. If the next three odd numbers are also included, then what is the increase in the average? पाँच लगातार विषम संख्याओं का औसत m है | यदि अगली तीन विषम संख्याओं को भी शामिल कर लिया जाए, तो औसत में कितनी वृद्धि होगी ?

The average of 21 numbers is 44. The average of first 11 numbers is 48 and that of last 11 numbers is 42. If 11th number is excluded, what is the average of the remaining numbers? 21 संख्याओं का औसत 44 है | पहली 11 संख्याओं का औसत 48 तथा अंतिम 11 संख्याओं का औसत 42 है| यदि 11वीं संख्या को हटा दिया जाए, तो शेष संख्याओं का औसत क्या होगा ?

ERRORLESS-UNITS, DIMENSIONS AND MEASUREMENT-NCERT BASED QUESTIONS (Dimensions)
  1. वांडरवाल्स गैस समीकरण (P+(a)/(V^(2))) (V-b) = RT में P, V व T क्रमश: द...

    Text Solution

    |

  2. The dimensions of e^(2)//4pi epsilon(0)hc, where e, epsilon(0),h and ...

    Text Solution

    |

  3. The dimensional formula for Boltzmann's constant is

    Text Solution

    |

  4. Frequency is the function of density (rho) , length (a) and surface te...

    Text Solution

    |

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

    Text Solution

    |

  6. Experiments reveal that the velocity v of water waves may depend on th...

    Text Solution

    |

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

    Text Solution

    |

  8. In a system of units if force (F), acceleration (A) and time (T) are t...

    Text Solution

    |

  9. If the time period (T)of vibration of a liquid drop depends on surface...

    Text Solution

    |

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

    Text Solution

    |

  11. If the velocity of light (c) , gravitational constant (G) and Planck's...

    Text Solution

    |

  12. यदि बल (F), लम्बाई (L) तथा समय (T) को मूलभूत राशि माना जाए, तो द्रव्यम...

    Text Solution

    |

  13. Position of a body with acceleration a is given by x=Ka^mt^n, here t i...

    Text Solution

    |

  14. A dimensionally consistent relation for the volume V of a liquid of co...

    Text Solution

    |

  15. A plane electromagnetic wave propagating along y-direction can have th...

    Text Solution

    |

  16. A liquid drop placed on a horizontal plane has a near spherical shape ...

    Text Solution

    |

  17. The dimensions of Stefan-Boltzman constant sigma can be written in ter...

    Text Solution

    |

  18. The dimensions of the area A of a black hole can be written in terms o...

    Text Solution

    |

  19. If momentum (p), area (A) and time(t) are taken to be fundamental quan...

    Text Solution

    |

  20. Consider the following equation of Bernoulli's theorem. P + (1)/(2) ...

    Text Solution

    |