Home
Class 12
PHYSICS
The variation of lengths of two moles ro...

The variation of lengths of two moles rods `A` and `B` with change in temperature is shown in figure . The ratio of `(alpha_(a))/(alpha_(B))` is :-

A

`(3)/(2)`

B

`(2)/(3)`

C

`(4)/(3)`

D

`(3)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
B
` l= l_(0) (1+alphaDeltaT) implies l-l_(0) = l_(0)alphaDeltaT`
`implies (l_(0)alpha_(A)DeltaT)/(l_(0)alpha_(B)DeltaT) = (104-100)/(106-100) = (4)/(6) implies (alpha_(A))/(alpha_(B)) = (2)/(3)`
Promotional Banner

Topper's Solved these Questions

  • GEOMETRICAL OPTICS

    ALLEN|Exercise EXERCISE -02|82 Videos

  • GEOMETRICAL OPTICS

    ALLEN|Exercise EXERCISE -03|10 Videos

  • GEOMETRICAL OPTICS

    ALLEN|Exercise SOME WORKED OUT EXAMPLES|83 Videos

  • CURRENT ELECTRICITY

    ALLEN|Exercise EX.II|66 Videos

  • GRAVITATION

    ALLEN|Exercise EXERCISE 4|9 Videos

Similar Questions

Explore conceptually related problems

The variation of length of two metal rods A and B with change in temperature is shown in Fig. the coefficient of linear expansion alpha_A for the metal A and the temperature T will be

The variation of length of two metal rods A and B with change in temperature is shown in Fig. the coefficient of linear expansion alpha_A for the metal A and the temperature T will be? ( alpha_(A)=3x10^(-6)/ C )

Two different rods A and B are kept as shown in figure . The variation of temperature of different cross sections with distance is plotted in a graph shown in figure . The ration of thermal conductivities of A and B is -

The displacement time graphs of two bodies A and B are shown in figure. The ratio of velocity of A to velocity of B, v_(A)//v_(B) is:

An isosceles triangles is formed with a thin rod of length l_(1) and coefficient of linear expansion alpha_(1) , as the base and two thin rods each of length l_(2) and coefficient of linear expansion alpha_(2) as the two sides. The distance between the apex and the midpoint of the base remain unchanged as the temperature is varied. the ratio of lengths (l_(1))/(l_(2)) is

An isosceles triangles is formed with a thin rod of length l_(1) and coefficient of linear expansion alpha_(1) , as the base and two thin rods each of length l_(2) and coefficient of linear expansion alpha_(2) as the two sides. The distance between the apex and the midpoint of the base remain unchanged as the temperature is varied. the ratio of lengths (l_(1))/(l_(2)) is

An isosceles triangles is formed with a thin rod of length l_(1) and coefficient of linear expansion alpha_(1) , as the base and two thin rods each of length l_(2) and coefficient of linear expansion alpha_(2) as the two sides. The distance between the apex and the midpoint of the base remain unchanged as the temperature is varied. the ratio of lengths (l_(1))/(l_(2)) is

Consider three rods of length L_(1), L_(2) and L_(3) espectively joined in series. Each has same cross - sectional area with Young's moduli Y, 2Y and 3Y respectively and thermal coefficients of linear expansion alpha, 2alpha and 3 alpha respectively. They are placed between two rigid fixed walls. The temperature of the whole system is increased and it is found that length of the middle rod does not change with temperature rise. Find the value of (9L_(1))/(L_(3)) .

The variation of vapour pressure of different liquids with temperature is shown in figure Calculate graphically boiling points of liquids A and B.

The length of two metallic rods at temperatures theta are L_(A) and L_(B) and their linear coefficient of expansion are alpha_(A) and alpha_(B) respectively. If the difference in their lengths is to remian constant at any temperature then

ALLEN-GEOMETRICAL OPTICS-EXERCISE -01
  1. A steel rod of length 1 m is heated from 25^@ "to" 75^@ C keeping its ...

    Text Solution

    |

  2. A brass disc fits in a hole in a steel plate. Would you heat or cool t...

    Text Solution

    |

  3. The variation of lengths of two moles rods A and B with change in temp...

    Text Solution

    |

  4. A steel tape placed around the earth at the equator when the temperatu...

    Text Solution

    |

  5. Bars of two different metals are bolted together , as shown in figure....

    Text Solution

    |

  6. A metal rod A of length l(0) expands by Deltal when its temperature is...

    Text Solution

    |

  7. The coefficient of linear expansion 'alpha' of a rod of length 2 m var...

    Text Solution

    |

  8. The coefficient of linear expansion 'alpha' of the material of a rod o...

    Text Solution

    |

  9. A clock with a metallic pendulum gains 6 seconds each day when the tem...

    Text Solution

    |

  10. A steel scale measures the length of a copper rod as l(0) when both ar...

    Text Solution

    |

  11. The coefficient of apparent expansion of a liquid when determined usin...

    Text Solution

    |

  12. Three rods of the same dimensions have thermal conductivities 3k , 2k ...

    Text Solution

    |

  13. A cup of tea cools from 80^(@)C" to "60^(@)C in 40 seconds. The ambien...

    Text Solution

    |

  14. Ice starts forming in a lake where the water is at 0^(@)C and the ambi...

    Text Solution

    |

  15. There is a small hole in a container. At what temperature should it be...

    Text Solution

    |

  16. A surface at temperature T(0)K receives power P by radiation from a sm...

    Text Solution

    |

  17. Two different rods A and B are kept as shown in figure . The variation...

    Text Solution

    |

  18. The area of cross-section of rod is given by A= A(0) (1+alphax) where ...

    Text Solution

    |

  19. Following graphs shows the variation in the intensity of heat radiatio...

    Text Solution

    |

  20. A red star and a green star radiate energy at the same rate which star...

    Text Solution

    |