Home
Class 12
PHYSICS
A steal wire of cross-section area 3xx10...

A steal wire of cross-section area `3xx10^(-6) m^(2)` can withstand a maximum strain of `10^(-3)` .Young's modulus of steel is `2xx10^(11) Nm^(-2)` .The maximum mass this wire can hold is

A

40 kg

B

60 kg

C

80 kg

D

100 kg

Text Solution

Verified by Experts

The correct Answer is:
b
Young's modulus, `Y = ("stress")/("strain") = (A)/("Strain")`
or `Y = (mg)/(A xx "strain")`
Or `m = (Y xx A xx "Strain")/(g)`
`= (2 xx 10^(11) xx 10^(-3) xx 3 xx 10^(-6))/(10) = 60 kg`
Promotional Banner

Topper's Solved these Questions

  • ELASTICITY

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET CORNER|16 Videos

  • ELASTICITY

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise EXERCISE 1|66 Videos

  • CURRENT ELECTRICITY

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET CORNER|32 Videos

  • ELECTROMAGNETIC INDUCTION

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET CONER|34 Videos

Similar Questions

Explore conceptually related problems

The Young's modulus of steel is 1.9 xx 10^(11) Nm^(-2) . Calculate its value in dyne cm^(-2) .

A steel wire has diameter 2 mm and its maximum permitted strain is 0.001 . If the Young's modulus of steel is 20xx10^(10)"N m"^(-2) , find the maximum load the wire can withstand.

A wire of area of cross section 1xx10^(-6)m^(2) and length 2 m is stretched through 0.1 xx 10^(-3)m . If the Young's modulus of a wire is 2xx10^(11)N//m^(2) , then the work done to stretch the wire will be

A 4m long copper wire of cross sectional are a 1.2cm^(2) is strechted by a force of 4.8xx10^(3)N . if Young's modulus for copper is Y = 1.2xx10^(11) M//m^(2) , the increases in length of wire and strain energy per unit volume are

A copper wire of length 4.0 mm and area of cross-section 1.2 cm^(2) is stretched with a force of 4.8 xx 10^(3) N. If Young's modulus for copper is 1.2xx10^(11) N//m^(2) , the increases in the length of the wire will be

A steel wire of length 5 m and area of cross-section 4 mm^(2) is stretched by 2 mm by the application of a force. If young's modulus of steel is 2xx10^(11)N//m^(2), then the energy stored in the wire is

The area of a cross-section of steel wire is 0.1 cm^(-2) and Young's modulus of steel is 2 x 10^(11) N m^(-2) . The force required to stretch by 0.1% of its length is

An aluminium wire is clamped at each end and under zero stress at room temperature. Temperature of room decreases resulting into development of thermal stress & thermal strain in the wire. Cross-sectional area of the wire is 5.00 xx10^(-6)m^(2). Density of aluminium is 2.70 xx10^(3) kg//m^(2). Young’s modulus of aluminium is 7.00 xx10^(10) N//m^(2). A transverse wave speed of 100 m/s generates in the wire due to a resulting thermal strain ((Deltal)/(l)) developed in the wire. The thermal strain ((Delta l )/(l)) is: (l is original length of the wire)

Speed of a transverse wave on a straight wire ( mass 6.0 g, length 60 cm and area of cross - section 1.0 mm^(2 ) ) is 90 ms ^( - 1 ) . If the Young's modulus of wire is 16 xx 10 ^( 11) Nm ^( - 2 ) , the extension of wire over its natural length is :

A wire of area of cross-section 10^(-6) m^(2) is increased in length by 0.1 %. The tension produced is 1000 N. The Young's modulus of wire is

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-ELASTICITY -EXERCISE 2
  1. The bulk modulus of a metal is 8 xx 10^(9) Nm^(-2) and its density is ...

    Text Solution

    |

  2. When a force is applied on a wire of uniform cross-sectional are 3 xx ...

    Text Solution

    |

  3. A wire of cross section A is stretched horizontally between two clamps...

    Text Solution

    |

  4. An elastic spring of unstretched length L and spring constant K is str...

    Text Solution

    |

  5. What is the increase in elastic potential energy when ghe stretching f...

    Text Solution

    |

  6. The work done in increasing the length of a one metre long wire of cro...

    Text Solution

    |

  7. A load of 4.0 kg is suspended from a celling through a streel wire of ...

    Text Solution

    |

  8. Identify the incorrect statement.

    Text Solution

    |

  9. A 5m aluminium wire (Y = 7 xx 10^(10) Nm^(-2)) of diameter 3 mm suppor...

    Text Solution

    |

  10. A wire of length L and radius a rigidlyl fixed at one end. On stretchi...

    Text Solution

    |

  11. A load o f 1 kg weight is a attached to one end of a steel wire o f a...

    Text Solution

    |

  12. If the volume of a block os aluminium is decreased be 1% the pressure ...

    Text Solution

    |

  13. Copper of fixed volume V is drawn into wire of length l. When this wir...

    Text Solution

    |

  14. The average depth of indian Ocean is about 3000 m. The fractional comp...

    Text Solution

    |

  15. A 0.1kg mass is suspended from a wire of negligible mass. The length o...

    Text Solution

    |

  16. A rope 1 cm in diameter breaks, if the tension in it exceeds 500 N. Th...

    Text Solution

    |

  17. A steal wire of cross-section area 3xx10^(-6) m^(2) can withstand a m...

    Text Solution

    |

  18. The bulk modulus for an incompresssible liquid is

    Text Solution

    |

  19. Young's modulus of steel is Y and its rigidity modulus is eta. A piece...

    Text Solution

    |

  20. A wire of length L and radius r is loaded with a weigth Mg. If y and s...

    Text Solution

    |