Home
Class 8
MATHS
Frequency of vibration of a wire varies ...

Frequency of vibration of a wire varies inversely with its length. The frequency is 220 Hz when the length of the wire is 120m. Find the frequency of the wire when its length is 100 m.

A

261

B

262

C

280

D

264

Text Solution

Verified by Experts

The correct Answer is:
D
(i) Use inverse variation concept.
(ii) given, F is inversely proportional to l.
`implies(F_(1))/(F_(2))=(l_(2))/(l_(1))`
Promotional Banner

Topper's Solved these Questions

  • RATIO, PROPORTION AND VARIATION

    PEARSON IIT JEE FOUNDATION|Exercise LEVEL 2|19 Videos

  • RATIO, PROPORTION AND VARIATION

    PEARSON IIT JEE FOUNDATION|Exercise LEVEL 3|6 Videos

  • RATIO, PROPORTION AND VARIATION

    PEARSON IIT JEE FOUNDATION|Exercise Essay Type Question|5 Videos

  • PROFIT AND LOSS DISCOUNT AND PARTNERSHIP

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION (LEVEL 2) |29 Videos

  • REAL NUMBERS AND LCM AND HCF

    PEARSON IIT JEE FOUNDATION|Exercise level -11|1 Videos

Similar Questions

Explore conceptually related problems

Two parts of sonometer wire, divided by a movable knife edge differ in length by 2 cm and produce 1 beat/s when sounded together. Assume fundamental frequencies. If the total length of the wire is 100 cm. The frequencies. If the total length of the wire is 100 cm. The frequencies of the two parts of the wire are

The fundamental frequency of vibration of a wire fo certain length is 200 Hz. What will be the fundamental frequency of vibration, if the tension is made double and length of the wire is also doubled ?

The length of vibrating wire is 60cm and frequency is 110Hz. When the length is decreased frequency is 110Hz. When the length is decreased by 5 cm, then the number of beats produced is

A stretched sonometer wire resonates at a frequency of 350 Hz and at the next higher frequency of 420 Hz . The fundamental frequency of this wire is :

A stretched wire carries a body of density sigma = 8000 kg//m^(3) at its end. The fundamental frequency of vibration of wire is 280 Hz. The body is dipped completely in a vessel of water. Find the new frequency of fundamental mode of vibrations. (Density of water is rho = 1000 kg//m^(3) )

When the tension on a wire is 4N its length is l_(1) . When the tension on the wire is 4N length is l_(1) . When the tension on the wire is 5N its length is l_(2) . Find its natural length.

The length of a stretched wire is 1 m and its fundamental frequency is 300 Hz.What is the speed of the transverse wave in the wire ?

A wire when stretched between two rigid supports under a tension of 60 N vibrates in p loops. The frquency at which the wire resonates is 318 Hz and the next frequency when it resonates is 390 Hz. Find the values of p and length of wire if mass per unit length of the wire is 10^(-4) kg/m.

PEARSON IIT JEE FOUNDATION-RATIO, PROPORTION AND VARIATION-LEVEL 1
  1. One day, the ratio of the number of first class and second class passe...

    Text Solution

    |

  2. In a bag, the number of Re. 1 coins, 50 paise coins and 25 paise coins...

    Text Solution

    |

  3. Incomes of A and B are Rs 3500 and Rs 4200 respectively. The ratio of ...

    Text Solution

    |

  4. if the ratio of the ages (in years) of x and y, 8 years ago is 7:6, th...

    Text Solution

    |

  5. If P:Q:R=2:3:4 and P^(2)+Q^(2)+R^(2)=11600, then find (P+Q-R)

    Text Solution

    |

  6. If (x)/(2),(7)/(x),(3x)/(2) and (7)/(3) are in proportion, then the va...

    Text Solution

    |

  7. If (3a+4b):(3a-4b)=(3c+8d):(3c-8d), then which of the following is tru...

    Text Solution

    |

  8. If (p)/(q)=(r)/(s)=(t)/(u) then (p^(2)+r^(2)+t^(2))/(q^(2)+s^(2)+u^(2)...

    Text Solution

    |

  9. Which of the following ratios are in ascending order?

    Text Solution

    |

  10. Given that x varies directly with the square of y. when x is 2,y is al...

    Text Solution

    |

  11. Twenty men can lay a road off 50 km long in 10 days. In how many days ...

    Text Solution

    |

  12. Fifteen men take 30 days to complete a piece of work, working 8 hours ...

    Text Solution

    |

  13. The flow of current through a resistor varies directly with the voltag...

    Text Solution

    |

  14. For 20 Student, the mess bill for 12 days is Rs 7000. In how many days...

    Text Solution

    |

  15. Frequency of vibration of a wire varies inversely with its length. The...

    Text Solution

    |

  16. if (2x+1):(5x-1) is the triplicate ratio of 3:4, then find the value o...

    Text Solution

    |

  17. If A:B=3:2, B:C=4:3 and C:D=3:5, then divide Rs 360 among A,B,C and D....

    Text Solution

    |

  18. If x:15=y:6, then find the value of (x+y)/(x-y) The following proble...

    Text Solution

    |

  19. if two numbers are in the ratio (1)/(15):(1)/(20), then by what percen...

    Text Solution

    |

  20. If the compound ratio of 9:x and (x+1):15 is 4:5, then find the ratio ...

    Text Solution

    |