PHYSICS

JAMB 2011 - Question 26

Physics 2011 JAMB Past Questions - Question 26: A length of wire has a frequency of 255Hz when stretched by a force of 225N. If the force increases to 324N , what is new frequency of vibration ?

Choose the correct answers from the options given.
A length of wire has a frequency of 255Hz when stretched by a force of 225N. If the force increases to 324N , what is new frequency of vibration ?
A:
B:
C:
D:
Examkits App

Examkit's JAMB CBT App

Practice JAMB offline with our Online, PC and Mobile App

  • ✅ 25+ years of past questions (2000 to 2025)
  • ✅ Video solutions and explanation to questions
  • ✅ E-library
  • ✅ Study by topic
  • ✅ And more.

Correct Answer

B

Explanation

To determine the new frequency of vibration when the force increases, we can use the formula for the relationship between frequency and tension in a stretched wire. The formula is given by:

f = (1/2L) * √(T/μ)

Where:
f is the frequency of vibration,
L is the length of the wire,
T is the tension in the wire, and
μ is the linear mass density of the wire.

In this case, we are given the initial frequency (f = 255 Hz) and the initial force (T = 225 N). We need to find the new frequency when the force increases to 324 N.

Since the length of the wire and the linear mass density are not given, we can assume that they remain constant. Therefore, we can set up a proportion to solve for the new frequency:

f1 / T1 = f2 / T2

Substituting the given values:

255 Hz / 225 N = f2 / 324 N

Now we can solve for f2, the new frequency:

f2 = (255 Hz / 225 N) * 324 N
f2 ≈ 365.6 Hz

Therefore, the new frequency of vibration when the force increases to 324 N is approximately 365.6 Hz.

Frequently Asked Questions

Examkits is a JAMB CBT practice platform that provides over 20 years of past questions, Post UTME questions, and detailed video solutions to help students prepare for their exams.

You can practice JAMB past questions online, on Android, or on a desktop using the Examkits app. Just register on our website and choose your preferred device.

Yes. Our Android and Windows versions support offline usage. Once downloaded and activated, no internet is required to use most of the features.

Yes, Examkits provides detailed video explanations for all JAMB past questions from 2000 to 2024, helping students understand how to solve each problem.

Examkits offers free practice for some subjects. However, full access requires a one-time affordable activation fee for each version of the app.