Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • A spring is compressed by a distance x. If the same spring is compressed by a distance 2x, the force required to compress it by 2x will be:Option: 1 <p

A spring is compressed by a distance x. If the same spring is compressed by a distance 2x, the force required to compress it by 2x will be:

Option: 1

2 times the force required to compress it by x


Option: 2

4 times the force required to compress it by x


Option: 3

8 times the force required to compress it by x


Option: 4

16 times the force required to compress it by x


Answers (1)

best_answer

According to Hooke's law, the force required to compress or extend a spring is directly proportional to the distance it is compressed or extended. Therefore, if the spring is compressed by a distance x and the force required is F, then the force required to compress it by a distance 2x will be 2F.

 

However, the amount of work done in compressing the spring by 2x is four times the amount of work done in compressing it by x (since the work done is proportional to the square of the distance), which means that the force required to compress it by 2x will be 4F.

Posted by

shivangi.shekhar

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Mains 2025 session 1 registration deadline on November 22; apply on jeemain.nta.nic.in
anam-khan

BTech Admission 2025 Live: JEE Mains, SRMJEEE, MET registrations underway; MHT CET syllabus updates
anam-khan

Centre issues coaching guidelines, prohibits centres from using false claims like '100% selection'

Latest Question