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Mechanical Properties of Solids

JEE Main 2024 (Online) 29th January Evening ShiftMCQEasy📈 Topic in 26% papers+4−1
Ques. 1JEE Main 2024, 29 January (Evening Shift)

A wire of length L and radius r is clamped at one end. If its other end is pulled by a force F, its length increases by l. If the radius of the wire and the applied force both are reduced to half of their original values keeping original length constant, the increase in length will become:

  1. 2 times
  2. 4 times
  3. 3 times
  4. 32 times

Answer

(1) 2 times

Solution

Y= FL r2 l l= FL r2Y Fr2

l'l= F/2(r/2)2 r2F= 1/21/4=2

Same material and length, so Y and L do not change.

Answer: (1)

Keep practising — Mechanical Properties of Solids

Ques. 2JEE Main 2024, 29 January (Evening Shift)

Two metallic wires P and Q have same volume and are made up of same material. If their area of cross sections are in the ratio 4:1 and force F1 is applied to P, an extension of l is produced. The force which is required to produce same extension in Q is F2. The value of F1F2 is .

Ques. 3JEE Main 2024, 27 January (Morning Shift)

If average depth of an ocean is 4000 m and the bulk modulus of water is 2 109 N m-2, then fractional compression VV of water at the bottom of ocean is 10-2. The value of is (Given, g = 10 m s-2, = 1000 kg m-3)

Ques. 4JEE Main 2024, 27 January (Evening Shift)

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). In the light of the above statements, choose the correct answer from the options given below :

  1. (A) is false but (R) is true
  2. Both (A) and (R) are true but (R) is not the correct explanation of (A)
  3. Both (A) and (R) are true and (R) is the correct explanation of (A)
  4. (A) is true but (R) is false

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