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Oscillations

JEE Main 2025 (Online) 23rd January Morning ShiftMCQMedium📈 Topic in 5% papers+4−1
Ques. 1JEE Main 2025, 23 January (Morning Shift)

A light hollow cube of side length 10 cm and mass 10 g, is floating in water. It is pushed down and released to execute simple harmonic oscillations. The time period of oscillations is y 10-2 s, where the value of y is (Acceleration due to gravity, g=10 m/s2, density of water =103 kg/m3 )

  1. 2
  2. 4
  3. 1
  4. 6

Answer

(1) 2

Solution

Pushed down by x, the extra upthrust is the restoring force: F=- Ag x, so k= Ag (SHM).

[figure]

k=103 10-2 10=100 N m-1, m=10-2 kg

T=2 mk=2 10-2 s y=2

Answer: (1)

Keep practising — Oscillations

Ques. 2JEE Main 2025, 22 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. Both (A) and (R) are true and (R) is the correct explanation of (A)
  2. (A) is false but (R) is true
  3. (A) is true but (R) is false
  4. Both (A) and (R) are true but (R) is NOT the correct explanation of (A)

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