JEE Advanced 2020 Full Test 3 Paper 1

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Answer questions Q. 11 , Q. 12 and Q. 13 by appropriately matching the information given in the three columns of the following table.
Column-1 represents some systems, in which the mass is released for rest with spring relaxed. All contact surface are smooth, strings light, inextensible and pulleys light and smooth. Column-2 contains amplitude of small oscillations and column-3 contains time period for the oscillations.
 Column 1  Column 2  Column 3
 (I)
 (i)
mg
2k
 (P) 2π
2m
k
 (II)
 (ii)
mg
k
 (Q) π
m
k
 (III)
 (iii)
2mg
k
 (R) Initial angular velocity ω0=
2V0
R
 (IV)
 (iv)
mg
8k
 (S) 4π
m
k
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