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Damped Oscillation GR Sol

The document provides solutions for the JEE (Advanced) 2023 exam, specifically focusing on damped and forced oscillations in physics. It includes answers to multiple choice questions, equations related to damped oscillation, and numerical answers. The content is structured into sections with various types of questions, including single correct answer and multiple correct answer types.
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0% found this document useful (0 votes)
28 views2 pages

Damped Oscillation GR Sol

The document provides solutions for the JEE (Advanced) 2023 exam, specifically focusing on damped and forced oscillations in physics. It includes answers to multiple choice questions, equations related to damped oscillation, and numerical answers. The content is structured into sections with various types of questions, including single correct answer and multiple correct answer types.
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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GUIDED REVISION JEE (Advanced) 2023

JEE (Advanced)
ENTHUSIAST 2023
& LEADER COURSE
ENTHUSIAST & LEADER COURSE

PHYSICS GR # DAMPED & FORCED OSCILLATION

SOLUTION
SECTION-I
Single Correct Answer Type 15 Q. [3 M (–1)]
1. Ans. (C)
2. Ans. (B)
3. Ans. (D)
4. Ans. (B)
5. Ans. (A)
6. Ans. (B)

®
7. Ans. (C)
8. Ans. (B)
9. Ans. (B)
Sol. Equation of demped oscillation

x = é Ae ù sin wt
- b mt
2
êë úû

é -Rtù
I = ê I 0 e 2 L ú sin wt
ë û

I0
I 0e - ( R / 2 L ) t = For maximum
e
R
t =1 f = wt
2L

2L 2 Lw
t= f= ( X L = wL)
R R

2 ´ 200 10
( 2p ) n = =n =
20 p
10. Ans. (D)

2
K b 2p
Sol. w' = - and w ' =
m 4m2 T

11. Ans. (D)


Sol. This is the case of Damped oscillation.
12. Ans. (C)
Sol. Considering gravity, buoyant force and viscouse force oscillation will be damped.
W12 = w22 - C , w2 is natural frequency..
Þ T1 > T2 C is a constant.

Physics / GR # Damped & Force oscillation E-1/2


GUIDED REVISION JEE (Advanced) 2023
ENTHUSIAST & LEADER COURSE

13. Ans. (B)


14. Ans. (C)
15. Ans. (B)

m
Sol. T0 = 2p
k

2p
=
10

A = A0e- t / g

A0
\ for A = ,t=g
e

®
2m 2m
t=g= = 2 2 = 104 s
b Bl
R

t 104
\ No of oscillation T = » 5000 .
0 2p / 10

Multiple Correct Answer Type 2 Q. [4 M (–1)]


16. Ans. (A,B,D)
17. Ans. (A,D)
Linked Comprehension Type (1 Para × 2Q.) [3 M (-1)]
(Single Correct Answer Type)
18. Ans. (A)
19. Ans. (D)
SECTION-II
Linked Comprehension Type (1 Para × 2Q.) [3 M (-1)]
(upto second decimal place)
20. Ans. 50.00
21. Ans. 30.00
Numerical Answer Type Question 1Q.[3(0)]
(upto second decimal place)
22. Ans. 0.4

E-2/2 Physics / GR # Damped & Force oscillation

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