Part Test - Iii 18 DEC 2016 Paper - 2 Advanced Physics Section - A (One Options Correct Type)
Part Test - Iii 18 DEC 2016 Paper - 2 Advanced Physics Section - A (One Options Correct Type)
Part Test - Iii 18 DEC 2016 Paper - 2 Advanced Physics Section - A (One Options Correct Type)
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PART TEST – III
18TH DEC 2016
Paper - 2
Advanced
PHYSICS
SECTION – A
This section contains 10 multiple choice questions. Each question has four choices (a), (b), (c) and (d) out of
which ONLY ONE option is correct.
This section contains 3 groups of questions. Each group has 2 multiple choice question based on a paragraph.
Each question has 4 choices (a), (b), (c) and (d) for its answer, out of which only ONE is correct
Read the following write up carefully and answer the following questions
→
→
→
=
OA =
, OB m,=
| OC n. O is origin, A, B, C lie in the plane x + 2y – z = 0 and AB + BC + CA
2 2 2
is
maximum
11. lf = 4 and m = n = 2 2 ,then |AB| is equal to
(a) 6 (b) .E (c) 2 10 (d) none of these
12.
→
→
lf OA − 2i − j and OB =− i + j + k, , then position vector of C is
(a) 3i − 3 j (b) 2i + 2 j − 6k (c) i + j (d) − i − k
Read the following write up carefully and answer the following questions :
x n + yn + zn
=
Let us define an ∀ n ∈ N where
= a1 0
n
13. Let xy + yz+ zx = p, then which of the following is not correct
p2
(a) a 22 = 2a 4 (b) a 4 = (c) a 5 = pa 3 (d) a 3 = xyz
2
14. a 2a 5
is equal to
a7
1
(a) 3 (b) 1 (c) (d) none of these
3
Read the following write up carefully and answer the following questions :
This section contains 4 multiple choice questions. Each question has matching lists. The codes for the lisls
have choices (A), (B), (C) and (D) out of which only ONE is correct
17. There are n persons P 1 P 2 .....P n outside a room and n numbered switches S 1 S 2 S 3 .....S n inside the room
(all are off). P 1 enters the room changing the state of switches S 1 , S 2 , S 3 ..... S n and exits, then P 2
enters and changes the states of switches S 2 , S 4 , S 6 .....and exits, then P 3 enters and changes the states
of switches S 3, S 4, S 6 ..... (exits) and so on till P n exits the room. If changing the state means either
on to off or off to on and number of switches that were on after P n exits is f(n), then match values of n
in
List-I to f(n) in List-II
List-I List-II
P n=5 1 f(n) = 8
Q n = 50 2 f(n) =2
R n = 20 3 f(n) = 4
S n = 70 4 f(n) = 7
Codes :
P O R S
(A) 2 4 1 3
(B) 1 2 3 4
(c) 4 3 2 1
(D) 2 4 3 1
List-I List-II
P |A 3 | 1 5
Q |A 6 | 2 4
R |A 7 | 3 3
S |A 15 | 4 2
Codes :
P O R S
(A) 1 2 3 4
(B) 3 4 1 2
(c) 3 4 2 1
(D) 4 3 2 1
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19. 1
For all complex numbers z such that z + = a let us define M a = maximum possible |z| and m a
z
minimum possible |z| (where [.] represents greatest integer function). Match the following List-I with
List-II
List-I List-II
P |[- 2M 5 ]| 1 7
Q [|M 6 - m 6 |] 2 11
R [2(m 2 + M 2 )] 3 6
S [|M 7 – m 7 |] 4 5
Codes :
P O R S
(A) 4 3 2 1
(B) 2 3 4 1
(c) 2 3 1 4
(D) 1 2 3 4
20. 52 cards of a deck are arranged in line match the following List-I with List-II
List-I List-II
P Number of ways in which spades appear in 1 52! 13
.2
increasing order of denomination 26!
Q Number of ways in which red cards appear in non 2 52!
decreasing order of denomination 13!
R Number of ways in which cards appear in non- 3 52
decreasing order of denomination 13 !13 !13 !13 !
S Number of ways in which card of each suit appear in 4 (4!)13
increasing order of denomination
Codes:
P O R S
(a) 2 1 3 4
(b) 4 3 2 1
(c) 1 2 3 4
(d) 2 1 4 3
!
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ANSWER KEY
1. A 2. B 3. B 4. D 5. D 6. B 7. C 8. A 9. C 10. C
11. C 12. D 13. C 14. B 15. D 16. A 17. D 18. C 19. B 20 D