Q60. Number of amine compounds from the following giving solids which are soluble in NaOH upon reaction with [Figure] [Figure]
Hinsberg's reagent is [Figure] [Figure] [Figure]

Q60. The total number of carbon atoms present in tyrosine, an amino acid, is $\_\_\_\_$

Q60. Total number of essential amino acid among the given list of amino acids is $\_\_\_\_$ Arginine, Phenylalanine, Aspartic acid, Cysteine, Histidine, Valine, Proline

Q60.
$$\mathrm { M } ^ { 2 + } + \mathrm { H } _ { 2 } \mathrm {~S} \rightarrow \mathrm {~A} \text { (Black precipitate) } + \text { by product }$$
Consider the following test for a group-IV cation. $\mathrm { A } +$ aqua regia $\rightarrow \mathrm { B } + \mathrm { NOCl } + \mathrm { S } + \mathrm { H } _ { 2 } \mathrm { O }$ The $\mathrm { B } + \mathrm { KNO } _ { 2 } + \mathrm { CH } _ { 3 } \mathrm { COOH } \rightarrow \mathrm { C } +$ by product spin-only magnetic moment value of the metal complex C is $\_\_\_\_$ BM (Nearest integer)

69. (1) & 70. (4) & 71. (3) & 72. (4) \hline 77. (1) & 78. (1) & 79. (4) & 80. (4) \hline 85. (450) & 86. (0) & 87. (24) & 88. (61) \hline \end{tabular}

Q70. Let a relation R on $\mathrm { N } \times N$ be defined as: $\left( x _ { 1 } , y _ { 1 } \right) \mathrm { R } \left( x _ { 2 } , y _ { 2 } \right)$ if and only if $x _ { 1 } \leq x _ { 2 }$ or $y _ { 1 } \leq y _ { 2 }$. Consider the two statements: (I) R is reflexive but not symmetric. (II) $R$ is transitive Then which one of the following is true?
(1) Both (I) and (II) are correct.
(2) Only (II) is correct.
(3) Neither (I) nor (II) is correct.
(4) Only (I) is correct.

73. (2) & 74. (4) \hline 81. (8) & 82 . (72) \hline 89. (54) & 90. (48) \hline \end{tabular}

1. (1)
2. (1)
3. (2)
4. (50)
5. (1)
6. (4)
7. (8)
8. (1)
9. (2)
10. (4)
11. (233)
12. (1)
13. (3)
14. (1)
15. (8)
16. (4)
17. (1)
18. (2)
19. (45)
20. (1)
21. (3)
22. (100)
23. (4)
24. (2)
25. (6)
26. (9)
27. (3)
28. (2)
29. (125)
30. (2)
31. (2)
32. (4)
33. (45)
34. (1)
35. (1)
36. (7)
37. (7)
38. (3)
39. (4)
40. (8)

62 . (4) 70. (2) 78. (1) 86. (27) 7. (4) 15. (4) 23. (5) 31. (2) 39. (4) 47. (1) 55. (9) 63. (3) 71. (3) 79. (3) 87. (8) 8. (2) 16. (4) 24. (7) 32. (1) 40. (4)

81. (221) & 82. (6) & 83. (806) & 84. (75) & 85. (68) & 86. (55) & $87 . ( 47 )$ & 88. (65) \hline 89. (46) & 90. (13) & & & & & & \hline \end{tabular}

Find the dimensions of the expression $\frac { \varepsilon _ { 0 } \mathrm { E } } { \mathrm { T } }$ where $\varepsilon _ { 0 } , \mathrm { E }$ and T are permittivity, electric field and time. (A) MLA ${ } ^ { 2 }$ (B) $\mathrm { MA } ^ { - 1 } \mathrm {~L}$ (C) $/ \mathrm { AL } ^ { - 2 }$ (D) AL

There are two point charges, one at vertex and other at face as shown the cube. Find electric flux through the cube.\ (A) $q / \varepsilon _ { 0 }$\ (I) $3 q / 4 \varepsilon _ { 0 }$\ (C) $2 q / \varepsilon _ { 0 }$\ (D) $5 q / \varepsilon _ { 0 }$

When an object is kept at distance 8 cm and 24 cm from a convex lens magnitude of magnification is same in both cases. Find focal length of the lens. (A) 8 cm (B) 16 cm (C) 32 cm (D) 64 cm

A spring of stiffness $\mathrm { k } = 15 \mathrm {~N} / \mathrm { m }$ is cut into a ratio of $3 : 1$. Find the spring constant of smaller length spring thus formed.
(A) $60 \mathrm {~N} / \mathrm { m }$
(B) $45 \mathrm {~N} / \mathrm { m }$
(C) $50 \mathrm {~N} / \mathrm { m }$
(D) $15 \mathrm {~N} / \mathrm { m }$

A regular hexagon is formed by six identical resistors, each of resistance R. Find the equivalent resistance between two opposite vertices $A$ and $B$ of the hexagon.
(A) R
(B) R/2
(C) 3R/2
(D) 2 R

There are three long parallel wires in a plane as shown. Find force on 15 cm of length of middle wire. (A) $3 \mu \mathrm {~N}$ (B) $5 \mu \mathrm {~N}$ (C) $6 \mu \mathrm {~N}$ (D) $7 \mu \mathrm {~N}$

For the circuit given below, identify the logic gate. (A) AND (B) OR (C) NAND (D) NOR

In a circuit there is a battery with internal resistance $r$ and EMF $E$, which is connected to external load resistance $R$. Find value of $R$ so that maximum power dissipates across $R$.
(A) $R = r$
(B) $R = r/2$
(C) $R = \sqrt{2}r$
(D) $R = 2r$

In an open organ pipe $3 ^ { \text {rd } }$ and $6 ^ { \text {th } }$ harmonic frequency differ by 3200 Hz . Find the length of organ pipe (speed of sound $= 320 \mathrm {~m} / \mathrm { s }$ ) (A) 5 cm (B) 10 cm (c) 15 cm (D) 20 cm

A point charge $7 \mu \mathrm { C }$ is placed at ( $- 9,0,0$ ) another point charge $- 2 \mu \mathrm { C }$ is placed at (9, 0, 0). Find potential energy of system.

EM waves and their source are given
Column-I
(a) X-rays
(b) Infrared Rays
(c) Microwaves
(d) Radio waves
Column-II (xp) Hot bodies and molecules Eq) Oscillatory current in Atenas
(r) Magnetron
(3) Fast moving electrons striking a metal plate
→ $\mathbf { a } - \mathbf { p } , \mathbf { b } - \mathbf { s } , \mathbf { c } - \mathbf { r } , \mathbf { d } - \mathbf { q }$
(C) $\lambda \mathrm { a } - \mathrm { s } , \mathrm { b } - \mathrm { p } , \mathrm { c } - \mathrm { s } , \mathrm { d } - \mathrm { q }$
(b) $\mathrm { a } - \mathrm { s } , \mathrm { b } - \mathrm { p } , \mathrm { c } - \mathrm { r } , \mathrm { d } - \mathrm { q }$ (R) a-s, b-r, c-p, d-q

Find magnetic field at point $O$.

Magnetic field at the center of ring is $\mathbf { 16 ~ } \boldsymbol { \mu T }$. Find magnetic field at axis of ring at distance $\sqrt { 3 } \mathrm { R }$ from center where R is radius of ring (A) $1 \mu \mathrm {~T}$ (B) $2 \mu \mathrm {~T}$ (C) $4 \mu \mathrm {~T}$ (D) $8 \mu \mathrm {~T}$

Object is placed at distance 30 cm from lens given below, then distance of image from lens is $\left( \mathrm { R } _ { 1 } = 10 \mathrm {~cm} , \mathrm { R } _ { 2 } = 20 \mathrm {~cm} \right)$ (A) 20 (B) 24 (C) 30 (D) 36

Which one among the following resonating structures is not correct?

Refractive index of prism is $\sqrt{2}$. What should be angle of incidence for a light ray such that the emerging ray grazes out the surface.
(A) $30°$
(B) $45°$
(C) $60°$
(D) $90°$

For the given logic gate find output function. (A) $\overline { \mathrm { A } } \cdot \overline { \mathrm { B } } + \mathrm { C } + \mathrm { D }$ (B) $\mathrm { AB } + \mathrm { CD }$ (C) $\overline { \mathrm { A } } + \overline { \mathrm { B } } + \overline { \mathrm { C } } \cdot \overline { \mathrm { D } }$ (D) $\mathbf { A B } + \overline { \mathbf { C } } \cdot \overline { \mathbf { D } }$