Which of the following functions describes the nature of interaction potential V(r) between two quarks inside a nucleon? (r is the distance between the quarks and a and b positive constants of suitable dimensions).

The interaction potential between two quarks, separated by a distance r inside a nucleon can be described by (a, b and β are positive constants)

A

$$a{e^{ - \beta r}}$$

B

$$\frac{a}{r} + br$$

C

$$ - \frac{a}{r} + br$$

D

$$\frac{a}{r}$$

Mohan traveled five cities (A, B, C, D and E) starting from home by a car which has a mileage such that the car can travel 10 km in 1 liter petrol. Distance between city A and B is twice the distance between home to city A. Distance between city B and C is thrice the distance between home to city A. Distance between city C and D is 100. Distance between city D and E is 1.5 times than the distance between B and C. Average distance traveled by Mohan was 41 km between five cities. Find how much petrol was needed by Mohan to travel from city B to D.

A

12

B

13

C

10

D

15

Let $$\left| n \right\rangle $$ and $$\left| p \right\rangle $$ denote the isospin state with $$I = \frac{1}{2},\,{I_3} = \frac{1}{2}$$ and $$I = \frac{1}{2},\,{I_3} = - \frac{1}{2}$$ of a nucleon respectively. Which one of the following two-nucleon states has $$I = 0,\,{I_3} = 0\,?$$

A

$$\frac{1}{{\sqrt 2 }}\left( {\left| {nn} \right\rangle - \left| {pp} \right\rangle } \right)$$

B

$$\frac{1}{{\sqrt 2 }}\left( {\left| {nn} \right\rangle + \left| {pp} \right\rangle } \right)$$

C

$$\frac{1}{{\sqrt 2 }}\left( {\left| {np} \right\rangle - \left| {pn} \right\rangle } \right)$$

D

$$\frac{1}{{\sqrt 2 }}\left( {\left| {np} \right\rangle + \left| {pn} \right\rangle } \right)$$

As per the RBI Act, 1934, the following functions are described as the functions of a Central Bank:
1. Banking functions
2. Advisory functions
3. Supervisory functions
4. Promotional functions
Identify the correct combination:

A

1, 3 and 4

B

1, 2 and 4

C

2, 3 and 4

D

Only 1 and 3

Questions below followed by two quantities. Find the relation between them. The table shows the distance travelled by five different boats upstream, the speed of the boat in still water and the time taken by them to cover the upstream distance. Boats Upstream distance Speed of boat Time taken A 240 km 15 km/hr 20 hr B 150 km 10 km/hr 25 hr C 350 km 20 km/hr 50 hr D 96 km 8 km/hr 16 hr E 126 km 26 km/hr 9 hr Quantity I: Boat B travel 238 km distance downstream in certain time. How much downstream distance boat D will cover at the same time? Quantity II: Boat E travel 722 km distance downstream in certain time. How much downstream distance boat A will cover at the same time?

A

Quantity I > Quantity II

B

Quantity I ≥ Quantity II

C

Quantity I ≤ Quantity II

D

Quantity I < Quantity II

E

Quantity I = Quantity II

Which of the following is true regarding the metallic nature of minerals? I. Metallic nature is directly proportional to electropositive nature. II. Metallic nature in period increases. III. Metallic nature in groups increases.

A

1 and 3 only

B

2 only

C

Both 1 and 2

D

All of the above

Architectural dimensioning standards allow for the placement of dimensions inside the floor plan. These inside dimensions locate interior __________.

A

Door openings and walls

B

Centers of cabinets

C

Windows

D

All of the above

In the two set given below, Set I mentions some of the evolutes of Prakarti white Set II indicates their nature and function in term of Sankhya philosophy. Match the two sets List I (Evolution of Prakiti) List II (Nature and function) 1. Mahat, the great (i) Are neither the qualities nor the differentia of gross elements nor the function. 2. Ego (Ahankar) (ii) It is cosmic in nature and functions as a psychological aspect of knowing. 3. Mind (Manas) (iii) It is the principle of individuation and its function is to generate self-sense. 4. Subtle essences (Tanmtras) (iv) It is the subtle and central sense organ which synthesizes sense data into determinate perception. Select correct answer from the following options.

A

(a)-(i), (b)-(iv), (c)-(iii), (d)-(ii)

B

(a)-(iv), (b)-(iii), (c)-(ii), (d)-(i)

C

(a)-(ii), (b)-(iii), (c)-(iv), (d)-(i)

D

(a)-(iii), (b)-(ii), (c)-(i), (d)-(iv)

Below are given two sets, Set - I which gives modalities of operant conditioning and Set - II which provides the types of reinforcement, the types of responses (responses made or withheld) and the presence or absence of cue. Match the two sets and indicate your answer by choosing from the code : Set - I (Modalities of operant conditioning procedures) Set – II (Conditions and contexts) (a) Reward training (i) Positive reinforcement, response made, with cue present (b) Escape training (ii) Positive reinforcement, response withheld with cue absent (c) Discriminated omission training (iii) Positive reinforcement, response made with cue absent (d) Active avoidance (iv) Negative reinforcement, response made with training (e) Punishment training (v) Positive reinforcement, response withheld with cue present (vi) Negative reinforcement, response withheld with cue absent

A

(a) - (iii), (b) - (iv), (c) - (v), (d) - (i) - (e) - (vi)

B

(a) - (i), (b) - (ii), (c) - (iii), (d) - (iv) - (e) - (v)

C

(a) - (ii), (b) - (iii), (c) - (iv), (d) - (v) - (e) - (vi)

D

(a) - (i), (b) - (iii), (c) - (iv), (d) - (v) - (e) - (vi)

Consider the following statements about velocity potential : 1. Velocity potential is a vector function similar to stream function. 2. It is a fully three dimensional function and not limited to two coordinates. 3. Velocity potential does not exist at stagnation points. 4. Velocity potential exists only if the flow is Irrotational. Which of these statements are correct?

A

1, 2 and 3

B

1, 2 and 4

C

1, 3 and 4

D

2, 3 and 4

Which of the following functions describes the nature of interaction potential V(r) between two quarks inside a nucleon? (r is the distance between the quarks and a and b positive constants of suitable dimensions).

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