Calculate the quality factor for the R-C circuit connected in the cooling system if R=1 Ω and C=10 F.

In a classroom there are ten chairs in a row c1, c2, c3, ........., c10 which are labelled by numbers 1, 2, 3, .........., 10 arbitrarily but satisfying the condition that ki ≤ kj whenever i ≤ j, where k1, k2, k3, ........., k10 are the labels given to the chairs c1, c2, c3, ........., c10 respectively. Then which of the following is true ?

A

For some i, k_i = i

B

There are two i and j such that k_i = i and k_j = j

C

All labels must be distinct

D

For every i, k_i = i

Consider the following statements for cooling towers: 1. Cooling tower is an artificial device used to cool the hot cooling water coming out of condenser more effectively. 2. The amount of water usually lost with induced draft cooling tower ranges from 5% to 6% by evaporation. 3. The amount of water usually lost with induced draft cooling tower ranges from 7% to 8% by drift losses. 4. The rate of evaporation of water and its cooling effect on the remaining water depends upon the relative humidity of air passing through the tower. Which of the above statements are correct?

A

1 and 4 only

B

1 and 3 only

C

2 and 3 only

D

1, 2, 3 and 4

A 70 kg tea powder contains mixture from two qualities. Some amount of quality 1 tea powder is added so that ratio of quality 1 to quality 2 becomes 5 : 4. What is the extra amount of of quality 2 to be added so that, quality 2 becomes double the amount of quality 1 in new mixture. Given: current quality 1 exceeds quality 2 in old mixture by 10 kg?

A

30 kg

B

40 kg

C

50 kg

D

60 kg

The bypass factor, in case of sensible cooling of air, is given by (where td₁ = Dry bulb temperature of air entering the cooling coil, td₂ = Dry bulb temperature of air leaving the cooling coil, and td₃ = Dry bulb temperature of the cooling coil)

A

(td₁ -td₃)/( td₂ -td₃)

B

(td₂ -td₃)/( td₁ -td₃)

C

(td₃ -td₁)/( td₂ -td₃)

D

(td₃ -td₂)/( td₁ -td₃)

The bypass factor, in case of sensible cooling of air, is given by (where td₁ = Dry bulb temperature of air entering the cooling coil, td₂ = Dry bulb temperature of air leaving the cooling coil and td₃ = Dry bulb temperature of the cooling coil)

A

$$\frac{{{\text{t}}{{\text{d}}_1} - {\text{t}}{{\text{d}}_3}}}{{{\text{t}}{{\text{d}}_2} - {\text{t}}{{\text{d}}_3}}}$$

B

$$\frac{{{\text{t}}{{\text{d}}_2} - {\text{t}}{{\text{d}}_3}}}{{{\text{t}}{{\text{d}}_1} - {\text{t}}{{\text{d}}_3}}}$$

C

$$\frac{{{\text{t}}{{\text{d}}_3} - {\text{t}}{{\text{d}}_1}}}{{{\text{t}}{{\text{d}}_2} - {\text{t}}{{\text{d}}_3}}}$$

D

$$\frac{{{\text{t}}{{\text{d}}_3} - {\text{t}}{{\text{d}}_2}}}{{{\text{t}}{{\text{d}}_1} - {\text{t}}{{\text{d}}_3}}}$$

Which of the following statements regarding tree are correct? (A) All the links of a tree together does not constitute the complement of the corresponding tree (B) A connected subgraph of a connected graph is a tree if there exist (n - 1) nodes of the group (C) A connected subgraph of a connected graph is a tree if there exist many paths between any pair of nodes in it (D) The number of terminal nodes of end vertices of every tree are atleast two (E) Every connected graph has atleast one tree Choose the correct answer from the options given below: (1) (A) and (B) only (2) (B) and (C) only (3) (B) and (D) only (4) (D) and (E) only

A

1

B

2

C

3

D

4

In ac circuit, resistance 5 ohm is connected with capacitor having capacitive reactance 12 ohm. Supply of 260 V is connected to the circuit. Calculate the current in the circuit.

A

40 A

B

10 A

C

20 A

D

30 A

If a person buys 8 litres of oil but a dishonest shopkeeper mixed low-quality oil with high-quality oil in the ratio 3 ∶ 5. The price of high-quality oil is Rs.60/litre and that of low quality is Rs.20/litre, then what is the profit% of the shopkeeper if he charged the price of high-quality oil?

A

33.33%

B

66.66%

C

25%

D

75%

Consider the below statements. (i) Quality is defined as fitness for the purpose at the lowest cost (ii) Quality is a grade of the product in appearance, performance, life, reliability, taste, odour, maintainability etc (iii) Quality is the degree to which a specified product is preferred over competing products of equivalent grade, based on the comparative test by customers, normally called as customer’s preference (iv) Quality is a measure of the degree of the general excellence of the product (v) Quality may be defined as the degree of conformance to design and specifications Which of the above statements are correct?

A

i, ii

B

i, v, iv

C

i, ii, iii, iv, v

D

ii, iv, iii

Shweta has connected a cell with a bulb. The bulb didn't glow. What could be the reasons? A. Bulb was connected by the positive terminal from both ends. B. One end of the bulb was connected with a positive terminal and another end was connected with a negative terminal. C. Bulb was connected by the negative terminal from both ends D. Bulb was fuse.

A

B, C

B

A,B and D

C

A,C

D

A, C, D

Calculate the quality factor for the R-C circuit connected in the cooling system if R=1 Ω and C=10 F.

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