A hybrid derived from the fusion of a myeloma cell (HPRT−) with an antibody secreting B-lymphocyte (HPRT+) can be selected to produce monoclonal antibody by growing in a medium containing

The value of the expression:sin²1° + sin²11° + sin²21° + sin²31° + sin²41° + sin²45° + sin²49° + sin²59° + sin²69° + sin²79° + sin²89° is?

A

0

B

$${\text{5}}\frac{1}{2}$$

C

$${\text{4}}\frac{1}{2}$$

D

5

Silicon is doped with arsenic (concentration 10²⁰ atoms.m^-3). At room temperature, the electron and hole mobilities in Si are 0.14 m².v^-1.s^-1 and 0.05 m²v^-1.s^-1 respectively. The conductivity in (?m)^-1, at room temperature for Si doped with As is

A

0.11

B

0.96

C

2.24

D

2.72

If a² sec²x - b² tan²x = c², then the value of sec²x + tan²x is equal to (assume b² ≠ a²)

A

$$\frac{{{b^2} - {a^2} + 2{c^2}}}{{{b^2} + {a^2}}}$$

B

$$\frac{{{b^2} + {a^2} - 2{c^2}}}{{{b^2} - {a^2}}}$$

C

$$\frac{{{b^2} - {a^2} - 2{c^2}}}{{{b^2} + {a^2}}}$$

D

$$\frac{{{b^2} - {a^2}}}{{{b^2} + {a^2} + 2{c^2}}}$$

Raw material purchased:
1^st January, 600 units @ Rs. 12 per unit
12^th January, 500 units @ Rs. 14 per unit
21^st January, 300 units @ Rs. 13 per unit
Raw material issued for manufacture:
3^rd January 300 units
5^th January 124 units
15^th January 250 units
16^th January 300 units
Raw material returned to stores from manufacturing department on 14^th January, 50 units. The material is issued on First-in-First out method.
The value of material remaining in store on 21^st January will be:

A

5,775

B

6,100

C

6,350

D

6,600

If the contents of exchangeable ions (cmol kg^-1) determined in soil are Na⁺ = 5, K⁺ = 5, Ca²⁺ = 10, Mg²⁺ = 2, H⁺ = 1, Al⁺³ = 1, Cl^- = 1.6 and HCO^-₃ =0.4, the CEC of soil is

A

26 cmol (P+) kg-1

B

20 cmol (P+) kg-1

C

24 cmol (P+) kg-1

D

None of these

Given that ( 1² + 2² + 3² + .......... + 10² ) = 385, then the value of ( 2² + 4² + 6² + .......... + 20² ) is equal to = ?

A

770

B

1155

C

1540

D

(385)2

In a mine ventilation system, the resistances of two splits A and B are 0.5 Ns²m^-8 and 2 Ns²m^-8 respectively. Combined resistance of two shafts and trunk airways is 0.7 Ns²m^-8. A quantity of 20 m³/s of air passes through split A. The total air quantity passing the mine in m³/s is

A

30

B

27

C

25

D

17

Given that (1² + 2² + 3² + ..... + 20²) = 2870, the value of (2² + 4² + 6² + ... + 40² ) is :

A

2870

B

5740

C

11480

D

28700

Thermal death of microorganisms in the liquid medium follows first order kinetics. If the initial cell concentration in the fermentation medium is 10⁸ cells mL^-1 and the final acceptable contamination level is 10^-3 cells, for how long should 1 m³ medium be treated at temperature of 120°C (thermal deactivation rate constant = 0.23 min^-1) to achieve acceptable load?

A

48 min

B

11 min

C

110 min

D

20 min

pure nickel melts at 1726K at 10⁵ Pa (1 atm.) pressure, ΔV (solid-liquid) = 0.26 × 10^-6 m³ . mol^-1 and the heat of fusion, ΔHf = 18000 J.mol^-1. The melting point of pure nickel, when acted upon by a pressure of 10⁸ Pa is . . . . . . . . K.

A

1701.5

B

1723.5

C

1728.5

D

1751. 5