PHYSICS
1. A spherical black body with a radius of
\(12~\text{cm}\) radiates
\(450~\text W\) power at
\(500~\text K.\) If the radius were halved and the temperature is doubled, the power radiated in watts would be:
1.
\(450\)
2.
\(1000\)
3.
\(1800\)
4.
\(225\)
2. On observing light from three different stars \(P,\) \(Q,\) and \(R,\) it was found that the intensity of the violet colour is maximum in the spectrum of \(P,\) the intensity of the green colour is maximum in the spectrum of \(R\) and the intensity of the red colour is maximum in the spectrum of \(Q.\) If \(T_P,\) \(T_Q,\) and \(T_R\) are the respective absolute temperatures of \(P,\) \(Q,\) and \(R,\) then it can be concluded from the above observations that:
1. \(T_P>T_Q>T_R\)
2. \(T_P>T_R>T_Q\)
3. \(T_P<T_R<T_Q\)
4. \(T_P<T_Q<T_R\)
3. The value of the coefficient of volume expansion of glycerine is \(5\times10^{-4}~\text{K}^{-1}.\) The fractional change in the density of glycerine for a rise of \(40^\circ \text{C}\) in its temperature is:
| 1. |
\(0.015\) |
2. |
\(0.020\) |
| 3. |
\(0.025\) |
4. |
\(0.010\) |
4. If the radius of a star is
\(R\) and it acts as a black body, what would be the temperature of the star at which the rate of energy production is
\(Q?\)\(\left(\sigma~ \text{is Stefan-Boltzmann constant}\right)\)
| 1. |
\(\dfrac{Q}{4\pi R^2\sigma}\) |
2. |
\(\left(\dfrac{Q}{4\pi R^2\sigma}\right )^{\dfrac{-1}{2}}\) |
| 3. |
\(\left(\dfrac{4\pi R^2 Q}{\sigma}\right )^{\dfrac{1}{4}}\) |
4. |
\(\left(\dfrac{Q}{4\pi R^2 \sigma}\right)^{\dfrac{1}{4}}\) |
5. A metallic bar of Young's modulus
\(0.5 \times 10^{11}~\text{Nm}^{-2},\) coefficient of linear thermal expansion
\(10^{-5} ~^{\circ}\text{C}^{-1},\) length
\(1~\text m\) and cross-sectional area
\(10^{-3} ~\text{m}^2\) is heated from
\(0^\circ \text{C}\) to
\(100^\circ \text C\) without expansion or bending. The compressive force developed in the metallic bar is:
| 1. |
\(50 \times 10^3~ \text N\) |
2. |
\(100 \times 10^3 ~\text N\) |
| 3. |
\(2 \times 10^3~\text N\) |
4. |
\(5 \times 10^3 ~\text N\) |
6. Liquid oxygen at \(50~\text K\) is heated up to \(300~\text K\) at a constant pressure of \(1~\text{atm}.\) The rate of heating is constant. Which one of the following graphs represents the variation of temperature with time?
7. A cup of coffee cools from \(90^{\circ}\text{C}\) \(80^{\circ}\text{C}\) in \(t\) minutes, when the room temperature is \(20^{\circ}\text{C}.\) The time taken by a similar cup of coffee to cool from \(80^{\circ}\text{C}\) \(60^{\circ}\text{C}\) at room temperature same at \(20^{\circ}\text{C}\) is:
| 1. |
\(\dfrac{10}{13}t\) |
2. |
\(\dfrac{5}{13}t\) |
| 3. |
\(\dfrac{13}{10}t\) |
4. |
\(\dfrac{13}{5}t\) |
8. Two identical bodies are made of a material for which the heat capacity increases with temperature. One of these is at \(100~^{\circ}\text{C},\) while the other one is at \(0~^{\circ}\text{C}.\) If the two bodies are brought into contact, then assuming no heat loss, the final common temperature is:
| 1. |
\(50~^{\circ}\text{C}\) |
| 2. |
more than \(50~^{\circ}\text{C}\) |
| 3. |
less than \(50~^{\circ}\text{C}\) but greater than \(0~^{\circ}\text{C}\) |
| 4. |
\(0~^{\circ}\text{C}\) |
9. The coefficient of linear expansion of brass and steel rods are
\(\alpha_1\) and
\(\alpha_2\). Lengths of brass and steel rods are
\(L_1\) and
\(L_2\) respectively. If
\((L_2-L_1)\) remains the same at all temperatures, which one of the following relations holds good?
| 1. |
\(\alpha_1L_2^2=\alpha_2L_1^2\) |
2. |
\(\alpha_1^2L_2=\alpha_2^2L_1\) |
| 3. |
\(\alpha_1L_1=\alpha_2L_2\) |
4. |
\(\alpha_1L_2=\alpha_2L_1\) |
10. Two rods \(A\) and \(B\) of different materials are welded together as shown in the figure. Their thermal conductivities are \(K_1\) and \(K_2.\) The thermal conductivity of the composite rod will be:
| 1. |
\(\dfrac{3(K_1+K_2)}{2}\) |
2. |
\(K_1+K_2\) |
| 3. |
\(2(K_1+K_2)\) |
4. |
\(\dfrac{(K_1+K_2)}{2}\) |
CHEMISTRY
11. Which of the following mixtures forms the maximum boiling azeotrope?
| 1. |
Heptane + Octane |
2. |
Water + Nitric acid |
| 3. |
Ethanol + Water |
4. |
Acetone + Carbon disulphide |
12. For an ideal solution, the correct option is:
1. at constant T and P
2. at constant T and P
3. at constant T and P
4. at constant T and P
13. When 5 g of non-volatile non-electrolyte solute is dissolved in 100 g of a certain solvent, the freezing point of the solvent decreases by 0.25 K. The molar mass of the solute is:
\([\text{K}_f \) of the given solvent
\( =1.2 \mathrm{K ~kg}~ \mathrm{mol}^{-1}] \)
| 1. |
\(242.8 \mathrm{~g} \mathrm{~mol}^{-1}\) |
2. |
\(238.2 \mathrm{~g} \mathrm{~mol}^{-1}\) |
| 3. |
\(241.8 \mathrm{~g} \mathrm{~mol}^{-1}\) |
4. |
\(240.0 \mathrm{~g} \mathrm{~mol}^{-1}\) |
14. Which of the following is true, when
\(5\) moles of liquid
\(\text X\) and
\(10\) moles of liquid
\(\text Y\) make a solution having a vapour pressure of
\(70\) torr?
[Given: The vapour pressures of pure
\(\text X\) and
\(\text Y\) are
\(63\) torr and
\(78\) torr respectively]
| 1. |
The solution is ideal. |
| 2. |
The solution has a volume that is greater than the sum of individual volumes. |
| 3. |
The solution shows positive deviation. |
| 4. |
The solution shows negative deviation. |
15. The Henry's law constant K
H values of three gases (A, B, C) in water are 145, 2 × 10
–5, and 35 kbar, respectively. Determine the order of solubility of these gases in water from highest to lowest:
| 1. |
B > C > A |
2. |
A > C > B |
| 3. |
A > B > C |
4. |
B > A > C |
16. Which of the following aqueous solutions of electrolytes will exhibit the least elevation in boiling point?
| 1. |
0.05 M NaCl |
2. |
0.1 M KCl |
| 3. |
0.1 M MgSO4 |
4. |
0.1 M NaCl |
17. The boiling point of 0.2 mol kg–1 solution of X in water is greater than the equimolal solution of Y in water. The correct statement in this case is:
| 1. |
X is undergoing dissociation in water. |
| 2. |
Molecular mass of X is greater than the molecular mass of Y. |
| 3. |
Molecular mass of X is less than the molecular mass of Y. |
| 4. |
Y is undergoing dissociation in water while X undergoes no change. |
18. The mixture that shows positive deviation from Raoult's law is:
1. Benzene + Toluene
2. Acetone + Chloroform
3. Chloroethane + Bromoethane
4. Ethanol + Acetone
19. At 100 °C the vapour pressure of a solution of 6.5 g of a solute in 100 g water is 732 mm. If K
b = 0.52, the boiling point of this solution will be:
| 1. |
100 oC |
2. |
102 oC |
| 3. |
103 oC |
4. |
101 oC |
20. The following solutions were prepared by dissolving 10 g of glucose (C6H12O6) in 250 ml of water (P1), 10 g of urea (CH4N2O) in 250 ml of water (P2) and 10 g of sucrose (C12H22O11) in 250 ml of water (P3). The decreasing order of osmotic pressures of these solutions is:
| 1. |
P2 > P3 > P1 |
2. |
P3 > P1 > P2 |
| 3. |
P2 > P1 > P3 |
4. |
P1 > P2 > P3 |
21. The plot of osmotic pressure
\((\pi)\) vs concentration
\((mol L^{-1})\) for a solution gives a straight line with slope 25.73 L bar mol
-1. The temperature at which osmotic pressure measurement is done is:
\((\text {Use} \left.\mathrm{R}=0.083 \mathrm{~L} \mathrm{bar} \mathrm{mol}^{-1} \mathrm{~K}^{-1}\right)\)
| 1. |
310°C |
2. |
25.73°C |
| 3. |
12.05 °C |
4. |
37°C |
22. Which of the following aqueous solution will exhibit highest boiling point?
1. \(0.01 \mathrm{M} ~\mathrm{Na}_2 \mathrm{SO}_4 \)
2. \(0.015 \text M~\mathrm{C}_6 \mathrm{H}_{12} \mathrm{O}_6 \)
3. \(0.01 \text {M Urea} \)
4. \(0.01 \mathrm{M} ~\mathrm{KNO}_3\)
23. Given below are some statements about plant growth regulators:
| A. |
All GAs are acidic in nature. |
| B. |
Auxins are antagonists to GAs. |
| C. |
Zeatin was isolated from coconut milk. |
| D. |
Ethylene induces flowering in Mango. |
| E. |
Abscisic acid induces parthenocarpy. |
Choose the correct set of statements from the ones given below:
| 1. |
A,C,D |
2. |
B,E |
| 3. |
A,B,C |
4. |
B,D,E |
24. The difference between spermiogenesis and spermiation is?
| 1. |
In spermiogenesis, spermatids are formed, while in spermiation, spermatozoa are formed. |
| 2. |
In spermiogenesis, spermatozoa are formed, while in spermiation, spermatids are formed. |
| 3. |
In spermiogenesis, spermatozoa from Sertoli cells are released into the cavity of seminiferous tubules, while in spermiation, spermatozoa are formed. |
| 4. |
In spermiogenesis, spermatozoa are formed, while in spermiation, spermatozoa are released from Sertoli cells into the cavity of seminiferous tubules. |
BIOLOGY
25. Signals for parturition originate from:
1. Both placenta as well as fully developed foetus
2. Oxytocin released from maternal pituitary
3. Placenta only
4. Fully developed foetus only
26. In human females, meiosis-II is not completed until?
| 1. |
Puberty |
2. |
Fertilization |
| 3. |
Uterine implantation |
4. |
Birth |
27. Which one of the following plants does not show plasticity?
1. Maize
2. Cotton
3. Coriander
4. Buttercup
28. Dr. F. Went noted that if coleoptile tips were removed and placed on agar for one hour, the agar would produce a bending when placed on one side of freshly - cut coleoptile stumps. What is the significance of this experiment?
| 1. |
It made possible the isolation and exact identification of auxin. |
| 2. |
It is the basis for the quantitative determination of small amounts of growth-promoting substances. |
| 3. |
It supports the hypothesis that IAA is auxin. |
| 4. |
It demonstrates the polar movements of auxins. |
29. Removal of shoot tips is a very useful technique to boost the production of tea leaves. This is because:
| 1. |
Gibberellins prevent bolting and are inactivated. |
| 2. |
Auxins prevent leaf drop at early stages. |
| 3. |
Effect of auxins is removed and the growth of lateral buds is enhanced. |
| 4. |
Gibberellins delay the senescence of leaves. |
30. The typical growth curve in plants is:
1. sigmoid
2. linear
3. stair-steps shaped
4. parabolic
31. Which one of the following is not the function of placenta?
| 1. |
Secretes estrogen |
| 2. |
Facilitates removal of carbon dioxide and waste material from embryo |
| 3. |
Secretes oxytocin during parturition |
| 4. |
Facilitates supply of oxygen and nutrients to embryo |
32. Arrange in a proper sequence the pathway of sperms from testis to outside in human male reproductive system.
| A. |
Vas deferens |
B. |
Rete testis |
| C. |
Seminiferous tubules |
D. |
Vasa efferentia |
| E. |
Urethra |
F. |
Epididymis |
Choose the correct answer from the options given below:
1.
\(\mathrm{F} \rightarrow \mathrm{A} \rightarrow \mathrm{B} \rightarrow \mathrm{D} \rightarrow \mathrm{E} \rightarrow \mathrm{C}\)
2.
\(\mathrm{C} \rightarrow \mathrm{A} \rightarrow \mathrm{B} \rightarrow \mathrm{D} \rightarrow \mathrm{F} \rightarrow \mathrm{E}\)
3.
\(\mathrm{B} \rightarrow \mathrm{A} \rightarrow \mathrm{D} \rightarrow \mathrm{C} \rightarrow \mathrm{F} \rightarrow \mathrm{E}\)
4.
\(\mathrm{C} \rightarrow \mathrm{B} \rightarrow \mathrm{D} \rightarrow \mathrm{F} \rightarrow \mathrm{A} \rightarrow \mathrm{E}\)
33. You are given a tissue with its potential for differentiation in an artificial culture. Which of the following pairs of hormones would you add to the medium to secure shoots as well as roots?
1. IAA and gibberellin
2. Auxin and cytokinin
3. Auxin and abscisic acid
4. Gibberellin & abscisic acid
34. Which of the following statements are true for spermatogenesis but do not hold true for Oogenesis?
| (a) |
It results in the formation of haploid gametes. |
| (b) |
Differentiation of gamete occurs after the completion of meiosis. |
| (c) |
Meiosis occurs continuously in a mitotically dividing stem cell population. |
| (d) |
It is controlled by the Luteinising hormone (LH) and Follicle Stimulating Hormone (FSH) secreted by the anterior pituitary. |
| (e) |
It is initiated at puberty. |
Choose the most appropriate answer from the option given below:
| 1. |
(b), (c), and (e) only |
2. |
(c) and (e) only |
| 3. |
(b) and (c) only |
4. |
(b), (d) and (e) only |
35. In tissue culture experiments, leaf mesophyll cells are put in a culture medium to form callus. This phenomenon may be called as
| 1. |
Senescence |
2. |
Differentiation |
| 3. |
Dedifferentiation |
4. |
Development |
36. How many Y-chromosomes are present in the 2nd polar body in human beings?
37. How many secondary spermatocytes are required to form 400 million spermatozoa?
| 1. |
50 million |
2. |
100 million |
| 3. |
200 million |
4. |
400 million |
38. Match the following concerning the activity/function and the phytohormone involved:
|
Column-I |
|
Column-II |
| (a) |
Fruit ripener |
(i) |
Abscisic acid |
| (b) |
Herbicide |
(ii) |
GA 3 |
| (c) |
Bolting agent |
(iii) |
2, 4-D |
| (d) |
Stress hormone |
(iv) |
Ethephon |
Select the correct option from following:
| Options: |
(a) |
(b) |
(c) |
(d) |
| 1. |
(ii) |
(iii) |
(iv) |
(i) |
| 2. |
(iii) |
(iv) |
(ii) |
(i) |
| 3. |
(iv) |
(iii) |
(ii) |
(i) |
| 4. |
(iv) |
(ii) |
(i) |
(iii) |
39. Identify the human development stage shown below as well as the related right place of its occurrence in a normal pregnant woman, and select the right option for the two together:
|
Developmental stage |
Site of occurrence |
| 1. |
Blastula |
End part of fallopian tube |
| 2. |
Blastocyst |
Uterine wall |
| 3. |
8-celled morula |
Starting point of fallopian tube |
| 4. |
Late morula |
Middle part of fallopian tube |
40. Auxin can be bioassayed by?
| 1. |
Avena coleoptiles curvature |
| 2. |
Hydroponics |
| 3. |
Ptometer |
| 4. |
Lettuce hypocotyl elongation |
41. Which of the following pairs of hormones are not antagonistic (having opposite effects) to each other?
| (a) Insulin |
Glucagon |
| (b) Aldosterone |
Atrial natriuretic factor |
| (c) Relaxin |
Inhibin |
| (d) Parathormone |
Calcitonin |
42. Which of the following statements is not correct?
| 1. |
Phase of cell elongation of plant cells is characterized by increased vacuolation. |
| 2. |
Cells in the meristematic phase of growth exhibit abundant plasmodesmatal connections |
| 3. |
Plant growth is generally determinate |
| 4. |
Plant growth is measurable |
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