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UPSC Civil services Entrance exams General Studies test # General Science System of Particles and Rotational Motion Prepare / Learn

Q1. The moment of inertia of a solid sphere of density ρ and radius R is given by

A. 176105ρR3

B. 176105ρR5

C. 105176ρR2

D. 176105ρR2

Answer : Option B
Explaination / Solution:

$\begin{aligned} I = \frac{2}{5} (M R^{2}) \\ = \frac{2}{5} [(\frac{4}{3} π R^{3}) . ρ . R^{2}] \\ = \frac{2}{5} [(\frac{4}{3} \frac{22}{7} R^{3}) . ρ . R^{2}] \end{aligned}$ As Mass = Density x Volume of Sphere

$= \frac{176}{105} ρ R^{5}$

UPSC Civil services Entrance exams General Studies test # General Science Mechanical Properties of Fluids Prepare / Learn

Q2. The unit of surface tension in S.I units is given by

A. Newtons per

m e t e r^{2}

B. dynes per cm

C. Newtons per

m e t e r^{2}

D. dynes per

c m^{2}

Answer : Option C
Explaination / Solution:

surface tension is measured in force per unit length. The S.I unit is newton per meter but the CGS unit dyne per centimeter is also used.

UPSC Civil services Entrance exams General Studies test # General Science Physical World Prepare / Learn

Q3. The fundamental force with the shortest range is

A. Gravitational Force

B. Strong Nuclear Force

C. Weak Nuclear Force

D. Electromagnetic Force

Answer : Option C
Explaination / Solution:

There are four fundamental forces in nature which are Gravitational force, Strong force, Weak force and Electromagnetic force.

Gravitational Force: This force is the weakest but has an infinite range.

Strong Nuclear force: This force holds the nucleus of an atom together. It is the strongest of the forces. It acts over a range of about 10-15m.

Weak Nuclear Force: This force is weak compared to the strong force as the name implies and has the shortest

range of 10-18m

Electromagnetic Force: This is the second strongest force after the strong force and it acts on electrically charged particles. It has strength of 1/137 relative to the strong force but has an infinite range.

UPSC Civil services Entrance exams General Studies test # General Science Structural Organisation in Animals Prepare / Learn

Q4. How many times do nymphs moult to reach the adult form of cockroach?

A. 10

B. 11

C. 12

D. 13

Answer : Option D
Explaination / Solution:

When the ootheca hatches, tiny nymph come out. It grows by undergoing moulting about 13 times to reach the adult form.

UPSC Civil services Entrance exams General Studies test # General Science Biological Classification Prepare / Learn

Q5. Which possess acellular structure?

A. Bacteriophage

B. Fungi

C. Diatom

D. Bacterium

Answer : Option A
Explaination / Solution:

A bacteriophage is a virus that infects and replicates within a bacterium. Except bacteriophage, all possess cellular structure.

UPSC Civil services Entrance exams General Studies test # General Science Hydrocarbons Prepare / Learn

Q6. The reagent(s) for the following conversion, is/are

A. Zn/CH3OH

B. aqueous KOH followed by

NaN H_{2}

C. Alcoholic KOH followed by

N a N H_{2}

D. alcoholic KOH

Answer : Option C
Explaination / Solution:

Alcoholic KOH followed by

N a N H_{2}

is used. Both are bases.

N a N H_{2}

is better base than alc.KOH.

UPSC Civil services Entrance exams General Studies test # General Science Equilibrium Prepare / Learn

Q7. It has been found that the pH of a 0.01M solution of an organic acid is 4.15.Calculate the concentration of the anion, the ionization constant of the acid and its

p K_{a}

K_{a} = 5 .0 1 X

10^{- 7}

[A^{-}]

= 7 .0 8 X

10^{- 5}

and

p K_{a} = 5.3007

K_{a} = 5 .0 1 X

10^{- 7}

[A^{-}]

= 7 . 99 X

10^{- 5}

and

p K_{a} = 7.5009

K_{a} = 5 .0 1 X

10^{- 7}

[A^{-}]

= 7 . 39 X

10^{- 5}

and

p K_{a} = 6.3001

K_{a} = 5 .0 1 X

10^{- 7}

[A^{-}]

= 7 . 39 X

10^{- 5}

and

p K_{a} = 6.3001

Answer : Option D
Explaination / Solution:

Ka =

C α^{2}

and pH=-log(Cα) and pKa=-logKa

UPSC Civil services Entrance exams General Studies test # General Science Economic Reforms Since 1991 Prepare / Learn

Q8. Inwards foreign direct investment is useful because

A. All

B. Brings in modern technology

C. Brings in foreign exchange

D. Brings in management expertise

Answer : Option A
Explaination / Solution:

Inwards foreign direct investment brings in foreign exchange, management expertise as well as modern technology.

UPSC Civil services Entrance exams General Studies test # General Science Balance of Payments Prepare / Learn

Q9. Balance of capital account includes

A. lending to abroad only

B. Borrowings from and lending to abroad

C. Borrowings from abroad Only

D. None of the above

Answer : Option B
Explaination / Solution:
No Explaination.

UPSC Civil services Entrance exams General Studies test # General Science Measures of Dispersion Prepare / Learn

Q10. Lorenz Curve : Used this technique to show

A. equality of wealth and income of a group of people

B. inequality of wealth and income of a group of people

C. unemployment of a group of people

D. employment of a group of people

Answer : Option B
Explaination / Solution:

The Lorenz curve is a graphical representation of the distribution of income or of wealth. It was developed by Max O Lorenz in 1905 for representing inequality of the wealth distribution.