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m₁ = 0.1 kg, m₂ = ?

u₂ = 0, v₁ = -1/3 u₁

v₁ = {(m₁ + m₂)u₁}/{m₁ + m₂} + {2m₁v₂}/{m₁ + m₂}

or, -u₁/3 = {(0.1 - m₂)u₁}/{0.1 + m₂} + 0

or, -1/3 = {0.1 - m₂}/{0.1 + m₂}

or, -0.3 + 3m₂ = 0.1 + m₂

or, 2m₂ = 0.1 + 0.3 = 0.4

or, m₂ = 0.4/2 = 0.2 kg

1s² ,2s² ,2p⁶ ,3s² ,3p⁶ ,4s² ,3d¹⁰,4p⁶ = 36 electrons can accommodated.

Given, m = 1000 kg

v = 3000 km/hr = \(\frac{3000\times1000}{60\times60}\)m/sec

= 833.33 m/sec

According to de-Broglie equation,

\(\lambda=\frac{h}{mv}\)

= \(\frac{6.626\times10^{-34}Js}{1000\times833.33m/sec}\)

= 7.951 × 10⁻⁴⁰m

For particle A

\(\lambda_A\) = 5 x 10^-10 m

Frequency v_A = \(\frac{c}{\lambda_A}\) = \(\frac{3\times10^8\,m/s}{5\times10^{-10}m}\) = 0.6 x 10¹⁸

= 6.0 × 10¹⁷ sec⁻¹

Wave number \(\bar{v_A}\) = \(\frac{1}{\lambda_A}\) ⁼ \(\frac{1}{5\times10^{-10}m}\)

= 0.2 × 10¹⁰ m⁻¹

= 2.0 × 10⁹ m⁻¹

= 2.0 × 10⁷ cm⁻¹

Energy E_A = \(\frac{hc}{\lambda_A}\) = hv_A

= 6.626 × 10⁻³⁴js × 6.0 × 10¹⁷ s⁻¹

= 39.756 × 10⁻¹⁷ J

= 3.9756 × 10⁻¹⁶J

For Particle B

\(\lambda_B\) = 10 x 10^-10 m

Frequency v_B = \(\frac{c}{\lambda_B}\) = \(\frac{3\times10^8m/sec}{10\times10^{-10}m}\) = 0.3 x 10¹⁸

= 3.0 × 10¹⁷ sec⁻¹

Wave number \(\bar{v_B}\) = \(\frac{1}{\lambda_B}\) = \(\frac{1}{10\times10^{-10}m}\)

= 0.1 × 10⁻¹⁰ m⁻¹

= 1.0 × 10⁹ m⁻¹

= 1.0 × 10⁷ cm⁻¹

Energy E_B = \(\frac{hc}{\lambda_B}\) = hv_B = 6.626 × 10⁻³⁴Js x 3.0 × 10¹⁷ s⁻¹

= 19.878 × 10⁻¹⁷ J

= 1.9878 × 10⁻¹⁶J

Since the energy of particle A is more than energy of particle B, so particle A has more penetrating power.

It has symmetrical electron density as well as greater exchange energy.

(i) Mass of electron (m) = 9.1 × 10⁻³¹ Kg

Velocity of light (v) = 3.0 × 10⁸ m/sec

\(\therefore\) According to de-Broglie equation,

\(\lambda\) = \(\frac{h}{mv}\)

= \(\frac{6.626\times10^{-34}Js}{9.1\times10^{-31}kg\times3.0\times10^8m/s}\)

(ii) Angular momentum of electron is 5^th shell

J = \(\frac{nh}{2\pi}\)

= \(\frac{5\times6.626\times10^{-34}Jsec}{2\times3.14}\)

= \(\frac{33.13\times10^{-34}}{6.28}\)

= 5.275 × 10⁻³⁴ kg m² /sec

Answer is (i) 0° (ii) 90°

UAG is a termination codon and so at point protein synthesis will get stopped.

The Correct option is  D. 2800 Cal

1. (i) The Bengal Tiger would be seen roaming around.

2. (iii) The beast is yellow with black stripes on its body.

3. (ii) The poetic device used in line 1 is alliteration.

4. (i) roaming round

5. (iv) Or if some time when roaming round..

C. not understood by the poet.

A. somebody oiled the motor.

D. Both ‘B’ and ‘C’.

The talking fan was being troubled by lack of oiling on its various parts, disabling him from functioning smoothly.

Yes, I have a metallic fan in my house.

Mechanic: How are you doing ?

Fan: Not well, suffering from the heat and friction. Can you do something?

Mechanic: I will try to help you. Let me check you first.

Fan: Yes, sure. Please do your best and help me.

Mechanic: I will. Please wait, let me finish my job.

Fan: Go ahead.
(After repairing)

Mechanic: Now, all okay ?

Fan: yes, Now, I am feeling well. It feels so good.

Mechanic: That is great. Remember me when you are in trouble.

The talking fan seemed to be very noisily and continuously chattering. Perhaps, besides the poet the others could hear it too. Though the poet was curious, she never made an attempt to understand what the talking fan said. or perhaps before she could, the message was decoded by the person who attended to the needs of the fan by oiling its motor.

J. J. Thomson 

Correct answer is (d) Only prevention helps as there is no cure for AIDS.

Correct answer is (a) Western blot

All possible Blood groups – A, B, AB, O 

Father A     I^Ao    x     Mother I^Bo 

Children- I^A o (blood group A) , I^B o (blood group B) , I^A I^B (blood group AB), ii (blood group O)

Correct option is c) Viviparous

Correct option is c) Conjugation

Amoeba, Vorticella - reproduce by cell division

Correct option: (B) Protista

1. The mantle is semi-solid. 

2. It is rich in iron and magnesium. 

3. This layer is about 2,850 km wide. Its average density is between 3.5 and 5.5.

Correct option is A) Rs. 10000/-

B) Himachal Pradesh

Rocks are used in construction industries. 

True.

Inner core 

1. Inner most layer of the Earth. 

2. Solid ball of iron and nickel. 

3. Has a radius of 1220 km. 

Outer core 

1. Surrounds the inner core. 

2. Made of liquid iron and nickel. 

3. Has a radius of Approx. 2300 km.

False. 

Correct : Minerals are inorganic substances.

1. Granite is an example of intrusive igneous rocks. 

2. A category of rock which is formed by the alteration of the parent rock due to heat and pressure is called: metamorphic rocks. 

3. Conglomerate is an example of sedimentary rocks.

4. Sedimentary rocks are formed from sediments accumulated over long periods. 

5. Sedimentary rock such as limestone change into marble.

Igneous rocks are formed by the cooling and solidification of molten rock called magma, which lies beneath the earth’s crust. These rocks are crystalline and compact. They do not occur in layers or strata nor do they contain fossils. The cooling and solidification may take place at some depth within the earth or at the surface. The molten magma that reaches the surface of the earth is called lava. Thus, there are two types of igneous rocks classified on the basis of their place of origin – intrusive rocks, which form at some depth in the earth’s crust and extrusive rocks which form at or near the surface of the earth.

Sedimentary rocks are formed from sediments accumulated over long periods, usually under water on the floors of shallow seas, rivers and lakes. These rocks are non-crystalline and are found in layers or strata and contain fossils. Conglomerate, sandstone, limestone, chalk, calcite, and dolomite are example of sedimentary rocks. 

Sedimentary rocks are divided into various types depending on how they are formed. 

1. Mechanically formed sedimentary rocks : These rocks have been formed by the accumulation of materials derived from other rocks which have been cemented together. Examples – conglomerate (rounded fragments), breccia (angular fragments). 

2. Organically formed sedimentary rocks : These rocks have been formed by the accumulation of the remains of living organisms. Examples – calcareous rocks such as limestone and chalk. 

3. Chemically formed sedimentary rocks: These rocks have been commonly formed by the process of evaporation of water containing salts in solution. 

Examples – rock salt, gypsum, potash, nitrates, calcite, and dolomite.

Minerals — Rocks 

Gneiss — Metamorphic 

Coal — Sedimentary 

Shale — Sedimentary 

Granite — Igneous 

Gypsum — Sedimentary 

Marble — Metamorphic 

Sandstone — Sedimentary 

Basalt — Igneous 

Limestone — Sedimentary 

Schist — Metamorphic

Igneous and sedimentary rocks can change into metamorphic rocks. 

True.

Instrusive rocks, which form large crystals at some depth in the earth’s crust example : granite, basalt.

False. 

Correct : Basalt is an example of an extrusive igneous rock.

Bombax (silk cotton) is a good example of multifoliate compound leaf.

To prevent the incidence of infectious diseases in school following precautions can be taken:

(i) Avoid contact of students suffering from air borne diseases like common cold, cough, eye, flu, etc.

(ii) By checking the availability of clean drinking water in school.

(iii) Clean surroundings in school will not allow the growth and multiplication of vectors.

(iv) Starting childhood immunisation programme in schools.

Let the number be x

∴ 1 + x, 5 + x, 10 + x, 15 + x are in proportion

∴ (5 + x) (10 + x) = (1 + x) (15 + x) 

50 + 10x + 5x + x² = 15 + 15x + x + x² 

⇒ x= 35

Cement: Chip = Chip : Sand

∴ (Chip)² = Cement × Sand

∴ (Chip)² = 144 × 225 

Chip = 12× 15.= 180

∴ Number of bags of chips is 180.

C. Telangana

Correct option is (c) 1897 A.D.

Correct option is (d) 1900 A.D.

Guru Gobind Singh Ji had also adopted the royal symbols like his grandfather Guru Hargobind Ji. Guru Sahib sat on a raised seat and also adorned his headgear with a crest. Guru Sahib also started calling meetings of the Sikhs under highly decorated and costly canopies. Guru Sahib also kept elephants and horses of the best breeds. Guru Sahib regularly went on hunting expeditions. Guru Sahib had also built Ranjit Nagara (the victory drum).

The childhood name of Guru Gobind Singh Ji was Gobind Dass Ji.

Guru Gobind Singh Ji played the game of mock battles. Guru Sahib also played the game of justice in a mock court along with his playmates. Guru Sahib also organised the wrestling bouts and-races during his childhood at Patna.

1. By overgrazing
2. By deforestation.

Reshma and her mother put breadcrumbs, nuts, fruits and grains before the bird to feed it.

The shoveller migrates from the cold regions of Russia.