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Temp is 20°    Relative humidity = 100%
So the air is saturated at 20°C
Dew point is the temperature at which SVP is equal to present vapour pressure
So 20°C is the dew point.

Temp = 20°C        Dew point = 10°C
The place is saturated at 10°C
Even if the temp drop dew point remains unaffected.
The air has V.P. which is the saturation VP at 10°C. It (SVP) does not change on temp.

Given
SVP at the dew point = 8.9 mm    SVP at room temp = 17.5 mm
Dew point = 10°C as at this temp. the condensation starts
Room temp = 20°C
RH =SVP at dew point/SVP at room temp
=8.9/17.5
= 0.508 ≈ 51%

(i) Awareness about new technology, concern for energy conservation,decrease of noise pollution and air pollution i.e concern for environment.

(ii) When a superconductor is cooled in a magnetic field below its critical temperature the magnetic field lines are expelled showing diamagnetic property.this is called meissner effect.

(b) must be unsaturated 

The correct answer is (c) K₁ > K₂ 

(i) Low pressure 

(ii) High temperature.

An ideal gas is one whose molecules have zero volume and no mutual force between them. At low pressure, the volume of a gas is large and so the volume occupied by the molecules is negligible in comparison to the volume of the gas. At high temperature, the molecules have large velocities and so the intermolecular force has no influence on their motion. Hence at low pressure and high temperature, the behaviour of real gases approach the ideal gas behaviour.

Maxwell's electromagnetic theory:

i. Maxwell postulated the existence of electromagnetic waves.

ii. According to Maxwell, light waves are electromagnetic waves which require no material medium for their propagation. So light can travel through a medium where there is no atmosphere i.e., in vacuum.

iii. Thus, Maxwell established relationship between electricity and magnetism.

iv. Electromagnetic nature of light was experimentally proved by Maxwell in 1873.

As water, temperature increases, the amount of dissolved oxygen decreases. So thermal pollution often reduces the aquatic life diversity in water.

(a) Air pollution

Answer is (c)

∵ tan^-1(- x)= – tan^-1 x

tan^-1 (-1) = – tan^-1(1)

Let tan^-11 = θ

∴ tan θ = 1

⇒ tan θ = tan 45°

∴ θ = 45°

∴ tan^-1(-1) = – 45°

For an uninterrupted motion of a body, an additional external force is required for overcoming opposing/resistive forces.

Dr’s of AB = (3, 3, 4), 

Direction CD = (6,6, 8) 

\(\frac{3}{6} = \frac{3}{6} = \frac{4}{8}\)

Dr’s are proportional. 

Hence they are parallel 

∴ Angle between them = 0°

Here Dr’s of the lines are (-3, 2k, 2) and (3k, 1,-5) . 

since the lines are perpendicular -3 x 3k + 2k x 1 x 2 x -5 = 0

-9k + 2k - 10 = 0

⇒ - 7k = 10 ⇒ k = \(\frac{-10}{7}\)

Directions of tines are (-3, -2K, 2) and (K, 1,5) 

since lines are ⊥^r a₁b₁ + a₂b₂ + a₃b₃ = 0 

-3 x K – 2K x 1 + 2 x 5 = 0 

-3K – 2K + 10 = 0, 

-5K = -10, K = 2

The least number of planes that can enclose a solid is 4. 

The name of the solid is Tetrahedron.

Yes, I would like to hear but I will not believe this because I don't believe in astrology and no one knows our future. One more reason is our future is based on our actions of today. So, future can change.

No, I do not like to hear predictions about my future. I do not believe that any person can foretell what is going to happen in someone’s life. Astrology is just a way of making money from gullible people. I believe that one must work hard and be a good human being if one wants to be successful in life.

1. light × darkness 

2. noise × silence 

3. few × many 

4. dead × alive

बहुपद kr⁴ + 3x³ + 6 को (x – 2) से भाग किया जाता है तो x – 2 = 0 या x = 2 रखने पर शेषफल

= k(2)⁴ + 3(2)³ + 6

= 16k + 24 + 6 = 16k + 30

और जब 2x³ + 17x + k को (x – 2) से भाग किया जाता है तो x – 2 = 0 या x = 2 रखने पर

शेषफल = 2(2)³ + 17(2) + k = 2 × 8 + 34 + k = 50 + k

प्रश्नानुसार,

16k + 30 = 2(50 + k)

16k + 30 = 100 + 2k

16k – 2k = 100 – 30

14k = 70

k = 70/14 = 5

Correct answer is

% of K₂CO₃ = 96% 

% of Li₂CO₃ = 4%

Correct answer is 

% of KOH = 35%

% of Ca(OH)₂ = 65%

If a simple pendulum is pulled aside and released, it oscillates freely about its equilibrium position at its natural frequency which is inversely proportional to the square root of its length and directly proportional to the square root of the acceleration of gravity at the place. These oscillations, called as free oscillations, are periodic and tautochronous if the displacement of its bob is small and the dissipative forces can be ignored.

When a sinusoidal wave travels through a medium the minimum distance between any two particles of the medium which always have the same speed is \(\cfrac{\lambda}{2}\).

Such particles are opposite in phase, i.e., their instantaneous velocities are opposite in direction.

[Note : The minimum distance between any two particles which have the same velocity is λ]

When a guitar string is plucked, two wave pulses of the same amplitude, frequency and phase move out from that point towards the fixed ends of the string where they get reflected. For certain ratios of wavelength to length of the string, these reflected pulses moving towards each other will meet in phase to form standing waves on the string. The vibrations of the string cause the air molecules to oscillate, forming sound waves that radiate away from the string. The frequency of the sound waves is equal to the frequency of the vibrating string. In general, the wavelengths of the sound waves and the waves on the string are different because their speeds in the two mediums are not the same.

Data : L₁ = 80 cm n₁ = 112 Hz, n₂ = 160 Hz According to the law of length, n₁L₁ = n₂L₂ . 

∴ The vibrating length to produce the fundamental frequency of 160 Hz,

L₂ = \(\frac{n_1L_1}{n_2}\) = \(\frac{112(80)}{160}\) = 56 cm

The quality or timbre of the sound of a sitar is different from that of a guitar. The number of overtones or partials present and their relative intensities determine the quality or timbre of the sound of a musical instrument. Therefore, even if the pitch and the loudness are the same, the notes of a sitar and a guitar sound different.

Answer is (D) -273° C

Answer is (D) 3/2 kT

If the decay of neutron (inside the nucleus) into proton and electron is according to the given scheme, then the available energy in the decay must be carried out by the electron coming out of the nucleus and therefore the emitted electron should always possess a fixed value of K.E. However, the graph shows that the emitted electron can have any value of energy between zero and maximum value. Therefore, the given decay mode cannot account for the abserved continuous energy spectrum in the β-decay.

Two characteristics which a source of energy must have are as listed below:

i. It should provide an adequate amount of useful energy at a steady rate over a longer period of time.

ii. It should be safe and convenient to use and economical.

The quantum numbers signify the probability of finding electron in the space around nucleus.

q = ne or n = q/e

= {-1.282 x 10^-18}/{1.6 x 10^-19} = 8

The maximum value of / for n = 4 is 3.

l takes values from 0 to n – 1. So l has 4 values for n = 4. Those values are 0, 1,2, 3.

Orbitals in the sub-shell belonging to same shell possess same energy but they differ in their orientations.

Ionisation potential (energy) for the ground state H atom = 2.18 x 10^-18 J

The nuclear charge of helium is 2. Therefore,

E_He+ → He²⁺ = Z² x E_H→H+

Energy required for removing one electron from

He⁺ = 2² x (2.18 x 10^-18 J)

= 4 x 2.18 x 10^-18 J

= 8.72 x 10^-18 J

Length of the scale = 20 cm = 20 x 10⁷ nm = 2 x 10⁸ nm

Diameter of the carbon atom = 0.15 nm

Number of carbon atoms which can be placed side by side across the scale = {(2 x 10⁸ nm)}/{0.15 nm} = 1.33 x 10⁹

They are arranged in pair in Is orbital and the electronic configuration is 1s².

According to the law of conservation of energy, energy can neither be created nor can it be destroyed. It only changes from one form to another.

When a coolie carries a load while moving on a ground, the displacement is in the horizontal direction while the force of gravity acts vertically downward. So the work done by the force of gravity is zero.

Motion of a simple pendulum and motion of a freely falling body.

According to the law of conservation of mechanical energy, whenever there is an interchange between the potential energy and kinetic energy, the total mechanical energy (i.e., the sum of kinetic energy K and potential energy U) remains constant i.e., K + U = constant when there are no frictional forces.

Mechanical energy is conserved only when there are no frictional forces for a given system (i.e. between body and air). Thus, conservation of mechanical energy is strictly valid only in vacuum, where friction due to air is absent.

Kinetic energy.

Chemical to electrical

Hint: When current is drawn from an electric cell, the chemical energy stored in it changes into electrical energy.

Correct option is a. O₂^-

The potential energy of water changes into K.E. and then into electrical energy.

Correct option is d. sp² –sp³

Correct option is a. O₂⁺ is paramagnetic and bond order greater than O₂