MP Police SI (Technical) Mock Test - 4 - MP Police SI MCQ

The average kinetic energy of translation per molecules of the gas is related to temperature by the relationship:

(degree of freedom of a monoatomic gas )

Where kinetic energy, Boltzmann constant and temperature.

According to kinetic energy theory, if we increase the temperature of a gas, it will increase the average kinetic energy of the molecule, which will increase the motion of the molecules.

This increased motion increases the outward pressure of the gas.

The density of water is maximum at 4°C. This is due to the molecule structure of water. Because when the temperature increases, the water molecules start moving away. Which makes it lighter. Also, as the temperature decreases, the water molecules come closer and the density increases. On freezing the density of water decreases and it increases its volume by 9%.

Given:

Initial ratio of apples and oranges = 7 : 5

Let number of apples and oranges

According to the question:

When apples were rotten and when 25 new oranges were bought the new ratio becomes

Number of apples left after rotten apples

The moment of inertia plays the same role in rotational motion as mass plays in linear motion. It is the property of a body due to which it opposes any change in its state of rest or of uniform rotation. The moment of inertia of a particle is-

I = mr², where r = perpendicular distance of the particle from the rotational axis.

Moment of inertia of the disc about an axis passing through center and perpendicular to its plane is given by-

Moment of inertia of the solid sphere about an axis passing through center and perpendicular to its plane is given by-

So, from above it is very clear that the moment of inertia of the disc is greater than the moment of inertia of the solid sphere.

An amphoteric compound is a molecule or ion that can react both as an acid as well as a base. Many metals (such as copper, zinc, tin, lead, aluminium, and beryllium) form amphoteric oxides or hydroxides. Amphoterism depends on the oxidation state of the oxide.

Zinc oxide reacts with both acids and bases:

In acid:

In base:

Aluminium oxide:

with acid:

with base:

Granite is an example of Igneous Rock.

There are mainly three types of Rocks:

• Igneous Rock: These are formed from molten lava which cools off and form these Igneous rocks
• For example: basalt, granite
• Metamorphic rock: These are types of rock in which minerals present in the rock became unstable undergoes metamorphosis (change in nature) under intense heat and pressure, these types of rocks are called metamorphic rocks.
• For example: Marble
• SedimentaryRocks: These are the Rocks found in Earth upper layer crust made up of organic matter and existing particles etc.
• For example: Limestone

Phenolphthalein is often used as an Indicator in Acid-Base titrations. It is colorless in an acid. It turns pink in an Alkalis (basic solutions). Phenolphthalein formula is C₂₀H₁₄O₄.

The mean kinetic energy of a gas per mole is:

.....(1)

The pressure of an ideal gas is given by:

i.e., per unit volume 'P'.

By putting the value of in the above equation.....(1)

we get,

In the circular motion of a particle with constant speed,

The particle repeats its motion after a regular interval of time so it is a periodic motion.

But particle does not oscillate about a fixed point. So, the motion is not simple harmonic.

The circular motion of a particle with constant speed is periodic but not SHM.

The emf of the battery in a thermocouple is doubled. The rate of heat generation at one of the junctions will becomes double.

According to Thomson effect, if the potential applied to the ends of a conductor differs, the temperature difference will develop across the two ends of conductor.

So, if the emf of the battery in a thermocouple is doubled, the rate of heat generation at one of the junctions will become double. 

Given:

The ratio of two numbers = 7 ∶ 5

Let first number = 7x

Second number = 5x

If 1 is subtracted from first number and 3 is subtracted from second number, then ratio =

First number = 7x

= 7 × 7 = 49

Second number = 5x

= 5 × 7 = 35

∴ Second number is 35.

As given in the question, we know,

The magnitude of the displacement from the initial position to the final position is a straight line.

• Displacement: It is the distance between an object's initial position and its final position.
• It is usually measured or defined along a straight line.
• Displacement is a vector quantity and thus has both magnitude and direction.
• The magnitude of displacement is equal to the linear distance between initial and final positions along the straight line joining two positions i.e. the shortest distance between initial and final positions.
• This value may or may not be equal to the distance along the actual path of motion.

From the first law of thermodynamics,

In adibatic process no change of heat takes place.

So,

Since, the gas is expanding, the work is done by the gas.

Hence internal energy of the system decreases.

Again,

Since here is negative, so .

So temperature will also decrease.

Equation of motion: The mathematical equations used to find the final velocity, displacements, time, etc of a moving object without considering force acting on it are called equations of motion. These equations are only valid when the acceleration of the body is constant and they move on a straight line.

There are three equations of motion:

V = u + at

V² = u² + 2 a S

S = ut +

Where, V = final velocity, u = initial velocity, s = distance traveled by the body under motion, a = acceleration of body under motion, and t = time taken by the body under motion.

For constant linear acceleration:

S = ut +

Here S is position and t is time:

So the graph will be a parabolic curve which may be an upward parabola or downward parabola as shown in the diagram.

Carrier ions like sodium ions facilitate the absorption of substances like amino acids and glucose.

Glucose and amino acids are co-transported along with sodium ions in the intestinal epithelium. The Na/Glucose co-transporter (SGLT ) facilitates glucose-coupled sodium absorption while amino acid-coupled sodium absorption occurs through the epithelial cells with the help of sodium/amino acid co-transporters. There are specific co-transporters for different classes of amino acids.

Above neutral temperature, thermo e.m.f. in a thermocouple decreases with rise in temperature. The temperature of the hot junction, at which the thermo emf produced is maximum, is called neutral temperature. When the temperature is increased further the neutral point, thermo e.m.f. starts decreasing and becomes zero. On heating further, the direction of thermo emf is reversed as what shown in the graph. It is due to the number densities and rates of diffusion of electrons in the two metals that are reversed.

Given:

Ratio of efficiency

Ratio of efficiency B :

Total time taken by A, B and C to complete the work days

Calculation:

Ratio of Efficiency of and

Ratio of Efficiency of B and C

By equaling the value of , we can find the ratio of efficiency of and

Total work

Total work units

Combined efficiency of and units/ day

Time taken by B and c to complete the work days

The time taken by and to complete the given work is 13 days.

Sulfuric acid is the chemical name of 'oil of vitriol’. Sulfuric acid is a dense, colorless, oily, corrosive liquid. It is prepared industrially by the reaction of water with sulfur trioxide. Vitriol is any of certain hydrated sulfates or sulfuric acid.

Given:

7 : 341 ∷ 11 : ?

The logic followed is

7 : 341 → 7 : 7³ - 2

Similarly,

11 : 1329 → 11 : 11³ - 2

Isothermal Titration Calorimeter is used to study the binding of small molecules with larger macromolecules.

Differential Scanning Calorimeter is used to measure the difference between the amount of heat required for increasing the temperature of a sample and reference.

In Calvet-type Calorimeter, detection is based on a three-dimensional fluxmeter sensor.

Bomb Calorimeter is used to measure the internal energy change between reactants and products.

Cinnabar (HgS) is an ore of Mercury. Cinnabar is a toxic mercury sulfide mineral of mercury with a chemical composition of HgS. Its appearance is bright scarlet to brick-red color. Because of its color, it was used as jewelry and ornaments for thousands of years in many parts of the world.

The steam transfers this thermal energy to the food that is being cooked. This heat is used up by the food to get cooked properly. Thus, in a pressure cooker since the boiling point increases, the steam has greater thermal energy which it can transfer to the food and hence the cooking is faster.

According to Sommerfeld, an electron revolving around a centrally positively charged nucleus is so influenced by the charges that it is set into motion in elliptical orbits.

The nucleus is situated at one of the foci.

An ellipse contains a major and a minor axis of different lengths.

The electron moving has its angular momentum which is quantized.

The value of the angular momentum is given by:

where k is an integer known as the azimuthal quantum number.

The length of the major axis by minor axis was given by the ratio and k can have values 1 to n.

Hence, the angular momentum is given by

...(i)

Let cover the distance of the child m.

Current height of hair from the ground

(Assumed) ...(ii)

From relation (i) and (ii)

Sodium chloride is an ionic compound consisting of a metal (sodium) and a non-metal (chlorine). Water, carbon dioxide, and hydrogen peroxide are all compounds containing non-metal elements.

Krypton is a chemical element with symbol Kr and atomic number 36.

It belongs to group 18 (noble gas) elements.

Its electronic configuration (electrons per shell) 2 (K), 8(L), 18(M), 8(N) and electronic configuration (electrons per sub-shell) is [Ar] 3d¹⁰ 4s² 4p⁶.

Acetic acid is an organic compound classified as carboxylic acid with the chemical formula CH₃COOH.

It is the second simplest carboxylic acid (has a carboxyl (-COOH) group present in its chemical structure)

Organic Acid examples - Acetic Acid, Lactic Acid, Oxalic Acid, Uric Acid, Malic Acid, Formic Acid.

Inorganic acids are compounds which comprise hydrogen and non-metallic elements or their groups, e.g. Hydrochloric acid (HCL), Nitric acid (HNO₃), Sulphuric acid (H₂SO₄), etc.

Copper metal when exposed to air turns green in colour due to corrosion. When the copper vessel is exposed to air in the rainy season, the metal reacts with gases and moisture and atmospheric gases to form a mixture of copper carbonate and copper hydroxide. This gives a green colour to the surface of copper metal.

The reaction is as follows: