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

and compounds cannot exist together in solution as:

Neutral salt

If acid and base present in same solution then they would react and is a slightly acidic compound, while is a base. H-atom of replace by base, i.e., , give and water.

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 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.

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

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 reactivity of metal depends upon its ability to form a cation. So, metal has a more electropositive nature and also more reactivity.

In the periodic table, moving from left to right the reactivity of the element decreases, and moving from top to bottom reactivity increases.

Arranging the elements from the order of reactivity:

K>Na>Ca>Mg>Al>Zn>Fe>Pb>Cu>Ag>Au

So, the correct order of reactivity is Na>Mg>Zn>Fe.

Given that the resistance remains the same,

Let us assume that initially, the resistance of wire be ,

If the length of wire is increased 4 times and the radius is increased times then,

It is given that resistance remains unchanged,

Radius becomes 2 times.

It is given that,

u = 0 , s = 500 m and g = 10

Time taken to reach the floor (in seconds) can be calculated by using the equation of kinematics

⇒ s = ut +

⇒ 500 = × 10 × t²

⇒ t² = = 100 sec

⇒ t = 10 sec

Ohm's law is universally applicable for all conducting elements is incorrect statement.

• The slope of voltage versus current graph .
• Therefore, the slope of the voltage vs current graph is resistance.
• The most fundamental law in electricity is Ohm's law as it governs the relationship between the basic parameters of electricity - current, voltage, and resistance.
• A semiconductor is a conducting material but does not obey Ohm's law. Therefore, not all conducting materials obey Ohm's law.

The elements in the Lanthanide series are La, Ce, Pr, Nd, Pm, Sm, Eu, Gd, Tb, Dy, Ho, Er, Tm, Yb and Lu. In Lanthanides (Ce−Lu), the atomic and ionic radii decrease steadily. This steady decrease in atomic and ionic radii is known as Lanthanide Contraction. The contraction is due to the fact that f−orbitals are not capable of providing effective shielding for the valence electrons from the nuclear attraction.

The raw material that is used in the manufacturing of Portland cement mainly consists of lime, silica, alumina and iron oxide.

Other materials which are used to manufacture Portland Cement include- chalk, shale, clay, slate etc.

From the diagram, the to process is an isobaric spread, which is only in option (A). From to the temperature is synchronous with a decrease in temperature and pressure. from is an isometric compression.

Since we need temperature in fahrenheit and celsius to be equal.

Now, let

As we know,

Therefore,

The numerical value on Celsius and Fahrenheit scales become equal -40.

Circumference of circle

The circumference of the circle

m

m

Distance travelled

Diameter of the circle

m

m

Displacement

Distance traveled: Displacement

After completing the gold foil experiment, Rutherford concluded that the size of the nucleus is very small compared to the size of the atom because one out of every 12000 alpha particles deflected back after hitting the gold foil.

Rutherford’s model says that an atom has a positively charged nucleus. So, the sub-atomic particle present in the nucleus of an atom is a proton (which carries a positive charge).

Conclusion of Rutherford Model

Most of the space inside the atom is empty because most of the α-particles passed through the gold foil without getting deflected.

Very few particles were deflected from their path, indicating that the positive charge of the atom occupies very little space.

A very small fraction of α-particles were deflected by 180°, indicating that all the positive charge and mass of the gold atom were concentrated in a very small volume within the atom.

The compound shown is the structure of Ammonia. Ammonia has a trigonal pyramidal structure due to the three covalent bonds and one lone pair of electrons.

The enormous diversity of protein molecules is due mainly to the diversity of amino acid sequences within the protein molecule. Proteins are building blocks of the body. The proteins are made up of amino acids. The amino acids are linked together by peptide bonds to form a protein. The amino acids consist of amine group made up of nitrogen and hydrogen and the carboxyl group at the end and a side chain of R group which is specific to a particular amino acid. This specific group brings a variability to the proteins. If R group is H it is glycine while if it is , it is alanine. The sequence of amino acids determines the protein.

Ohm's Law: The amount of electric current through a metal conductor, at a constant temperature, in a circuit is proportional to the voltage across the conductor and can be described by

Where is the current through the conductor, is the voltage across the conductor and is the resistance of the conductor.

The gradient of the straight-line graph is related to the resistance of the conductor as

This can be rearranged in terms of the constant resistance as:

So, the slope of the graph represents a resistor in a circuit.

Pitchblende is a Uranium rich radioactive mineral used as a fuel in nuclear power stations.

• It contains radium and is largely made up of Uranium dioxide (UO₂).
• Due to radioactive decay, it also contains some traces of Lead, Thorium, and other such rare earth elements.
• Bauxite is primarily composed of aluminum oxide compounds (alumina), silica, iron oxides, and titanium dioxide is a mineral formed by the laterite soil.
• Quartz is a chemical with one part of Silicon and two parts of Oxygen.
• Feldspar is rock-forming minerals making up to 41% of the Earth’s continental crust.

Given:

a = 11 cm, b = 60 cm and c = 61 cm

According to the cosine law of triangles, for a triangle ABC with sides a, b, and c, as shown below,

Now,

∴ Required sum of cosines

An adiabatic expansion has less work done and no heat flow, thereby a lower internal energy comparing to an isothermal expansion which has both heat flow and work done. For an adiabatically expanding ideal monatomic gas which does work on its environment (W is positive), internal energy of the gas should decrease.

The temperature at which a liquid changes into vapor after receiving heat is called boiling point. The boiling point of a liquid is the temperature at which the vapor pressure within the liquid is equal to the atmospheric pressure exerted on the surface of the liquid. It varies with air pressure and as air pressure increases, a higher temperature is required for the liquid to boil.

According to the first law of thermodynamics “heat always flows from higher temperature to lower temperature until they attain thermal equilibrium“ but this law holds for convection and conduction only in radiation the energy can transfer without any temperature difference and it is transferred in a form of E.M wave.

For example heat from the sun can’t reach earth directly through convection or conduction since there is no medium present, it’s been transferred through radiation since E.M wave doesn’t require a medium for propagation and neither it depends on the temperature difference between two objects.

As we know, in aryl halides there is a partial double bond character between - bond due to the resonance effect of which has lone pair of electrons.
Thus, it cannot be cleaved. and -hexyl chloride have covalent bonds, thus, cannot be broken. Now, benzyl bromide (which is a halide), the bond breaks easily as the carbocation formed is resonance stabilised and thus, it reacts with alc. at room temperature and brown precipitates of are formed.

Given:

Temperature of a room

Temperature in Kelvin Temperature in

We know that:

Temp

Temperature in

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.

The theorem of 'equipartition of energy' states that at the thermal equilibrium of any dynamical system, the energy is equally distributed amongst its various degrees of freedom, and the energy associated with each degree freedom per molecule =

And, The kinetic energy of a molecule having degrees of freedom is given by

Where Boltzmann constant, and temperature, =degrees of freedom

The energy of one gram mole of the gas will be given by

We know applying this in the above equation

The total internal energy of one gram mole of the monoatomic gas is

(As degree of freedom of monoatomic gas is )

Kirchhoff's first rule of any junction of several circuit elements in an electric circuit is based on the law of conservation of charge.

Kirchoff’s first law: This law is also known as junction rule or current law (KCL). According to it the algebraic sum of currents meeting at a junction is zero i.e. Σ i = 0.

This law is simply a statement of “conservation of charge” as if current reaching a junction is not equal to the current leaving the junction, the charge will not be conserved.

In oxidation states of and are +7 and +6 respectively.
oxidation states of Ni and Co are +2 and +3 respectively.
In oxidation states of Fe and Co are +3 and +3 respectively.
In and oxidation states of Mn and Fe are +4 and +3 respectively.