MP Police SI (Technical) Mock Test - 7 - MP Police SI MCQ

Given,

As we know that and

So, We can say that and (i)

Now, From the given formula

On putting in the above trigonometric formula, we get (ii)

From (i) and (ii), we get

The correct relation is .

When heat is given to particles, they gain energy. On gaining enough energy, particles start moving randomly to acquire kinetic energy and get mixed up with the particles present in air. It is a surface phenomenon.

We know that mercury does not evaporate at room temperature. It has its various applications like it is used in thermometers to check body temperatures also. We will see that mercury has a higher boiling point that is why it does not show the evaporation process at room temperature.

and

Standard wave equation is:

or , where A is amplitude

Now, we can write:

Resultant

Therefore, resultant amplidute is 7

The magnetic moment of diamagnetic atom is zero because diamagnetism is the intrinsic property of every material and it is generated due to the mutual interaction between the applied magnetic field and orbital motion of electrons.

When the metal heated, the length, surface area, volume of the metal also increased. The increase in temperature which results in metal expands and this expansion is termed as the thermal expansion of metal i.e. expansion in metal due to the heating effect.

So, the iron blade has a ring in which the wooden handle is fixed. The ring is slightly smaller in size than a wooden handle. When the ring is heated which is made up of metal expands, after the ring cools, it tightly fits in the wooden handle.

The compound given below is isomer as top priorities are on same sides.

Rest all are E-(configurations) isomers as top priorities are opposite or diagonal.

in has eight corner and six face atoms and thus, if we remove face centred atom of one axis, then two face atoms are removed.

Thus, is at corners at face centers.

Number of atoms per unit cell

present in all octahedral voids, thus number of atoms per unit cell

Thus, formula is .

Given,

α and β are the roots of the equation x² - q(1 + x) - r = 0

⇒ x² - q - qx - r = 0

⇒ x² - qx - (q + r) = 0

Sum of roots = α + β = q

Product of roots = αβ = - (q + r) = -q - r

To find: (1 + α)(1 + β)

(1 + α)(1 + β) = 1 + α + β + αβ

= 1 + q - q - r

= 1 - r

In a spherical shell, the internal energy per unit volume is given by

Here is a constant

Next the value of ,

From adiabatic expansion, and

We get,

On integrating,

Constant

has largest number of isomers which includes geometrical isomers (cis and trans isomers) as well as stereoisomers form, form and optically inactive form. en is a bidentate ligand.

Given,

....(i)

The general equation of SHM can be given as

.......(ii)

Comparing equation (i) and (ii), we get

and

Amplitude of motion,

Given series is:

7756, 7765, 7655, 7665, 7565

Arranging in descending order, we get

7765, 7756, 7665, 7655, 7565

Given:

Heat absorbed by the engine is .

The efficiency of the heat engine is given by:

It is provided that the work done on the system when the gas transforms from state A to state B is .

This is an adiabatic process. Thus, the change in heat is zero.

(As the work is done on the system)

Using the first law of thermodynamics,

where,

on putting the above value we get,

change in the internal energy of the gas

When the gas transforms from state A to state B via a process, the net heat absorbed by the system is given by

Heat absorbed can be given by the equation,

Clearly, of work is done by the system.

Here, comparing with

We get,

Product of roots

Mirages happen when the ground is very hot and the air is cool. The hot ground warms a layer of air just above the ground. When the light moves through the cold air and into the layer of hot air it is refracted (bent). A layer of very warm air near the ground refracts the light from the sky nearly into a U-shaped bend.

Joint Military exercise 'Keen Sword 23' is conducted between the United States (USA) and Japan. Keen Sword is a series of joint military exercises conducted biennially between the United States Armed Forces and the Japan Self-Defense Forces. The exercises aim to enhance the interoperability and cooperation between the two countries' military forces and strengthen their defense capabilities.

Given:

Principal = Rs. 300

Time = 2 years

Rate of interest = 5%

Formula:

Amount = 

Amount = 

= Rs. 330.75

∴ The amount received is Rs. 330.75.

The given number is,

6 9 5 4 2 3 5 7 4 8 9 2

After the rearrangement,

7 7 3 5 3 1 3 5 5 9 7 3

Then three numbers appear more than twice after the rearrangement.

Methane is the simplest member of the alkane family and indeed the simplest of organic compounds, as all other compounds are derived by altering this compound.

Non-metals often form covalent chlorides because they share electrons with chlorine. However, the reason why non-metals tend to form covalent bonds with chlorine is not solely because they are capable of sharing electrons, but rather because chlorine is a highly electronegative element.

Given:

Raju travels a distance x at y speed.

If he walked 5 km/h faster, taken 30 minutes less.

If he walked 3 km/h slowly, taken 30 minutes more.

According to formula,

Speed =

Calculation:

Let time take by Raju is t,

So,

⇒ x = y × t

⇒ x = yt

If speed is increased by km/h

New speed km/h

New time hr

Distance

...... (i)

Now,

New speed km/hr

New time hr

Distance

⇒ 3 = y - 6t    ....(ii)

By adding equation (i) and (ii)

⇒ 5 = 10t - y and 3 = y - 6t

⇒ 8 = 4t 

⇒ t =

⇒ t = 2 hr

Now 

Put the value of t in equation (i)

⇒ y = 15 km/hr

⇒ Distance = yt

⇒ x = 15 × 2 

⇒ x = 30 km

∴ Distance = 30 km

Let the sum of money be Rs. .
Simple Interest at per annum for years of Rs.
So, according to the question,

Therefore, Sum Rs. Rs. Rs.

During the electrolytic refining of metals, insoluble impurities are known as anode mud.

In electrolytic refining, the impure metal is made to act as an anode. A strip of the same metal in pure form is used as a cathode. They are put in a suitable electrolytic bath containing soluble salt of the same metal. The more basic metal remains in the solution and the less basic ones go to the anode mud.

An instrument called lactometer is used to measure the density of milk. Lactometer works on the principle of gravity of milk.

We have the algebric expression

The square root of is .

A wave moving through a string fixed at both ends has simple harmonic nature because once the load attached to the spring is pulled once a little from its means position and left to itself its starts oscillating about their mean position.

A gas is compressed to half of its initial volume isothermally. The same gas is compressed again until the volume reduces to half through an adiabatic process. Then work done is more during the adiabatic process.

From the graph we can see that for compression of gas, area under the curve for adiabatic is more than isothermal process. Therefore, compressing the gas through adiabatic process will require more work to be done.

negative of area with volume-axis