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


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

MP Police SI (Technical) Mock Test - 7 for MP Police SI 2025 is part of MP Police SI preparation. The MP Police SI (Technical) Mock Test - 7 questions and answers have been prepared according to the MP Police SI exam syllabus.The MP Police SI (Technical) Mock Test - 7 MCQs are made for MP Police SI 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for MP Police SI (Technical) Mock Test - 7 below.
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MP Police SI (Technical) Mock Test - 7 - Question 1

If a simple harmonic oscillator has got a displacement of 0.02m and acceleration equal to 2m/s2 at any time, the angular frequency of the oscillator is equal to ___________

Detailed Solution for MP Police SI (Technical) Mock Test - 7 - Question 1
We know that,

According to the formula.


rad/s
MP Police SI (Technical) Mock Test - 7 - Question 2

The species having tetrahedral shape is:

Detailed Solution for MP Police SI (Technical) Mock Test - 7 - Question 2

have tetrahedral shape while have square planner structure.
The magnetic moment of reveals that the species is paramagnetic having two unpaired electrons i.e., is . The four electron pairs by ligand leads to - hybridization in and do not disturb configuration to give tetrahedral geometry.

MP Police SI (Technical) Mock Test - 7 - Question 3

If 75% of a number is added to 75, then the result is the number itself. Find the number.

Detailed Solution for MP Police SI (Technical) Mock Test - 7 - Question 3

Let be assume the number is x.

× x + 75 = x

⇒ x = = 300

∴ The required result will be 300.

MP Police SI (Technical) Mock Test - 7 - Question 4

Which of the following is a non-metal?

Detailed Solution for MP Police SI (Technical) Mock Test - 7 - Question 4

Nitrogen is a non-metal. Elemental nitrogen is a colourless, odourless, tasteless and mostly inert diatomic gas at standard conditions. Nitrogen constitutes 78% by volume of Earth's atmosphere.

MP Police SI (Technical) Mock Test - 7 - Question 5
The minimum value of the expression 2x2 + 5x + 5 is:
Detailed Solution for MP Police SI (Technical) Mock Test - 7 - Question 5

Given equation is .

For any quadratic equation of form

So,

Also, and

If , then the minimum value of equation

Minimum value of equation

MP Police SI (Technical) Mock Test - 7 - Question 6

Two bodies at different temperatures and if brought in thermal contact:

Detailed Solution for MP Police SI (Technical) Mock Test - 7 - Question 6

If two bodies at different temperatures and are brought in thermal contact, heat is said to flow from the body at higher temperature to the body at lower temperature until an equilibrium is obtained, i.e., until a point at which the temperatures of both the bodies becomes the same. The equilibrium temperature turns out to be the same as the mean temperature, which can be denoted as only when thermal capacities of the two bodies are the same.

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

In a solid '' having the structure, '' atoms occupy the corners of the cubic unit cell. If all the face centred atoms along one of the axes are removed, then the resultant stoichiometry of the solid is:

Detailed Solution for MP Police SI (Technical) Mock Test - 7 - Question 7

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 .

MP Police SI (Technical) Mock Test - 7 - Question 8

The gravitational force between two masses kept at a certain distance is 'P' Newton. The same two masses are now kept in water and the distance between them are same. The gravitational force between these two masses in water is 'Q' Newton then:

Detailed Solution for MP Police SI (Technical) Mock Test - 7 - Question 8

According to Newton's law of gravitation, the gravitational force between two masses and is proportional to the product of their masses and the distance between them is the square of . Is inversely proportional to force.

In this way gravity does not depend on the medium

So,

MP Police SI (Technical) Mock Test - 7 - Question 9

A smooth inclined plane is inclined at an angle 9 with the horizontal as shown in the above figure. A body starts from rest and slides down the inclined surface. The time taken by the body to reach the bottom is:

Detailed Solution for MP Police SI (Technical) Mock Test - 7 - Question 9

Component of acceleration along the inclined plane will be

MP Police SI (Technical) Mock Test - 7 - Question 10

Which one of the following has largest number of isomers?

(R = alkyl group, en = ethylenediamine)

Detailed Solution for MP Police SI (Technical) Mock Test - 7 - Question 10

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.

MP Police SI (Technical) Mock Test - 7 - Question 11

Some minerals contain high percentage of a particular metal. These minerals are known as _________.

Detailed Solution for MP Police SI (Technical) Mock Test - 7 - Question 11

Minerals are naturally occurring chemical substances in the earth’s crust obtainable by mining.

Out of many minerals in which a metal may be found, only a few are viable to be used as sources of that metal. Such minerals are known as ores.

MP Police SI (Technical) Mock Test - 7 - Question 12

Who discovered X-Ray?

Detailed Solution for MP Police SI (Technical) Mock Test - 7 - Question 12

Wilhelm Conrad Roentgen discovered X-Rays in 1895. He discovered this while working with a cathode-ray tube in his laboratory.

X-Ray is an electromagnetic wave of high energy and very short wavelength, which is able to pass through many materials opaque to light. The frequency of X-Rays is 1016 to 1019 Hz. X-rays are used to detect cracks in bones, in medicine and industries and also for security purposes.

MP Police SI (Technical) Mock Test - 7 - Question 13

An ideal gas heat engine operates in Carnot's cycle between and It absorbs at high temperature. The amount of heat converted into work is _________.

Detailed Solution for MP Police SI (Technical) Mock Test - 7 - Question 13

Given:

Heat absorbed by the engine is .

The efficiency of the heat engine is given by:

MP Police SI (Technical) Mock Test - 7 - Question 14

Which of the following will not show geometrical isomerism?

Detailed Solution for MP Police SI (Technical) Mock Test - 7 - Question 14

The compound can show geometrical isomerism when both the valencies of double-bonded carbon are satisfied by different groups. In 2,3-Dimethylpent-2-ene both valencies of second carbon are satisfied by the methyl group. Hence it will not show geometrical isomerism.

MP Police SI (Technical) Mock Test - 7 - Question 15

Which of the following ore is concentrated using group 1 cyanide salt?

Detailed Solution for MP Police SI (Technical) Mock Test - 7 - Question 15

Sphalerite ore : ZnS

Calamine ore : ZnCO3

Siderite ore : FeCO3

Malachite ore : Cu(OH)2.CuCO3

It is possible to separate two sulphide ores by adjusting proportion of oil to water or by using' depressants'. In case of an ore containing ZnS and PbS, the depressant used is NaCN.

MP Police SI (Technical) Mock Test - 7 - Question 16

If are the roots of the equation , then what is equal to?

Detailed Solution for MP Police SI (Technical) Mock Test - 7 - Question 16

Here, comparing with

We get,

Product of roots

MP Police SI (Technical) Mock Test - 7 - Question 17

Find the total amount on a principal of Rs. 300 in 2 years at 5% per annum compound interest?

Detailed Solution for MP Police SI (Technical) Mock Test - 7 - Question 17

Given:

Principal = Rs. 300

Time = 2 years

Rate of interest = 5%

Formula:

Amount = 

Amount = 

= Rs. 330.75

∴ The amount received is Rs. 330.75.

MP Police SI (Technical) Mock Test - 7 - Question 18

Which of the following is the simplest member of organic compounds?

Detailed Solution for MP Police SI (Technical) Mock Test - 7 - Question 18

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.

MP Police SI (Technical) Mock Test - 7 - Question 19

Direction: In the following question two equation numbered I and II are given. Solve the equation and answer the question:

I.

II.

Detailed Solution for MP Police SI (Technical) Mock Test - 7 - Question 19

I.

II.

So, 

MP Police SI (Technical) Mock Test - 7 - Question 20

An ideal refrigerator has a freezer at a temperature of .The coefficient of performance of the engine is . The temperature at which heat is rejected will be:

Detailed Solution for MP Police SI (Technical) Mock Test - 7 - Question 20

Given that, the temperature of freezer,

Coefficient of performance,

The coefficient of performance is defined as,

MP Police SI (Technical) Mock Test - 7 - Question 21

A certain sum of money fetched an interest of Rs. at per annum simple interest for years. Find the sum.

Detailed Solution for MP Police SI (Technical) Mock Test - 7 - Question 21

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.

MP Police SI (Technical) Mock Test - 7 - Question 22

Two persons are standing on opposite ends of a field of length 1500 meters. If they are running towards each other at 10 km/hr and 20 km/hr respectively, after how much time will they meet each other?

Detailed Solution for MP Police SI (Technical) Mock Test - 7 - Question 22

Relative speed, if opposite directions = (x + y) km/hr

Relative speed of both men, if they running opposite direction.

km/hr

m/s

Time taken to meet each other seconds

MP Police SI (Technical) Mock Test - 7 - Question 23

Which instrument is used to measure the density of milk?

Detailed Solution for MP Police SI (Technical) Mock Test - 7 - Question 23

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

MP Police SI (Technical) Mock Test - 7 - Question 24

Which one of the following is a square root of , where ?

Detailed Solution for MP Police SI (Technical) Mock Test - 7 - Question 24

We have the algebric expression

The square root of is .

MP Police SI (Technical) Mock Test - 7 - Question 25
For a reaction Rate acetone then unit of rate constant and rate of reaction respectively is
Detailed Solution for MP Police SI (Technical) Mock Test - 7 - Question 25
Rate
Rate
Unit of rate
Unit of rate constant
In this case
rate



MP Police SI (Technical) Mock Test - 7 - Question 26

A gas filled balloon moves up because ___________.

Detailed Solution for MP Police SI (Technical) Mock Test - 7 - Question 26

A gas filled balloon moves up because upward force on the balloon is more than gravitational force.

  • A simple device that uses hot air or a lighter gas to rise into the air.
  • Archimedes Principle: The buoyant force acting on an object floating in a liquid is equal to the weight of the liquid displaced by the object.
  • The balloon is based on Archimedes' principle.
  • When the air gets heated, the density of that air becomes less as compared to the density of the surrounding air or we can use a gas whose density is less than that of the air.
  • The difference in density causes the balloon to rise above the ground.
  • Therefore, the balloon will go up only when we fill it with a gas with a lower density than atmospheric air.
MP Police SI (Technical) Mock Test - 7 - Question 27

Which of the following statements is/are true?

Detailed Solution for MP Police SI (Technical) Mock Test - 7 - Question 27

Metals are extracted from ore and minerals contain both metals as well as non-metals. For example, aluminium exists in two mineral forms that are clay and Bauxite. But aluminium is mainly extracted from bauxite which contains 70% aluminium oxide, i.e., Bauxite is an ore of aluminium whereas clay is not an ore. So, every ore is a mineral but every mineral is not an ore.

MP Police SI (Technical) Mock Test - 7 - Question 28

The reaction; shows an increase in concentration of by litre in 5 second.

Calculate

(a) rate of appearance of ,

(b) rate of reaction and

(c) rate of disappearance of .

Detailed Solution for MP Police SI (Technical) Mock Test - 7 - Question 28

Increase in concentration of litre

mol litre

(b) Rate of reaction

(c) Rate of disappearance of

litre

MP Police SI (Technical) Mock Test - 7 - Question 29

The value of p for which the sum of the squares of the roots of the equation x2 - (p - 2)x - p + 1 = 0 is minimum will be:

Detailed Solution for MP Police SI (Technical) Mock Test - 7 - Question 29

Given that,

x2 - (p - 2)x - p + 1 = 0 ---(i)

Let the roots of equation are α and β.

Sum of root α + β = (p - 2)

Product of root = αβ = -p + 1

∵ a2 + b2 = (a + b)2 - 2ab

⇒ α2 + β2 = (p - 2)2 - 2(-p + 1)

⇒ α2 + β2 = p2 - 4p + 4 + 2p - 2

⇒ α2 + β2 = (p - 1)2 + 1 ---(ii)

(p - 1)2 + 1 will be minimum when,

p = 1

MP Police SI (Technical) Mock Test - 7 - Question 30

Two bodies in contact are said to be in thermal equilibrium when:

Detailed Solution for MP Police SI (Technical) Mock Test - 7 - Question 30

Two bodies in contact are said to be in thermal equilibrium when no heat flow occurs between the two bodies.

Thermal equilibrium: Thermal equilibrium is a condition when two surfaces in physical contact have no exchange of heat between them.

  • Heat flows from an object of higher temperature to an object of lower temperature.
  • So, temperature governs the direction of heat flow.
  • When no heat flow occurs, it is to be inferred that the surfaces are at the same temperature.
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