MP Police SI (Technical) Mock Test - 3 - MP Police SI MCQ

The French scientist Blaise Pascal observed that the pressure in a fluid at rest is the same at all points if they are at the same height. It is called Pascal's law.

Pascal's law says that pressure applied to an enclosed fluid will be transmitted without a change in magnitude to every point of the fluid and to the walls of the container. The pressure at any point in the fluid is equal in all directions.

Given,

of

According to BODMAS Rule,

of

of

The value of of is .

Ionic product in the solution the metal sulphide having the lowest solubility will precipitate first provided the ionic product is higher than the . Here, all salts are of the same valence type. So, the sulphide having the lowest value will precipitate first provided has the lowest value , so it will precipitate first.

If circum radius in the statement 1 is given then hypotenuse will be double of the circum radius.

From the statement II, one angle is 60 degrees then other will be 30 degrees. Here we know all the angles and by combining with the statement I, we can conclude one side that is hypotenuse

By using sin 60 = height/hypotenuse we can conclude the other side then after we can easily conclude the area of the triangle.

Given:

In Δ ABC,

∠B = 90° and ∠A = 45°

In right angled triangle

(Hypotenuse)² = (Base)² + (Perpendicular)²

In Δ ABC,

⇒ ∠A + ∠B + ∠C = 180°

⇒ 45° + 90° + ∠C = 180°

⇒ ∠C = 180° - 135°

⇒ ∠C = 45°

and

Given triangle is right angled triangle because ∠B = 90° then,

⇒ (8)² = AB² + BC²

∠A and ∠C are equal so opposite sides of ∠A and ∠B also equal.

⇒ AB = BC

⇒ (8)² = AB² + AB²

⇒ 2AB² = 64

⇒ AB² = 32

⇒ AB =

∴ The length of any other two sides (in units) is .

Given,

The circumference of the base of a cylindrical vessel is cm and its height is cm.

As we know,

Volume of cylinder

liter cm

Let the radius of height of cylinder be and respectively.

According to the question,

cm

cm

And cm (Given}

So, The volume

cm

liter

liter

The volume of the cylindricla vessel liter.

Given,

m = 2 Kg

v = 10 m/s

We know that when the ball reaches the highest point, its whole kinetic energy is converted into Potential energy.

The formula of kinetic energy is given by

mv²

Hence Kinetic energy at the time of throwing is 

= 100 J

The potential energy of the ball at the highest point is 100 J.

Molar mass of

Moles of

Mass of benzene in

Molality of

A stationary charge is not affected by a magnetic field because stationary charges do not have any velocity. Magnetic field cannot occur in a particle having zero velocity.

Given,

A cricket ball of mass,

Velocity

He withdraws his hands back through i.e., s = 40cm = 0.4 m

As the hand is moving horizontally, hence work done by gravity is zero. Then,

Force asserted by the ball,

....(i)

From the third equation of motion,

Initial velocity u =

Last velocity v = 0

From equation (i), we get

= 100 J

Kinetic Energy - It is the energy possessed by an object due to virtue of its motion.

• The kinetic energy of a body in motion can be calculated as half its mass (m) times the square of its velocity .
• Kinetic Energy is a scalar quantity.

Momentum - It is the quantity of motion of a moving body.

• It is a vector quantity.
• It is the product of the mass of a particle and its velocity.

The calculation for simplification:-

• Energy,
• Momentum,
• 

(momentum)

Given:

A train crosses a bridge in 40 seconds and a pole in 25 seconds. The speed of the train is 72 km/hour.

So,

The speed of the train is 72 km/hour

⇒ 72 × 

⇒ 20 meter/second

In 25 second the train covers 20 × 25

⇒ 500 meter

The length of the train is 500 meter

The train goes in 40 seconds = 20 × 40

⇒ 800 meter

The length of the bridge is (800 – 500)

⇒ 300 meter

∴ The length of the bridge is 300 meters.

Given:

The highest common factor of and

Let

And,

So,

The highest common factor of and .

∴ The required value is .

Fibers can be repeatedly stretched more than 500% of its original size and can also recover back; immediately to its original size and shape once the tension is relaxed. Fibres possess high tensile strength and high modulus. Fibres impart crystalline nature. Characteristic features of fibres are due to strong intermolecular forces like hydrogen bonding. Fibers used in clothing are used to cover the body, to protect our body, etc.

is boiling point of water in Fahrenheit.

The boiling point of a liquid is the temperature at which the vapour pressure of a liquid equals the standard sea-level atmospheric pressure.

• At sea level, the boiling point of water is that is equal to .
• Celsius to Fahrenheit formula is .

Step 1: Chloroform reacts with to give chloro carbene: .

Step 2: The chlocarbene created in the reaction adds to the primary amines.

Intramolecular hydride shift takes place.

Step:3 Two moles of are eliminated to give the isocyanide.

So, the product of the reaction is .

Let the speed of the boat be x km/h

And the speed of the stream be y km/h

Upstream = x – y km/h

Upstream = = 14 km/h

x – y = 14 ----(i)

Downstream = x + y km/h

Downstream = = 35 km/h

x + y = 35 ----(ii)

Subtract equation (i) form (ii)

x + y – x + y = 35 – 14

2y = 21

y = 10.5 km/h

∴ The speed of the stream is 10.5 km/h.

Teflon is homopolymer of monomeric units of tetra-fluoro-ethene.

Neoprene is homopolymer of monomeric units of chloroprene [ 2 - chloro 1,3 - butadiene]. So these are homopolymer and monomers.

According to the question, the circuit be as:

Now, as we know that, the capacitor is a device that stores electrical energy in an electric field by virtue of accumulating electric charges on two close surfaces insulated from each other. So, the resistor and the capacitor will be nullified and the current flows as it is in the wire.

Where, voltage

current

resistance

Now, the resistors are in series so,

So, the current, flowing through the circuit will be:

Given :

Initially the mass of wagon

Wagon is moving with velocity of

So its momentum

When a mass is dropped into it.

New mass of the system

Let is the velocity of the system.

By the conservation of linear momentum: Initial momentum = Final momentum

To balance a chemical reaction:

• Check the number of atoms before and after the reaction.
• Balance the elements one at a time by adding coefficients before them.
• Change the coefficients as required.
• Never change the subscripts.

Thus, the equation becomes:

At this stage, carbon and hydrogen are balanced, but oxygen is not balanced yet, so we need to multiply oxygen by 5 on the reactant side.

Now, the equation is balanced.

So, the co-efficients and e for the reaction  are 1,5,3,4 respectively.

Given:

Two numbers = 52, 100 

HCF = Highest Common Factor

HCF means the Highest Common Factor. The largest number that divides two or more numbers is the highest common factor (HCF) for those numbers.

By prime factorization;

HCF

It provides mechanical support for the poles in the DC generator is not a function of the magnetic frame in a DC generator.

The outer frame or yoke serves a double purpose:

(i) It provides mechanical support for the poles and acts as a protecting cover for the whole machine and

(ii) It carries the magnetic flux produced by the poles.

In small generators where cheapness rather than weight is the main consideration, yokes are made of cast iron

For large machines usually cast steel or rolled steel is employed. The modern process of forming the yoke consists of rolling a steel slab around a cylindrical mandrel and then welding it at the bottom. The feet and the terminal box etc. are welded to the frame afterward. Such yokes possess sufficient mechanical strength and have high permeability.

Given:

AD = 5 cm

AB = 12 cm

AE = 6 cm

Formula:

If, ΔABC ∼ ΔAED, then

In the following figure

∠AED + ∠CED = 180°

⇒ ∠AED + 135° = 180°

⇒ ∠AED = 45°

In ΔABC and in ΔAED

∠AED = ∠ABC

∠A = ∠A (common)

∴ ΔAED ∼ ΔABC

⇒ AC = 5 × 2

∴ AC = 10 cm

Clay cannot be used to make a lens.

• Clay is an opaque material.
• Water and glass are transparent material so they can be used to form the lens.
• Some plastics which are transparent can be used to make a lens.

When we go up the mountain then both temperature and pressure decrease.

Air temperature generally decreases from the equator towards the poles. Also, as one goes from the surface of the earth to higher altitudes, the atmosphere becomes less dense, pressure decreases, and temperature decreases.

The lens with power +2.0 D will bend the light rays through the least angle because a positive sign shows a convex lens.

A convex lens concentrates the light rays that are incident on it, so it is called a converging lens. The bending of light rays is maximal at the top and bottom of the convex lens because the top and bottom prisms have the greatest angle between the refracting surfaces.

Product of Force and Velocity is called power.

It is defined as the limiting value of the average power as the time interval approaches zero.

Given:

Here we used rationalization method

Taking L.H.S.

Comparing L.H.S. to R.H.S.-

So,

Now,

required answer is .

Electromagnetic Induction is the phenomenon used for the electric generator. In an electric generator, mechanical energy is used to rotate a conductor in a magnetic field to produce electricity. Electromagnetic induction is a phenomenon in which a changing magnetic field across a loop of wire results in the generation of an induced emf. When there is relative motion between a magnet and the coil, magnetic flux changes and therefore an electromotive force is generated in the coil. This electromotive force generates induced current.