NEET Minor Test - 1 - NEET MCQ

# NEET Minor Test - 1 - NEET MCQ

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## 180 Questions MCQ Test NEET Mock Test Series 2025 - NEET Minor Test - 1

NEET Minor Test - 1 for NEET 2024 is part of NEET Mock Test Series 2025 preparation. The NEET Minor Test - 1 questions and answers have been prepared according to the NEET exam syllabus.The NEET Minor Test - 1 MCQs are made for NEET 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for NEET Minor Test - 1 below.
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NEET Minor Test - 1 - Question 1

### Plane angle and solid angle have

Detailed Solution for NEET Minor Test - 1 - Question 1

∴ Both have units but no dimensions

NEET Minor Test - 1 - Question 2

### The physical quantity that has the same dimensional formula as pressure is:

Detailed Solution for NEET Minor Test - 1 - Question 2

NEET Minor Test - 1 - Question 3

### If force [F], acceleration [A] and time [T] are chosen as the fundamental physical quantities. Find the dimensions of energy.

Detailed Solution for NEET Minor Test - 1 - Question 3
Energy, E ∝ Fa AbTc

[E] = [Fa][Ab][Tc]

⇒ [ML2T−2] = [MLT−2]a[LT−2]b[T]c

[ML2T−2] = [MaLa+bT−2a−2b+c]

Comparing dimensions on both sides.

⇒ a = 1 ; a + b = 2 and −2 = −2a − 2b + c

⇒ b = 1 ⇒ −2 = −2 −2 + c

⇒ c = 2

[E] = [F AT2]

NEET Minor Test - 1 - Question 4

If E and G respectively denote energy and gravitational constant, then E/G has the dimensions of

Detailed Solution for NEET Minor Test - 1 - Question 4
Dimensional formula of energy

[E] = [M1L2T−2] .......(I)

Dimensional formula of gravitational constant

[G] = [M−1L3T−2] .......(II)

From (I) & (II)

Hence, dimensions of [E/G] = [M2L−1T0]

So, correct option is (a)

NEET Minor Test - 1 - Question 5

Taking into account of the significant figures, what is the value of 9.99m − 0.0099m?

Detailed Solution for NEET Minor Test - 1 - Question 5
In subtraction the number of decimal places in the result should be equal to the number of decimal places of that term in the operation which contain lesser number of decimal places.

9.99 − 0.0099 = 9.9801

As the least number of decimal places is 3.

NEET Minor Test - 1 - Question 6

The unit of thermal conductivity is.

Detailed Solution for NEET Minor Test - 1 - Question 6

where Q is the amount of heat flow, x is the thickness of the slab, A is the area of cross-section, and t is the time taken.

NEET Minor Test - 1 - Question 7

The main scale of a vernier callipers has n divisions/cm. n divisions of the vernier scale coincide with (n-1) divisions of main scale. The least count of the vernier callipers is,

Detailed Solution for NEET Minor Test - 1 - Question 7
If nth division of vernier scale coincides with (n − 1) divisions of main scale.

Therefore, nV SD = (n − 1)MSD

NEET Minor Test - 1 - Question 8

A physical quantity of the dimensions of length that can be formed out of c, G and is [c is velocity of light, G is the universal constant of gravitation and e is charge].

Detailed Solution for NEET Minor Test - 1 - Question 8

Dimensions of G = [M−1L3T−2]

Dimensions of c = [LT−1]

∴ [L1] = [ML3T−2]p [M−1L3T−2]q[LT−1]r

On comparing both sides and solving, we get

p = 1/2, q = 1/2 and r = -2

NEET Minor Test - 1 - Question 9

If dimensions of critical velocity vc of a liquid flowing through a tube are expressed as [ηxρyγz] where η, ρ and γ are the coefficient of viscosity of liquid, density of liquid and radius of the tube respectively, then the values of x, y and z are given by.

Detailed Solution for NEET Minor Test - 1 - Question 9
[vc] = [ηxρyγz] (given) ........(i)

Writing the dimensions of various quantities in eqn. (i), we get

[M0LT−1] = [M L−1T−1]x [M L−3T0]y[M0 LT0]z

= [Mx+yL−x−3y+zT−x]

Applying the principle of homogeneity of dimensions, we get

x + y = 0; −x − 3y + z = 1; −x = −1

On solving, we get x = 1, y = −1, z = −1

NEET Minor Test - 1 - Question 10

In an experiment four quantities a, b, c and d are measured with percentage error 1%, 2%, 3% and 4% respectively. Quantity P is calculated as follows

Detailed Solution for NEET Minor Test - 1 - Question 10

% error in P is

= [3 × 2% + 2 × 2% + 3% + 4%] = 14%

NEET Minor Test - 1 - Question 11

The damping force on an oscillator is directly proportional to the velocity. The units of the constant of proportionality are

Detailed Solution for NEET Minor Test - 1 - Question 11
Damping force,F ∝ v or F = kv

NEET Minor Test - 1 - Question 12

The density of a material in CGS system of units is 4g∕cm3 In a system of units in which unit of length is 10 cm and unit of mass is 100 g, the value of density of material will be

Detailed Solution for NEET Minor Test - 1 - Question 12
ln CGS, d = 4g∕cm3

If unit of mass is 100g,4g mass in new units is 4/100 units

and unit of distance is 10cm,1cm in new units is 1/100 units

NEET Minor Test - 1 - Question 13

A student measures the distance traversed in free fall of a body, initially at rest, in a given time. He uses this data to estimate g, the acceleration due to gravity. If the maximum percentage errors in measurement of the distance and the time are e1 and e2 respectively, the percentage error in the estimation of g is

Detailed Solution for NEET Minor Test - 1 - Question 13
From the relation

(∵ body initially at rest)

Taking natural logarithm on both sides, we get

l n g = l n2 + l nh − 2l n t

Differentiating,

For maximum permissible error,

or

According to problem

NEET Minor Test - 1 - Question 14

If the error in the measurement of radius of a sphere is 2%, then the error in the determination of volume of the sphere will be

Detailed Solution for NEET Minor Test - 1 - Question 14

Error in the determination of the volume = 3×2% = 6%

NEET Minor Test - 1 - Question 15

Dimensions of resistance in an electrical circuit, in terms of dimension of mass M, of length L, of time T and of current I, would be

Detailed Solution for NEET Minor Test - 1 - Question 15
According to Ohm's law,

V = RI or R = V/I

NEET Minor Test - 1 - Question 16

The ratio of the distances travelled by a freely falling body in the 1st ,2nd ,3rd and 4th second

Detailed Solution for NEET Minor Test - 1 - Question 16

NEET Minor Test - 1 - Question 17

The position-time (x–t) graph for positive acceleration is :

Detailed Solution for NEET Minor Test - 1 - Question 17
+ve acceleration

so, velocity is increasing

⇒ slop of x−t graph is increasing

NEET Minor Test - 1 - Question 18

A car starts from rest and accelerates at 5 m/s2. At t = 4 s, a ball is dropped out of a window by a person sitting in the car. What is the velocity and acceleration of the ball at t = 6 s?(Take g = 10 m/s2)[NEET

Detailed Solution for NEET Minor Test - 1 - Question 18
Initial velocity of car = 0

Acceleration of car = 5 m/s2

Velocity of car at t = 4 s; v = u + at

⇒ v = 0 + 5 × 4 = 20 ms–1At t = 4 s, A ball is dropped out of a window so velocity of ball at this instant is 20 ms–1 along horizontal.

After 2 seconds of motion :

Horizontal velocity of ball = 20ms−1(∵ ax = 0)

Vertical velocity of ball (vy) = uy + ayt

vy = 0 + 10 × 2 = 20ms−1 (∵ ay = g = 10m∕s2)

So magnitude of velocity of ball

Acceleration of ball at t = 6s is g = 10m∕s2

As ball is under free fall.

NEET Minor Test - 1 - Question 19

Preeti reached the metro station and found that the escalator was not working. She walked up the stationary escalator in time t1. On other days, if she remains stationary on the moving escalator, then the escalator takes her up in time t2. The time taken by her to walk up on the moving escalator will be

Detailed Solution for NEET Minor Test - 1 - Question 19
Let v1 is the velocity of preeti on stationary escalator and d is the distance travelled by her

Again, let v2 is the velocity of escalator

∴ Net velocity of Preeti on moving escalator with respect to the ground

The time taken by her to walk up on the moving escalator will be

NEET Minor Test - 1 - Question 20

Two cars P and Q start from a point at the same time in a straight line and their positions are represented by xp(t) = (at + bt2) and xQ(t) = (ft − t2). At what time do the cars have the same velocity?

Detailed Solution for NEET Minor Test - 1 - Question 20
Position of the car P at any time f,is

Similarly, for car Q,

NEET Minor Test - 1 - Question 21

A stone falls freely under gravity. It covers distances h1, h2 and h3 in the first 5 seconds, the next 5 seconds and the next 5 seconds respectively. The relation between h1 and h2 and h3 is

Detailed Solution for NEET Minor Test - 1 - Question 21
Distance covered by the stone in 5s is

Distance travelled by the stone in 10 s is

Distance travelled by the stone in 15 s is

Subtract (i) from (ii), we get

Subtract (ii) from (iii), we get

From (i), (iv) and (v), we get

NEET Minor Test - 1 - Question 22

The motion of a particle along a straight line is described by equation x = 8 + 12t − t3 where x is in metre and t in second. The retardation of the particle when its velocity becomes zero is

Detailed Solution for NEET Minor Test - 1 - Question 22
Given : x = 8 + 12t − t3

When v = 0, 12 − 3t2 = 0 or t = 2s

a t =2s = −12ms−2

Retardation = 12ms−2

NEET Minor Test - 1 - Question 23

A particle covers half of its total distance with speed v1 and the rest half distance with speed v2. Its average speed during the complete journey is

Detailed Solution for NEET Minor Test - 1 - Question 23
If The half distance (x) covered with the speed v1 in time.

Using formula of speed, v1 = x/t1

And another half distance (x), covered with speed v2 in time t2.

so,v2 = xt2

Total distance = x + x = 2x

On putting the values of total distance and total time in the formula of average speed, we get

NEET Minor Test - 1 - Question 24

A ball is dropped from a high rise platform at 1 = 0 starting from rest. After 6 seconds another ball is thrown downwards from the same platform with a speed v. The two balls meet at t = 18 s. What is the value of v?

(Take g = 10m∕s2)

Detailed Solution for NEET Minor Test - 1 - Question 24
Let the two balls meet after t s at distance x from the platform.

For the first ball u = 0, t = 18s, g = 10m∕s2

For second ball u = v, t = 12s, g = 10m∕s2

From equations (i) and (ii), we get

NEET Minor Test - 1 - Question 25

A particle starts its motion from rest under the action of a constant force. If the distance covered in first 10 seconds is S1 and that covered in the first 20 seconds is S2, then

Detailed Solution for NEET Minor Test - 1 - Question 25
Given : u = 0

Distance travelled in 10s,

Distance travelled in 20s,

∴ S2 = 4S1

NEET Minor Test - 1 - Question 26

A ball is projected with a velocity, 10ms−1, at an angle of 60∘ with the vertical direction. Its speed at the highest point of its trajectory will be

Detailed Solution for NEET Minor Test - 1 - Question 26
At highest point vertical component of velocity become zero.

At highest point speed of object = 10 cos30

= 5√3m/s

NEET Minor Test - 1 - Question 27

The speed of a swimmer in still water is 20m∕s. The speed of river water is 10m/s and is flowing due east.

If he is standing on the south bank and wishes to cross the river along the shortest path, the angle at which he should make his strokes w.r.t. north is, given by

Detailed Solution for NEET Minor Test - 1 - Question 27

⇒ θ = 180− (90+ 60) = 30

NEET Minor Test - 1 - Question 28

Two particles A and B are moving in uniform circular motion in concentric circles of radii rA and rB with speed vA and vB respectively. Their time period of rotation is the same. The ratio of angular speed of A to that of B will be

Detailed Solution for NEET Minor Test - 1 - Question 28
Time period, T = 2π/ω

As TA = TB

NEET Minor Test - 1 - Question 29

The x and y coordinates of the particle at any time are x = 5t − 2t2 and y = 10t respectively, where x and y are in meters and t in seconds. The acceleration of the particle at t = 2 s

Detailed Solution for NEET Minor Test - 1 - Question 29

Acceleration,

∴ The acceleration of the particle at t = 2s is −4ms2

NEET Minor Test - 1 - Question 30

If vectors are functions of time, then the value of t at which they are orthogonal to each other is

Detailed Solution for NEET Minor Test - 1 - Question 30
Two vectors are orthogonal to each other,if their scalar product is zero

(∵ cos(A − B) = cosA cosB + sinA sinB)

are orthogonal to each other

NEET Minor Test - 1 - Question 31

A ship A is moving westwards with a speed of 10kmh−1 and a ship B 100 km South of A, is moving northwards with a speed of 10kmh−1. The time after which the distance between them becomes shortest, is

Detailed Solution for NEET Minor Test - 1 - Question 31
Given situation is shown in the figure

OS = 100 km

OP = Shortest distance

Relative velocity between A and B is

The time after which distance between them equals to OP is given by

NEET Minor Test - 1 - Question 32

A particle is moving such that its position coordinates (x, y) are (2 m, 3 m) at time t = 0, (6 m, 7 m) at time t = 2 s and (13 m, 14 m) at time t = 5 s.

Average velocity vector from t = 0 to t = 5 s is

Detailed Solution for NEET Minor Test - 1 - Question 32
At time t = 0, the position vector of the particle is

At time t = 5 s, the position vector of the particle is

Displacement from

NEET Minor Test - 1 - Question 33

Vectors, are such that Then the vector parallel to is

Detailed Solution for NEET Minor Test - 1 - Question 33
Vector triple product of three vectors

Thus the vector is parallel to vector

NEET Minor Test - 1 - Question 34

A particle has initial velocity and acceleration The magnitude of velocity after 10 seconds will be

Detailed Solution for NEET Minor Test - 1 - Question 34

NEET Minor Test - 1 - Question 35

A missile is fired for maximum range with an initial velocity of 20 m/s. If the range of missile is

Detailed Solution for NEET Minor Test - 1 - Question 35

For maximum range, angle of projection is θ = 45°

NEET Minor Test - 1 - Question 36

Choose the wrong statement for zero error and zero correction:

Detailed Solution for NEET Minor Test - 1 - Question 36
if the zero line of the vernier scale is not coinciding with the main scale the zero error exists. Knowing the zero error necessary correction can be made to find correct measurement. Such a correction is called zero correction.

In positive zero error zero of vernier scale lies to right of the zero of the main scale.

NEET Minor Test - 1 - Question 37

Which of the following pairs of physical quantities does not have same dimensional formula?

Detailed Solution for NEET Minor Test - 1 - Question 37

Correct option is C. Tension and surface tension

NEET Minor Test - 1 - Question 38

A particle moves in a straight line with a constant acceleration. It changes its velocity from 10ms−1 to 20ms−1 while passing through a distance 135 m in t second. The value of t is

Detailed Solution for NEET Minor Test - 1 - Question 38
v2 − u2 = 2as

Given: v = 10ms−1, u = 10ms−1, s = 135m

NEET Minor Test - 1 - Question 39

A car moves from X to Y with a uniform speed vu and returns to Y with a uniform speed vd. The average speed for this round trip is

Detailed Solution for NEET Minor Test - 1 - Question 39
Average speed is always given by

Let's assume that distance between X and Y is d

So, time taken to go from X to Y will be d/vu

And time taken to go from Y to X will be d/vd

So, average speed will be

NEET Minor Test - 1 - Question 40

Two bodies A (of mass 1kg) and B (of mass 3kg) are dropped from heights of 16m and 25m, respectively. The ratio of the time taken by them to reach the ground is

Detailed Solution for NEET Minor Test - 1 - Question 40
Time taken by a body fall from a height h to reach the ground is

NEET Minor Test - 1 - Question 41

A projectile is fired at an angle of 45° with the horizontal. Elevation angle of the projectile at its highest point as seen from the point of projection, is

Detailed Solution for NEET Minor Test - 1 - Question 41
Let ϕ be elevation angle of the projectile at its highest point as seen from the point of projection O and θ be angle of projection with the horizontal. From figure,

In case of projectile motion

Substituting these values of H and R in (i), we get

NEET Minor Test - 1 - Question 42

Six vectors, through have the magnitudes and directions indicated in the figure.Which of the following statements is true ?

Detailed Solution for NEET Minor Test - 1 - Question 42

NEET Minor Test - 1 - Question 43

A particle moves in x-y plane according to rule x = asinωt and y = acosωt. The particle follows

Detailed Solution for NEET Minor Test - 1 - Question 43

x = a sinωt or x/a = sinωt.........(i)

y = a cosωt or y/a = cosωt.........(ii)

This is the equation of a circle. Hence particle follows a circular path.

NEET Minor Test - 1 - Question 44

A particle of mass m is projected with velocity v making an angle of 45° with the horizontal. When the particle lands on the level ground the magnitude of the change in its momentum will be

Detailed Solution for NEET Minor Test - 1 - Question 44

The horizontal momentum does not change. The change in vertical momentum is

NEET Minor Test - 1 - Question 45

For angles of projection of a projectile at angle (45°−θ) and (45°+θ), the horizontal range described by the projectile are in the ratio of

Detailed Solution for NEET Minor Test - 1 - Question 45
Horizontal range

For angle of projection (45°−θ), the horizontal range is

For angle of projection left(45°+θ), the horizontal range is

∴ The range is the same.

NEET Minor Test - 1 - Question 46

Volume occupied by one molecule of water (density = 1 g/cm3) is :

Detailed Solution for NEET Minor Test - 1 - Question 46
Given: density of water is 1 g/cm3Gram Molecular mass of H2O = 18 g/mole

Mass of one H2O Molecule

The volume of one water molecule will be

NEET Minor Test - 1 - Question 47

Liquid benzene (C6H6) burns in oxygen according to the equation,

2C6H6(l) + 15O2(g) → 12CO2(g) + 6H2O(l)

How many litres of O2 at STP are needed to complete the combustion of 39 g of liquid benzene? (Molecular weight of O2 = 32, C6H6 = 78)

Detailed Solution for NEET Minor Test - 1 - Question 47

According to the reaction stoichiometry,

∵  156 g of benzene required oxygen = 15 × 22.4 L

∴  1 g of benzene required oxygen

∴   39 g of benzene required oxygen

NEET Minor Test - 1 - Question 48

The solubility of a substance 'X' in pure ethanol is 0.1 gm/L and in water is 0.01 gm/L. To dissolve 11 gm of dry 'X'', 20 mL of fresh 50%5 (V/V) ethanol solution is added. How many times do we need to add this ethanol solution to dissolve 'X'?

Detailed Solution for NEET Minor Test - 1 - Question 48
At each time, we are adding 20 mL of ethanol solution.

In 20 m of ethanol solution, volume of C2H5OH = 10 mL

Volume of water = 10 mL = 10 mL

In 10 mL of ethanol, mass of 'X' dissolved

In 10 ml of water, mass of 'X' dissolved

At each time, total mass of 'X' dissolved

∴ Number of times ethanol solution is added

NEET Minor Test - 1 - Question 49

In Haber's process, 30 litres of dihydrogen and 30 litres of dinitrogen were taken for the reaction, which yielded only 50% of the expected product. What will be the composition of the gaseous mixture under the aforesaid condition in the end?

Detailed Solution for NEET Minor Test - 1 - Question 49

(Limiting reagent is H2 but only 50% conversion)

Final reaction mixture,

(10 L−NH3, 25 L−N2, 15 L−H2)

NEET Minor Test - 1 - Question 50

The molecular weight of glucose is 180. What is the molarity of a solution which contains 18 g/L of glucose?

Detailed Solution for NEET Minor Test - 1 - Question 50
Given that,

Molecular mass of glucose = 180 gmol−1

Mass of glucose in the solution = 18 g

Volume of solution = 1 L

Molarity of the solution

NEET Minor Test - 1 - Question 51

For the reaction represented by the equation, CX4 + 2O2 → CO2 + 2X2O, 9.0 g of CX4 completely reacts with 1.74 g of oxygen. The approximate molar mass of X will be:

Detailed Solution for NEET Minor Test - 1 - Question 51
CX4 + 2O2 → CO2 + 2X2

According to the balanced reaction, one mole of the given compound must react with two moles of oxygen i.e., 64 g of oxygen.

∵ 1.74 g O2 reacts with CX4 = 9.0 g

∴ 64 g O2 will react with

This is the mass of one mole of the given compound i.e., molecular mass of CX4 = 331 g

or 331 = 12 + 4X

NEET Minor Test - 1 - Question 52

The number of atoms present in a 0.635 g of Cu piece will be

Detailed Solution for NEET Minor Test - 1 - Question 52
To calculate the number of atoms, we need to calculate the number of moles.

1 mole of atoms contain 6.023 × 1023 atoms.

0.010.01 moles contain,

0.01NA = 10−2 × 6.023 × 1023

= 6.023 × 1021 atoms.

NEET Minor Test - 1 - Question 53

Which of the following has the smallest number of molecules?

Detailed Solution for NEET Minor Test - 1 - Question 53

Equal numbers of moles have equal number of molecules.

Hence, the smallest number of molecules of CO2 is in 0.1 mole of CO2.

NEET Minor Test - 1 - Question 54

In a solution of 7.8 g benzene (C6H6) and 46.0 g toluene (C6H5CH3), the mole fraction of benzene is

Detailed Solution for NEET Minor Test - 1 - Question 54
Mole fraction can be explained as,

if we have a mixture of compounds X and Y, then,

NEET Minor Test - 1 - Question 55

The amount of anhydrous Na2CO3 present in 250 mL of 0.25 M solution is

Detailed Solution for NEET Minor Test - 1 - Question 55

NEET Minor Test - 1 - Question 56

Identify the incorrect statement from the following.

Detailed Solution for NEET Minor Test - 1 - Question 56
In an atom, all the five 3d orbitals are equal in energy in free state i.e., degenerate.

- The shape of is different then shape of

- The size of orbital depends on principal quantum number ' n ' therefore all the five 3d orbitals are different in size when compared to the respective 4d orbitals.

- Shape of orbitals depends on azimuthal quantum number 'l' therefore shapes of 4d orbitals are similar to the respective 3d orbitals.

NEET Minor Test - 1 - Question 57

Match List - I with List - II :

Choose the correct answer from the options given below:

Detailed Solution for NEET Minor Test - 1 - Question 57
ℓ = 0 ⇒ s-subshell

ℓ = 1 ⇒ p-subshell

ℓ = 2 ⇒ d-subshell

ℓ = 3 ⇒ f-subshell

∴n = 2, ℓ = 1 ⇒2p

n = 3, ℓ = 2 ⇒ 3d

n = 3, ℓ = 0 ⇒ 3s

n = 2, ℓ = 0 ⇒ 2s

NEET Minor Test - 1 - Question 58

A particular station of All India Radio, New Delhi broadcasts on a frequency of 1,368 kHz (kilohertz). The wavelength of the electromagnetic radiation emitted by the transmitter is : [speed of light c = 3.0 × 108 ms−1]

Detailed Solution for NEET Minor Test - 1 - Question 58