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30 Questions MCQ Test NEET Mock Test Series 2025 - NEET Part Test - 1

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

A particle of mass m begins to slide down a fixed smooth sphere from the top as shown. What is its acceleration when it breaks off the sphere?

Detailed Solution for NEET Part Test - 1 - Question 1

NEET Part Test - 1 - Question 2

An automobile enters a turn of radius R. If the road is banked at an angle of 450 and the coefficient of friction is 1, the minimum and maximum speed with which the automobile can negotiate the turn without skidding is : 

Detailed Solution for NEET Part Test - 1 - Question 2

F.B.D. for minimum speed (w.r.t. automobile): 


⇒ 
⇒ 
for θ = 45° and μ = 1   vmin
F.B.D. for minimum speed (w.r.t. automobile): 


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NEET Part Test - 1 - Question 3

Figure shows the roller coaster track. Each car will start from rest at point A and will roll with negligible friction. It is important that there should be at least some small positive normal force exerted by the track on the car at all points, otherwise the car would leave the track. With the above fact, the minimum safe value for the radius of curvature at point B is (g = 10 m/s2) :

Detailed Solution for NEET Part Test - 1 - Question 3

NEET Part Test - 1 - Question 4

Two masses m1 and m2 which are connected with a light string, are placed over a frictionless pulley. This set up is placed over a weighing machine, as shown. Three combination of masses m1 and m2 are used, in first  case m1 = 6 kg and m2 = 2 kg, in second case m1 = 5 kg and m2 = 3kg and in third case m1 = 4 kg and m2 = 4 kg.  Masses are held stationary initially and then released. If the readings of the weighing machine after the release in three cases are W1, W2 and W3 respectively then :

Detailed Solution for NEET Part Test - 1 - Question 4

Net weight showing in the weighing machine will be equal to the tension in string on both sides i.e. on the side of m1​ and m2​.
Therefore, W= 2T
Now, from the block diagram,
m1​g−T=m1​a
T−m2​g=m2​a
Therefore,
2T = (m1​+m2​)g/m1​m2​​
Now,
W1​=6+ 22 x 6 ​x 2​​g=3g
W2​=5+ 32 x 5​ x 3​​g=3.75g
W3​=4+ 42 x4​ x 4​​g=4g
Therefore,
W1​<W2​<W3​ 

NEET Part Test - 1 - Question 5

The ratio of work done by the internal forces of a car in order to change its speed from 0 to V and  from V to 2V is (Assume that the car moves on a horizontal road) -  

Detailed Solution for NEET Part Test - 1 - Question 5

Work done in changing speed from 0 to V is 

work done in changing the speed from V to 2V is 

∴ 

NEET Part Test - 1 - Question 6

A weightless rod of length 2l carries two equal masses 'm', one tied at lower end A and  the other at the middle of the rod at B. The rod can rotate in vertical plane about a fixed horizontal axis passing through C. The rod is released from rest in horizontal position. The speed of the mass B at the instant rod, become vertical is :

Detailed Solution for NEET Part Test - 1 - Question 6

Let v be the speed of B at lowermost position, the speed of A at lowermost position is 2v. From conservation of energy

NEET Part Test - 1 - Question 7

Power versus time graph for a given force is given below. Work done by the force upto time t(<t0).

Detailed Solution for NEET Part Test - 1 - Question 7

The work done by force from time t = 0 to t = t sec. is given by shaded area in graph below.
Hence as t increases, this area increases. 

∴ Work done by force keeps on increasing

NEET Part Test - 1 - Question 8

A motor car is going due north at a speed of 50 km/h. It makes a 90º left turn without changing the speed. The change in the velocity of the car is about 

Detailed Solution for NEET Part Test - 1 - Question 8

Initial velocity is Vn=50 km/h due north, Final velocity is Vw=50 km/h due west. So change in velocity= Final minus initial velocity                  
= Vw-Vn =Vw+(-Vn)  
-Vn is equal in magnitude but opposite in direction to Vn   

As is clear from the picture below, The direction of above resultant is south-west. and its magnitude is = √(50²+50²) ≈ 70 km/h 

NEET Part Test - 1 - Question 9

A body is thrown horizontally with a velocity  from the top of a tower of height h. It strikes the level ground through the foot of the tower at a distance x from the tower. The value of x is

Detailed Solution for NEET Part Test - 1 - Question 9


NEET Part Test - 1 - Question 10

A train is standing on a platform , a man inside a compartment of a train drops a stone . At the same instant train starts to move with constant acceleration . The path of the particle as seen by the person who drops the stone is :

Detailed Solution for NEET Part Test - 1 - Question 10

Relative to the person in the train, acceleration of the stone is 'g' downward, a (acceleration of train) backwards. 
According to him : 

NEET Part Test - 1 - Question 11

P is a point moving with constant speed 10 m/s such that its velocity vector always maintains an angle 60° with line OP as shown in figure (O is a fixed point in space). The initial distance between O and P is 100 m. After what time shall P reach O.

Detailed Solution for NEET Part Test - 1 - Question 11

Velocity of approach of P and O is  = v cos 60° = 5 m/s
It can be seen that velocity of approach is always constant.

∴ P reaches O after = 100/5 = 20 sec. 

NEET Part Test - 1 - Question 12

A mosquito with 8 legs stands on water surface and each leg makes depression of radius ' a'. If the surface tension and angle of contact are ' T ' and zero respectively, then the weight of mosquito is :

Detailed Solution for NEET Part Test - 1 - Question 12

Given that the mosquito has 8 legs, each leg makes a depression of radius 'a' on the water surface. The angle of contact is given as zero, which means the water surface is flat at the point of contact.

Since the angle of contact is zero, the force exerted by surface tension on each leg is acting horizontally. Now, let's consider a single leg of the mosquito. The force exerted by surface tension on the leg (Fs) can be calculated as follows:

Fs = 2 * pi * a * T

Where,
Fs = Force exerted by surface tension on a single leg
a = radius of the depression
T = surface tension

Now, consider all 8 legs of the mosquito. The total force exerted by surface tension on all the legs is:

F_total = 8 * Fs

F_total = 8 * (2 * pi * a * T)

F_total = 16 * pi * a * T

Since the mosquito is at equilibrium, the total force exerted by surface tension must be equal to the weight of the mosquito (W).

W = F_total

W = 16 * pi * a * T

So, the weight of the mosquito is 16 * pi * a * T.

NEET Part Test - 1 - Question 13

The work done in increasing the size of a rectangular soap film with dimensions 8 cm × 3.75 cm to 10 cm × 6 cm is 2 × 10–4 J. The surface tension of the film in N/m is :  

Detailed Solution for NEET Part Test - 1 - Question 13

NEET Part Test - 1 - Question 14

The property of surface tension is to________

Detailed Solution for NEET Part Test - 1 - Question 14

Due to surface tension, the surface area tries to minimize itself. 

NEET Part Test - 1 - Question 15

Two uniform rods of equal length but different masses are rigidly joined to form a L-shaped body, which is then pivoted about O as shown. If in equilibrium  the body is in the shown configuration, ratio M/m will be:

Detailed Solution for NEET Part Test - 1 - Question 15

In equilibrium, torques of forces mg and Mg about an axis passing through O balance each other.
 

NEET Part Test - 1 - Question 16

A large open tank has two small holes in its vertical wall as shown in figure. One is a square hole of side 'L' at a depth '4y' from the top and the other is a circular hole of radius 'R' at a depth ‘y’ from the top. When the tank is completely filled with water, the quantities of water flowing out per second from both holes are the same. Then, 'R' is equal to :

Detailed Solution for NEET Part Test - 1 - Question 16

Let v1 and v2 be the velocity of efflux from square and circular hole respectively.
S1 and S2 be cross-section areas of square and circular holes.
 and 

The volume of water coming out of square and circular hole per second is 
 
∵ Q1 = Q2
∴ 

NEET Part Test - 1 - Question 17

A stationary body explodes into two fragments of masses m1 and m2. If momentum of one fragment is p, the energy of explosion is : 

Detailed Solution for NEET Part Test - 1 - Question 17

By momentum conservation, the momentum of other fragment will be –p Total KE  

NEET Part Test - 1 - Question 18

A shell of mass 2 m projected with a speed ' u ' at an angle θ to the horizontal explodes at the highest point of its motion into two pieces of mass ' m ' each. If one piece whose initial speed is zero, falls vertically, the distance at which the other piece will fall from the gun is given by :

Detailed Solution for NEET Part Test - 1 - Question 18

The COM will fall at distance  from the initial point, irrespective of explosion. Now one particle is at R/2 the other should be at 3R/2.

NEET Part Test - 1 - Question 19

A man of 80 kg attempts to jump from a small boat of mass 40 kg on to the shore. He can generate a relative velocity of 6 m/s between himself and boat. His velocity towards the shore is : 

Detailed Solution for NEET Part Test - 1 - Question 19

Let the velocity of boat be 'V' opposite to the man. By momentum conservation, –40V + 80 (6 – V) = 0 
V = 4 m/s    
velocity of the man = 6 – 4 = 2m/s

NEET Part Test - 1 - Question 20

A block of mass m slides along the track with coefficient of kinetic friction μ. A man pulls the block through a rope which makes an angle θ with the horizontal as shown in the figure. The block moves  with constant speed V. Power delivered by the man is :

Detailed Solution for NEET Part Test - 1 - Question 20

NEET Part Test - 1 - Question 21

A conical pendulum consists of a simple pendulum moving in a horizontal circle as shown in the figure. C is the pivot, O is the centre of the circle in which the pendulum bob moves and ω the constant angular velocity of the bob. If  is the angular momentum about point C, then

    

Detailed Solution for NEET Part Test - 1 - Question 21

The direction of L is perpendicular to the line joining the bob to point C. Since this line keeps changing its orientation in space, direction of L keeps changing however as ω is constant, magnitude of L remain constant.
Aliter : The torque about point is perpendicular to the angular momentum vector about point C. Hence it can only change the direction of L, and not its magnitude.

NEET Part Test - 1 - Question 22

A sphere of mass m and radius r is projected in a gravity free space with speed v. If coefficient of viscosity is 1/6π, the distance travelled by the body before it stops is :  

Detailed Solution for NEET Part Test - 1 - Question 22

The only force acting on the body is the viscous force
Here,   ⇒  

NEET Part Test - 1 - Question 23

Two same masses are tied with equal lengths of strings and are suspended at the same fixed point. One mass is suspended freely whereas another is kept in a way that string is horizontal as shown. This mass is given initial velocity u in vertical downward direction. It strikes the freely suspended mass elastically that is just able to complete the circular motion after the collision about point of suspension O. Magnitude of velocity u is :

Detailed Solution for NEET Part Test - 1 - Question 23

As collision is elastic, freely suspended mass moves acquiring velocity of colliding mass after the collision. Also acquired velocity must be equal to  to complete the circular motion.

 

NEET Part Test - 1 - Question 24

A ring attached with a light spring is fitted in a smooth rod. The spring is fixed at the outer end of the rod. The mass of the ring is 3kg & spring constant of spring is 300 N/m. The ring is given a velocity ‘V’ towards the outer end of the rod  and the rod is set to be rotating with an angular velocity ω. Then ring will move with  constant speed with respect to the rod if

Detailed Solution for NEET Part Test - 1 - Question 24

For the ring to move in a circle at constant speed the net force on it should be zero. Here spring force will provide the necessary centripetal force. 
∴  kx = mxω2

⇒ 

NEET Part Test - 1 - Question 25

A force acts on a body due to which its position varies as Work done by this force in initial 2 seconds is : 

Detailed Solution for NEET Part Test - 1 - Question 25

we know that
∫dW = ∫f.ds
f = 3Ti+5j
ds = 2t2-5j
f.ds = f.ds/dt.dt
ds/dt = 4Ti
∫dW = ∫ (3Ti+5j).(4Ti).dt
W = [4T3]
for t=0 to t=2
W = 32 J

NEET Part Test - 1 - Question 26

A particle A is projected with speed VA from a point making an angle 60º with the horizontal. At the same instant, a second particle B is thrown vertically upwards from a point directly below the maximum height point of parabolic path of A , with velocity VB. If the two particles collide then the ratio of VA/VB should be : 

Detailed Solution for NEET Part Test - 1 - Question 26


NEET Part Test - 1 - Question 27

A uniform rod of density ρ, and length ‘l’ is having square cross-section of side ‘a’. It is placed in a liquid of equal density ρ vertically along length in a tank having sufficient height of liquid. The surface tension of liquid is ‘T’ and angle of contact is 120º. Then :

Detailed Solution for NEET Part Test - 1 - Question 27



NEET Part Test - 1 - Question 28

A rigid body undergoing uniform pure rolling encounters horizontal tracks AB and BC as shown in the figure AB is a smooth layer of ice and BC is a rough surface with μ = 1. Both AB & BC are rigid  tracks. Which of the following statements are CORRECT:

(1) The body will slow down over BC
(2) The body will start slipping on AB
(3) The body remains in pure rolling over the whole stretch AC
(4) The angular velocity of the body remains constant over the whole stretch AC.

Detailed Solution for NEET Part Test - 1 - Question 28

A right body is undergoing uniform pure rolling encounters on the horizontal track. The body will start slipping on AB because the surface is a smooth ice layer and there is no frictional force. The body will slow down over BC because BC is a rough surface with μ=1.

NEET Part Test - 1 - Question 29

A disc of mass m0 rotates freely about a fixed horizontal axis through its centre. A thin cotton pad is fixed to its rim, which can absorb water. The mass of water dripping onto the pad is μ per second. After what time will the angular velocity of the disc get reduced to half of its initial value?

Detailed Solution for NEET Part Test - 1 - Question 29

Conservation of angular momentum 

⇒ 

 

NEET Part Test - 1 - Question 30

A uniform cylinder of mass M and radius R rolls without slipping down a slope of angle θ to the horizontal. The cylinder is connected to a spring constant K while the other end of the spring is connected to a rigid support at P. The cylinder is released when the spring is unstretched. The maximum distance that the cylinder travels is

Detailed Solution for NEET Part Test - 1 - Question 30


Potential energy of spring 
Workdone by gravity = mg sineθx.
By energy conservations, 

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