ALLEN

MAceraa
CAREER INSTITUTE
KOTA (RAJASTHAN)
Nurture Couse/Rank Promoting Test/P-l13
Guwahati Center

Time:60 min.
RPT (P-13) Total Marks : 63

SECTION-I())
Straight Objective Type (3 Marks each, -1 for wrong answer)
Tension in string AB is (Given AB is massless string and g = 10m/s').

T6ON

B
3kg

(A)60 N (B) 30 N (C) 45 N (D)Zero

2 A 50kgperson stands on a 25 kg platform. He pulls on the rope which is attached to the platform via the
frictionless pulleys as shown in the figure. The platform moves upwards at a steady rate if the force with
which the person pulls the rope is :

(A) 500 N (B) 250N (C) 25 N (D) None

3 A block of mass m slides down on a wedge of mass M as shown in figure. Let , be the acceleration of
the wedge and a, the acceleration of block w.r.t. ground. N, is the normal reaction between block and
wedge and N, the normal reaction between wedge and ground. Friction is absent everywhere. Select
the incorrect altemative

(A) N,< (M + m)g (B) N, = m(g cose -l, Isin) M

(C) N, sin 0 = Ml,lI (D) må, =-M å,

Three blocks are connected by strings and pulled by aforce F= 60 Nas shown in figure. If m, =10 kg.
m, =20 kg and m, =30 kg, then

(A)Acceleration of the system is 2 m/s? (B)Acceleration of the system is 5 m/s?

(C) T, = 10N& T,= 30 N (D)T, = 20 N & T, = 40 N

5. A
lift is moving with acceleration 3 m/sec'. Three masses are put as shown in figure. Find the normal
contact force exerted by floor of lift onmass m,. (m,=5Skg, m, = 3kg and m, =1kg)

m, =3m/sec'
m,
m,

(A) 116 N (B) 117 N (C) 52 N (D) 13 N

PHYSICS /RPT #13 E-1

 ALLEN
CAREER INSTITUTE
KOTA (RAJASTHAN)
Guwahati Center
Torget :JEE (Moin +Advanced) 2025
6. Aman of mass m,holding one end of a massless inextensible string that passes over the smooth pulley,
isaccelerating up while standing on a platform of mass m,. Find the force applied by the man on the
platform, if itmoves up with an upward acceleration 'a'.

(A) mg (B) m,(g + a) (C)

(m, -m,) -g (D) m-Mz(g +a)
2 2

7 Asmooth wedge of mass Mis pushed with an acceleration a = g tan0 anda block of mass m is projected
down the slant with a velocity v relative to the wedge. The most CORRECT statement is:

(A)The time taken by the block to reach the ground is

M
(B)The normal reaction between wedge and block is mgsec a = gtan

(C) The normal reaction offered by ground to the wedge is (M + m)g

(D) All of the above
8. A helicopter of mass Mis carrying a box of mass m at the end of a rope and is moving
constant acceleration 'a'. The acceleration due to gravity is 'g'. Neglect air resistance. Thehorizontall
ywith
rope is stretched
out from the helicopter at a constant angle to the vertical. What is this angle?

(A) sin® =alg (B) cos® = alg (C) tan® = alg (D) sinð = ma/(Mg)
9.
ABCDis an elastic string of natural length 3 m andparticles of equal mass are attached to the
unstretched
slring at points B and Cwhere AB = BC=CD, The ends Aand D are then attached to two points on the
same horizontal level and 3 m apart. The particles hang in equilibrium so that the string
CD are each at 60 to the horizontal. Force constant of the string is sections AB and
50 N/m.
2
(A)Extension in AB is m 3m

60°

2
(B) Extension in BC is m

(C) Extension in AB is equal to

extension in BC.
(D) Mass of each particle is 5kg.
E-2 PHYSICS /RPT #13
 ALLEN
CAREER INSTITUTE
KOTA (RAJASTHAN) Nurture Course/Rank Promoting Test/P-13
Guwahati enter

SECTION-I(ii)
Multiple Correct Answer Type (4 Marks each, -1 for wrong answer)
J8. Two blocks of mass 2kg and 3kg are connected bylight strings as shown in the figure. The system is in
equilibrium :

3kg
(A)Tension in string 1 is 30ON. (B) Tension in strings 3 and 4 are equal
(C)Tension in string 2 is 50 N. (D) Tension in string 4 is 30 N.
lrShown system is released at t =0. Select correct statement(s) about subsequent motion of blocks.
Here strings are massless and pulley is frictionless & massless. [g = 10m/s]
R
Sm ooth T
Pulley

(A) Acceleration of A is equal to 1 m/s² (B)Tension T,-5N

(C) Tension T,-9N (D) Clamp force on pulley is 9N.
12.Figure shows a spring and apulley, block system in equilibrium
(A)Net force on pulleyis 3mg.
3mg )mass of pulley=m
(B) Elongation of spring will be K
Dm
(C) If block m is detached, pulley will have acceleration 2gT
(D) If block mis detached, pulley will have acceleration g

PHYSICS / RPT #13 E-3

 ALLEN
Target :JEE (Main +Advanced) 2025
CAREER INSTITUTE
Aar cerad
KOTA (RAJASTHAN)
Guwahati Center

SECTION-I(ii)
Linked Comprehension Type (Single Correct Answer Type) (3 Marks each, -1 for wrong answer)
Paragraph for Question No 13 and 14
Ablock of mass mconnected to aspring on a wedge as shown in figure. Wedge is accelerated towards
right.

53°
Which of the following free body diagram is CORRECT w.r.t wedge :
sprnng
Rpring sping
AN
(A) (B) (C) ma
N (D) ma
mg V mg Vmg mg
Which of the following statement is CORRECT
(A) If a=g spring will be compressed.
4g
(B) If a = 3 spring wil be in natural length
(C)Normal reaction between block and wedge reduces as acceleration of wedge is increased.
(D) None
Paragraph for Question 15 and 16
A system of two blocks are connected by the heavy rod of mass = 10 kg
and length is 5m. Forces of
100N and 40 N are applied on block of 8 kg and 2 kg respectively. All surfaces are smooth.
2m

40NE 2kgAMIAATHTNY 8kg >100N

18. Find the acceleration of 2 kg block :
(A)3 m/s? (B)6 m/s? (C) 5 m/s? (D) 10 m/s2
6. Find the tension at point A on heavy rod which is 2 m away from the end of 2 kg
block as shown in
figure:
(A) 42 N (B) 52 N (C) 58 N (D) 62 N
 ALLEN
CAREERRAJASTHAN
KOTA INSTITUTE
Nurture Course/Rank Promoting Test/P.13
GuwahatiCenter SECTION-IV
Numerical Grid Type (Single digit Ranging from0 to 9) (4 Marks each, -1 for wrong answer)
hro blocks of masses 4 kg and 5kg are at reston the ground. The masses are connected by amassless
SPSngovera smooth and light pulley. A 200 Nforce is applied on the pulley. Find the difference
in accelerations ofblocks in m/s?.
200N

AAkg Skgl B
respectively. Spring
The system shown in figure is in equilibrium. Masses m, and m, are 2 kg and 2.5 kg
constants K, , K, and K, are 200 Nm, 1000 Nm'& 500 Nm-respectively. If the elongation in spring
A is 20 cm and the compression in spring C is lcm then find out the elongation
in spring B in cm.

m,

connecting blocks of 1 kg and 2 kg is 50

In the given figure the maximum value of tension in the string The time (in sec) at which
N.Aforce varying with time F=15 tis applied on the 1 kg block as shown.
the string breaks is :
HIkg

2kg

ANSWER KEY
|RPT #12
SECTION-I()
3. (C) 4. (A) 5. (B) 6. (A)
1. (D) 2. (A)
9. (D) 10. (C) 11. (A) 12. (B)
7. (A) 8. (B)
13. (C)
SECTION-I(ii)
14. (A,B,C,D) 15. (B,C)
SECTION-I(ii)
16. (D) 17. (D)
SECTION-II
1. (A)QRST (B) QRST (C) QRST (D) QRST
2. (A-P,T; (B)-Q,S; (C)-Q,T; (D)-R,T
E-5
PHYSICS IRPT # 13