JEE Main 2021 (16 Mar Shift 1) JEE Main Previous Year Paper
Question Paper MathonGo
Q1. The velocity-displacement graph describing the motion of a bicycle is shown in the figure.
The acceleration-displacement graph of the bicycle's motion is best described by :
(1) (2)
(3) (4)
Q2. A block of 200 g mass moves with a uniform speed in a horizontal circular groove, with vertical side walls of
radius 20 cm . If the block takes 40 s to complete one round, the normal force by the side walls of the groove is:
(1) 0. 0314 N (2) 9. 859 × 10 −2
N
(3) 6. 28 × 10 −3
N (4) 9. 859 × 10 −4
N
Q3. A block of mass m slides along a floor while a force of magnitude F is applied to it at an angle θ as shown in
figure. The coefficient of kinetic friction is μK . Then, the block's acceleration a is given by : (g is acceleration
due to gravity)
(1) − F
m
cos θ − μ K (g −
F
m
sin θ) (2) F
m
cos θ − μ K (g −
F
m
sin θ)
(3) F
m
cos θ − μ K (g +
F
m
sin θ) (4) F
m
cos θ + μ K (g −
F
m
sin θ)
Q4. The maximum and minimum distances of a comet from the Sun are 1. 6 × 10 12
m and 8. 0 × 10 10
m
respectively. If the speed of the comet at the nearest point is 6 × 10 4
m s
−1
, the speed at the farthest point is
(1) 1. 5 × 10 3
m s
−1
(2) 6. 6 × 10 3
m s
−1
(3) 3. 0 × 10 3
m s
−1
(4) 4. 5 × 10 3
m s
−1
Q5. Four equal masses, m each are placed at the corners of a square of length (l) as shown in the figure. The
moment of inertia of the system about an axis passing through A and parallel to DB would be :
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, JEE Main 2021 (16 Mar Shift 1) JEE Main Previous Year Paper
Question Paper MathonGo
(1) ml 2
(2) 2 ml 2
(3) 3 ml 2
(4) √3 ml 2
Q6. The pressure acting on a submarine is 3 × 10 5
Pa at a certain depth. If the depth is doubled, the percentage
increase in the pressure acting on the submarine would be: (Assume that atmospheric pressure is 1 × 10 5
Pa
density of water is 10 3
kg m
−3
, g = 10 ms
−2
)
(1) 200
3
% (2) 200
5
%
(3) 200
5
% (4) 3
200
%
Q7. In thermodynamics, heat and work are :
(1) Path functions (2) Intensive thermodynamic state variables
(3) Extensive thermodynamic state variables (4) Point functions
Q8. The volume V of an enclosure contains a mixture of three gases, 16 g of oxygen, 28 g of nitrogen and 44 g of
carbon dioxide at absolute temperature T . Consider R as universal gas constant. The pressure of the mixture of
gases is :
(1) 88RT
V
(2) 3RT
V
(3) 5
2
RT
V
(4) 4RT
V
Q9. Time period of a simple pendulum is T inside a lift when the lift is stationary. If the lift moves upwards with an
acceleration g
2
, the time period of pendulum will be :
(1) √3T (2) T
√3
(3) √ 3
T
(4) √ 2
T
2 3
Q10. A 25 m long antenna is mounted on an antenna tower. The height of the antenna tower is 75 m. The
wavelength (in meter) of the signal transmitted by this antenna would be :
(1) 300 (2) 400
(3) 200 (4) 100
Q11. For changing the capacitance of a given paralle plate capacitor, a dielectric material of dielectric constant K is
used, which has the same area as the plates of the capacitor. The thickness of the dielectric slab is 3
4
, where d
d
is the separation between the plates of parallel plate capacitor. The new capacitance C in terms of original ′
capacitance C is given by the following relation :
0
(1) C ′
=
3+K
4K
C0 (2) C ′
=
4+K
3
C0
(3) C ′
=
4K
K+3
C0 (4) C ′
=
3+K
4
C0
Q12. A conducting wire of length l, area of crosssection A and electric resistivity ρ is connected between the
terminals of a battery. A potential difference V is developed between its ends, causing an electric current. If the
Join the Most Relevant Test Series for JEE Main with Most Detailed & Advanced Analysis here: https://links.mathongo.com/mWN
Question Paper MathonGo
Q1. The velocity-displacement graph describing the motion of a bicycle is shown in the figure.
The acceleration-displacement graph of the bicycle's motion is best described by :
(1) (2)
(3) (4)
Q2. A block of 200 g mass moves with a uniform speed in a horizontal circular groove, with vertical side walls of
radius 20 cm . If the block takes 40 s to complete one round, the normal force by the side walls of the groove is:
(1) 0. 0314 N (2) 9. 859 × 10 −2
N
(3) 6. 28 × 10 −3
N (4) 9. 859 × 10 −4
N
Q3. A block of mass m slides along a floor while a force of magnitude F is applied to it at an angle θ as shown in
figure. The coefficient of kinetic friction is μK . Then, the block's acceleration a is given by : (g is acceleration
due to gravity)
(1) − F
m
cos θ − μ K (g −
F
m
sin θ) (2) F
m
cos θ − μ K (g −
F
m
sin θ)
(3) F
m
cos θ − μ K (g +
F
m
sin θ) (4) F
m
cos θ + μ K (g −
F
m
sin θ)
Q4. The maximum and minimum distances of a comet from the Sun are 1. 6 × 10 12
m and 8. 0 × 10 10
m
respectively. If the speed of the comet at the nearest point is 6 × 10 4
m s
−1
, the speed at the farthest point is
(1) 1. 5 × 10 3
m s
−1
(2) 6. 6 × 10 3
m s
−1
(3) 3. 0 × 10 3
m s
−1
(4) 4. 5 × 10 3
m s
−1
Q5. Four equal masses, m each are placed at the corners of a square of length (l) as shown in the figure. The
moment of inertia of the system about an axis passing through A and parallel to DB would be :
Join the Most Relevant Test Series for JEE Main with Most Detailed & Advanced Analysis here: https://links.mathongo.com/mWN
, JEE Main 2021 (16 Mar Shift 1) JEE Main Previous Year Paper
Question Paper MathonGo
(1) ml 2
(2) 2 ml 2
(3) 3 ml 2
(4) √3 ml 2
Q6. The pressure acting on a submarine is 3 × 10 5
Pa at a certain depth. If the depth is doubled, the percentage
increase in the pressure acting on the submarine would be: (Assume that atmospheric pressure is 1 × 10 5
Pa
density of water is 10 3
kg m
−3
, g = 10 ms
−2
)
(1) 200
3
% (2) 200
5
%
(3) 200
5
% (4) 3
200
%
Q7. In thermodynamics, heat and work are :
(1) Path functions (2) Intensive thermodynamic state variables
(3) Extensive thermodynamic state variables (4) Point functions
Q8. The volume V of an enclosure contains a mixture of three gases, 16 g of oxygen, 28 g of nitrogen and 44 g of
carbon dioxide at absolute temperature T . Consider R as universal gas constant. The pressure of the mixture of
gases is :
(1) 88RT
V
(2) 3RT
V
(3) 5
2
RT
V
(4) 4RT
V
Q9. Time period of a simple pendulum is T inside a lift when the lift is stationary. If the lift moves upwards with an
acceleration g
2
, the time period of pendulum will be :
(1) √3T (2) T
√3
(3) √ 3
T
(4) √ 2
T
2 3
Q10. A 25 m long antenna is mounted on an antenna tower. The height of the antenna tower is 75 m. The
wavelength (in meter) of the signal transmitted by this antenna would be :
(1) 300 (2) 400
(3) 200 (4) 100
Q11. For changing the capacitance of a given paralle plate capacitor, a dielectric material of dielectric constant K is
used, which has the same area as the plates of the capacitor. The thickness of the dielectric slab is 3
4
, where d
d
is the separation between the plates of parallel plate capacitor. The new capacitance C in terms of original ′
capacitance C is given by the following relation :
0
(1) C ′
=
3+K
4K
C0 (2) C ′
=
4+K
3
C0
(3) C ′
=
4K
K+3
C0 (4) C ′
=
3+K
4
C0
Q12. A conducting wire of length l, area of crosssection A and electric resistivity ρ is connected between the
terminals of a battery. A potential difference V is developed between its ends, causing an electric current. If the
Join the Most Relevant Test Series for JEE Main with Most Detailed & Advanced Analysis here: https://links.mathongo.com/mWN
