JEE Mains Previous Year Questions (2021): Oscillations | Physics for JEE Main & Advanced PDF Download

 Page 1


Numerical 
Q.1 A particle of mass 1 kg is hanging from a spring of force constant 100 Nm
-1
. The 
mass is pulled slightly downward and released so that it executes free simple 
harmonic motion with time period T. The time when the kinetic energy and 
potential energy of the system will become equal, is 
?? ?? The value of x is _____________. 
31st Aug Morning Shift 2021 
 
Q.2 Two simple harmonic motion, are represented by the equations 
 
 Ratio of amplitude of y
1
 to y
2
 = x : 1. The value of x is 
______________. 
27st Aug Evening Shift 2021 
 
Q.3 Two simple harmonic motions are represented by the equations 
 
26st Aug Evening Shift 2021 
Page 2


Numerical 
Q.1 A particle of mass 1 kg is hanging from a spring of force constant 100 Nm
-1
. The 
mass is pulled slightly downward and released so that it executes free simple 
harmonic motion with time period T. The time when the kinetic energy and 
potential energy of the system will become equal, is 
?? ?? The value of x is _____________. 
31st Aug Morning Shift 2021 
 
Q.2 Two simple harmonic motion, are represented by the equations 
 
 Ratio of amplitude of y
1
 to y
2
 = x : 1. The value of x is 
______________. 
27st Aug Evening Shift 2021 
 
Q.3 Two simple harmonic motions are represented by the equations 
 
26st Aug Evening Shift 2021 
 
Q.4 A particle executes simple harmonic motion represented by displacement 
function as 
 
 
27th July Evening Shift 2021 
 
Q.5 A pendulum bob has a speed of 3 m/s at its lowest position. The pendulum is 50 
cm long. The speed of bob, when the length makes an angle of 60
°
 to the vertical will 
be (g = 10 m/s
2
) ____________ m/s. 
27th July Morning Shift 2021 
 
Q.6 A particle performs simple harmonic motion with a period of 2 second. The time 
taken by the particle to cover a displacement equal to half of its amplitude from the 
mean position is 
1
?? The value of 'a' to the nearest integer is _________. 
18th Mar Morning Shift 2021 
 
Q.7 Consider two identical springs each of spring constant k and negligible mass 
compared to the mass M as shown. Fig. 1 shows one of them and Fig. 2 shows their 
series combination. The ratios of time period of oscillation of the two SHM is 
where value of x is ___________. (Round off to the Nearest Integer) 
Page 3


Numerical 
Q.1 A particle of mass 1 kg is hanging from a spring of force constant 100 Nm
-1
. The 
mass is pulled slightly downward and released so that it executes free simple 
harmonic motion with time period T. The time when the kinetic energy and 
potential energy of the system will become equal, is 
?? ?? The value of x is _____________. 
31st Aug Morning Shift 2021 
 
Q.2 Two simple harmonic motion, are represented by the equations 
 
 Ratio of amplitude of y
1
 to y
2
 = x : 1. The value of x is 
______________. 
27st Aug Evening Shift 2021 
 
Q.3 Two simple harmonic motions are represented by the equations 
 
26st Aug Evening Shift 2021 
 
Q.4 A particle executes simple harmonic motion represented by displacement 
function as 
 
 
27th July Evening Shift 2021 
 
Q.5 A pendulum bob has a speed of 3 m/s at its lowest position. The pendulum is 50 
cm long. The speed of bob, when the length makes an angle of 60
°
 to the vertical will 
be (g = 10 m/s
2
) ____________ m/s. 
27th July Morning Shift 2021 
 
Q.6 A particle performs simple harmonic motion with a period of 2 second. The time 
taken by the particle to cover a displacement equal to half of its amplitude from the 
mean position is 
1
?? The value of 'a' to the nearest integer is _________. 
18th Mar Morning Shift 2021 
 
Q.7 Consider two identical springs each of spring constant k and negligible mass 
compared to the mass M as shown. Fig. 1 shows one of them and Fig. 2 shows their 
series combination. The ratios of time period of oscillation of the two SHM is 
where value of x is ___________. (Round off to the Nearest Integer) 
 
17th Mar Morning Shift 2021 
 
Q.8 Time period of a simple pendulum is T. The time taken to complete 
5
8
 scillations 
starting from mean position is 
?? ?? T The value of a is _________. 
26th Feb Evening Shift 2021 
 
Q.9A particle executes S.H.M. with amplitude 'a', and time period 'T'. The 
displacement of the particle when its speed is half of maximum speed is  The 
value of x is __________. 
26th Feb Evening Shift 2021 
 
Q.10 A uniform metallic wire is elongated by 0.04 m when subjected to a linear 
force F. The elongation, if its length and diameter is doubled and subjected to the 
same force will be ________ cm. 
24th Feb Evening Shift 2021 
 
 
 
 
Page 4


Numerical 
Q.1 A particle of mass 1 kg is hanging from a spring of force constant 100 Nm
-1
. The 
mass is pulled slightly downward and released so that it executes free simple 
harmonic motion with time period T. The time when the kinetic energy and 
potential energy of the system will become equal, is 
?? ?? The value of x is _____________. 
31st Aug Morning Shift 2021 
 
Q.2 Two simple harmonic motion, are represented by the equations 
 
 Ratio of amplitude of y
1
 to y
2
 = x : 1. The value of x is 
______________. 
27st Aug Evening Shift 2021 
 
Q.3 Two simple harmonic motions are represented by the equations 
 
26st Aug Evening Shift 2021 
 
Q.4 A particle executes simple harmonic motion represented by displacement 
function as 
 
 
27th July Evening Shift 2021 
 
Q.5 A pendulum bob has a speed of 3 m/s at its lowest position. The pendulum is 50 
cm long. The speed of bob, when the length makes an angle of 60
°
 to the vertical will 
be (g = 10 m/s
2
) ____________ m/s. 
27th July Morning Shift 2021 
 
Q.6 A particle performs simple harmonic motion with a period of 2 second. The time 
taken by the particle to cover a displacement equal to half of its amplitude from the 
mean position is 
1
?? The value of 'a' to the nearest integer is _________. 
18th Mar Morning Shift 2021 
 
Q.7 Consider two identical springs each of spring constant k and negligible mass 
compared to the mass M as shown. Fig. 1 shows one of them and Fig. 2 shows their 
series combination. The ratios of time period of oscillation of the two SHM is 
where value of x is ___________. (Round off to the Nearest Integer) 
 
17th Mar Morning Shift 2021 
 
Q.8 Time period of a simple pendulum is T. The time taken to complete 
5
8
 scillations 
starting from mean position is 
?? ?? T The value of a is _________. 
26th Feb Evening Shift 2021 
 
Q.9A particle executes S.H.M. with amplitude 'a', and time period 'T'. The 
displacement of the particle when its speed is half of maximum speed is  The 
value of x is __________. 
26th Feb Evening Shift 2021 
 
Q.10 A uniform metallic wire is elongated by 0.04 m when subjected to a linear 
force F. The elongation, if its length and diameter is doubled and subjected to the 
same force will be ________ cm. 
24th Feb Evening Shift 2021 
 
 
 
 
Numerical Answer Key 
 
1. Ans. (8)  10. Ans. (2)  
2. Ans. (1) 
3. Ans. (2) 
4. Ans. (2) 
5. Ans. (2) 
6. Ans. (6) 
7. Ans. (2) 
8. Ans. (7) 
9. Ans. (3)  
 
 
 
 
 
 
Numerical Explanation 
 
Ans 1.  
 
 
Page 5


Numerical 
Q.1 A particle of mass 1 kg is hanging from a spring of force constant 100 Nm
-1
. The 
mass is pulled slightly downward and released so that it executes free simple 
harmonic motion with time period T. The time when the kinetic energy and 
potential energy of the system will become equal, is 
?? ?? The value of x is _____________. 
31st Aug Morning Shift 2021 
 
Q.2 Two simple harmonic motion, are represented by the equations 
 
 Ratio of amplitude of y
1
 to y
2
 = x : 1. The value of x is 
______________. 
27st Aug Evening Shift 2021 
 
Q.3 Two simple harmonic motions are represented by the equations 
 
26st Aug Evening Shift 2021 
 
Q.4 A particle executes simple harmonic motion represented by displacement 
function as 
 
 
27th July Evening Shift 2021 
 
Q.5 A pendulum bob has a speed of 3 m/s at its lowest position. The pendulum is 50 
cm long. The speed of bob, when the length makes an angle of 60
°
 to the vertical will 
be (g = 10 m/s
2
) ____________ m/s. 
27th July Morning Shift 2021 
 
Q.6 A particle performs simple harmonic motion with a period of 2 second. The time 
taken by the particle to cover a displacement equal to half of its amplitude from the 
mean position is 
1
?? The value of 'a' to the nearest integer is _________. 
18th Mar Morning Shift 2021 
 
Q.7 Consider two identical springs each of spring constant k and negligible mass 
compared to the mass M as shown. Fig. 1 shows one of them and Fig. 2 shows their 
series combination. The ratios of time period of oscillation of the two SHM is 
where value of x is ___________. (Round off to the Nearest Integer) 
 
17th Mar Morning Shift 2021 
 
Q.8 Time period of a simple pendulum is T. The time taken to complete 
5
8
 scillations 
starting from mean position is 
?? ?? T The value of a is _________. 
26th Feb Evening Shift 2021 
 
Q.9A particle executes S.H.M. with amplitude 'a', and time period 'T'. The 
displacement of the particle when its speed is half of maximum speed is  The 
value of x is __________. 
26th Feb Evening Shift 2021 
 
Q.10 A uniform metallic wire is elongated by 0.04 m when subjected to a linear 
force F. The elongation, if its length and diameter is doubled and subjected to the 
same force will be ________ cm. 
24th Feb Evening Shift 2021 
 
 
 
 
Numerical Answer Key 
 
1. Ans. (8)  10. Ans. (2)  
2. Ans. (1) 
3. Ans. (2) 
4. Ans. (2) 
5. Ans. (2) 
6. Ans. (6) 
7. Ans. (2) 
8. Ans. (7) 
9. Ans. (3)  
 
 
 
 
 
 
Numerical Explanation 
 
Ans 1.  
 
 
 
 
Ans 2.  
 
 
Ans 3. 
 
Ans 4.