1
JEE Main 2021 (Online) 1st September Evening Shift
+4
-1
A mass of 5 kg is connected to a spring. The potential energy curve of the simple harmonic motion executed by the system is shown in the figure. A simple pendulum of length 4 m has the same period of oscillation as the spring system. What is the value of acceleration due to gravity on the planet where these experiments are performed?

A
10 m/s2
B
5 m/s2
C
4 m/s2
D
9.8 m/s2
2
JEE Main 2021 (Online) 31st August Evening Shift
+4
-1
A bob of mass 'm' suspended by a thread of length l undergoes simple harmonic oscillations with time period T. If the bob is immersed in a liquid that has density $${1 \over 4}$$ times that of the bob and the length of the thread is increased by 1/3rd of the original length, then the time period of the simple harmonic oscillations will be :-
A
T
B
$${3 \over 2}$$T
C
$${3 \over 4}$$T
D
$${4 \over 3}$$T
3
JEE Main 2021 (Online) 31st August Evening Shift
+4
-1
For a body executing S.H.M. :

(1) Potential energy is always equal to its K.E.

(2) Average potential and kinetic energy over any given time interval are always equal.

(3) Sum of the kinetic and potential energy at any point of time is constant.

(4) Average K.E. in one time period is equal to average potential energy in one time period.

Choose the most appropriate option from the options given below :
A
(3) and (4)
B
only (3)
C
(2) and (3)
D
only (2)
4
JEE Main 2021 (Online) 27th August Morning Shift
+4
-1
The variation of displacement with time of a particle executing free simple harmonic motion is shown in the figure.

The potential energy U(x) versus time (t) plot of the particle is correctly shown in figure :
A
B
C
D
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