1
JEE Main 2020 (Online) 8th January Evening Slot
+4
-1
A simple pendulum is being used to determine th value of gravitational acceleration g at a certain place. Th length of the pendulum is 25.0 cm and a stop watch with 1s resolution measures the time taken for 40 oscillations to be 50 s. The accuracy in g is :
A
4.40%
B
3.40%
C
2.40%
D
5.40%
2
JEE Main 2019 (Online) 10th April Morning Slot
+4
-1
Out of Syllabus
The displacement of a damped harmonic oscillator is given by
x(t ) = e–0.1t cos (10$$\pi$$t + f).
Here t is in seconds. The time taken for its amplitude of vibration to drop to half of its initial value is close to :
A
27 s
B
13 s
C
7 s
D
4 s
3
JEE Main 2019 (Online) 8th April Evening Slot
+4
-1
Out of Syllabus
A damped harmonic oscillator has a frequency of 5 oscillations per second. The amplitude drops to half its value for every 10 oscillations. The time it will take to drop to 1/1000 of the original amplitude is close to :-
A
100 s
B
10 s
C
20 s
D
50 s
4
JEE Main 2019 (Online) 12th January Evening Slot
+4
-1
A simple harmonic motion is represented by :

y = 5 (sin 3 $$\pi$$ t + $$\sqrt 3$$ cos 3 $$\pi$$t) cm

The amplitude and time period of the motion are :
A
10 cm, $${3 \over 2}$$ s
B
5 cm, $${2 \over 3}$$ s
C
5 cm, $${3 \over 2}$$ s
D
10 cm, $${2 \over 3}$$ s
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