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1
JEE Main 2021 (Online) 17th March Evening Shift
+4
-1
Two particles A and B of equal masses are suspended from two massless springs of spring constants K1 and K2 respectively. If the maximum velocities during oscillations are equal, the ratio of the amplitude of A and B is
A
$${{{K_1}} \over {{K_2}}}$$
B
$$\sqrt {{{{K_1}} \over {{K_2}}}}$$
C
$${{{K_2}} \over {{K_1}}}$$
D
$$\sqrt {{{{K_2}} \over {{K_1}}}}$$
2
JEE Main 2021 (Online) 17th March Evening Shift
+4
-1
A block of mass 1 kg attached to a spring is made to oscillate with an initial amplitude of 12 cm. After 2 minutes the amplitude decreases to 6 cm. Determine the value of the damping constant for this motion . (take ln 2 = 0.693)
A
0.69 $$\times$$ 102 kg s$$-$$1
B
3.3 $$\times$$ 102 kg s$$-$$1
C
1.16 $$\times$$ 10$$-$$2 kg s$$-$$1
D
5.7 $$\times$$ 10$$-$$3 kg s$$-$$1
3
JEE Main 2021 (Online) 16th March Evening Shift
+4
-1
Amplitude of a mass-spring system, which is executing simple harmonic motion decreases with time. If mass = 500g, Decay constant = 20 g/s then how much time is required for the amplitude of the system to drop to drop to half of its initial value? (ln 2 = 0.693)
A
17.32 s
B
34.65 s
C
0.034 s
D
15.01 s
4
JEE Main 2021 (Online) 16th March Morning Shift
$$\sqrt 3 T$$
$$\sqrt {{2 \over 3}} T$$
$${T \over {\sqrt 3 }}$$
$$\sqrt {{3 \over 2}} T$$