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JEE Main 2021 (Online) 17th March Morning Shift
Numerical
+4
-1
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 Tb/Ta = $$\sqrt x$$, where value of x is ___________. (Round off to the Nearest Integer)

2
JEE Main 2021 (Online) 26th February Evening Shift
Numerical
+4
-1
A 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 $${{\sqrt x a} \over 2}$$. The value of x is __________.
3
JEE Main 2021 (Online) 26th February Evening Shift
Numerical
+4
-1
Time period of a simple pendulum is T. The time taken to complete $${5 \over 8}$$ oscillations starting from mean position is $${\alpha \over \beta }T$$. The value of $$\alpha$$ is _________.