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JEE Main 2023 (Online) 29th January Evening Shift
Numerical
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A particle of mass 250 g executes a simple harmonic motion under a periodic force $$\mathrm{F}=(-25~x)\mathrm{N}$$. The particle attains a maximum speed of 4 m/s during its oscillation. The amplitude of the motion is ___________ cm.

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2
JEE Main 2023 (Online) 24th January Evening Shift
Numerical
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A mass m attached to free end of a spring executes SHM with a period of 1s. If the mass is increased by 3 kg the period of the oscillation increases by one second, the value of mass m is ___________ kg.

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3
JEE Main 2023 (Online) 24th January Morning Shift
Numerical
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-1
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JEE Main 2023 (Online) 24th January Morning Shift Physics - Simple Harmonic Motion Question 28 English

A block of a mass 2 kg is attached with two identical springs of spring constant 20 N/m each. The block is placed on a frictionless surface and the ends of the springs are attached to rigid supports (see figure). When the mass is displaced from its equilibrium position, it executes a simple harmonic motion. The time period of oscillation is $$\frac{\pi}{\sqrt x}$$ in SI unit. The value of $$x$$ is ____________.

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4
JEE Main 2022 (Online) 29th July Evening Shift
Numerical
+4
-1
Change Language

The metallic bob of simple pendulum has the relative density 5. The time period of this pendulum is $$10 \mathrm{~s}$$. If the metallic bob is immersed in water, then the new time period becomes $$5 \sqrt{x}$$ s. The value of $$x$$ will be ________.

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