MEDIUM
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IMPORTANT
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The length of a seconds pendulum at a height h=2R from earth surface will be:

(Given: R= Radius of earth and acceleration due to gravity at the surface of earth g=π2 m s-2)

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Important Questions on Oscillations

HARD
JEE Main
IMPORTANT
When a particle executes simple Harmonic motion, the nature of graph of velocity as function of displacement will be
HARD
JEE Main
IMPORTANT

As per given figures, two springs of spring constants K and 2 K are connected to mass m. If the period of oscillation in figure (a) is 3 s, then the period of oscillation in figure (b) will be x s. The value of x is _____ .

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MEDIUM
JEE Main
IMPORTANT
A mass 0.9 kg, attached to a horizontal spring, executes SHM with an amplitude A1. When this mass passes through its mean position, then a smaller mass of 124 g is placed over it and both masses move together with amplitude A2. If the ratio A1A2 is αα-1, then the value of α will be _____ .
MEDIUM
JEE Main
IMPORTANT
Assume there are two identical simple pendulum Clocks-1 is placed on the earth and Clock-2 is placed on a space station located at a height h above the earth surface. Clock-1 and Clock-2 operate at time periods 4 s and 6 s respectively. Then the value of h is -
(consider radius of earth RE=6400 km and g on earth 10 m s-2)
HARD
JEE Main
IMPORTANT
The potential energy of a particle of mass 4 kg in motion along the x-axis is given by U=41-cos4x J. The time period of the particle for small oscillation sinθθ πK s. The value of K is _____ .
MEDIUM
JEE Main
IMPORTANT
The time period of oscillation of a simple pendulum of length L suspended from the roof of a vehicle, which moves without friction down an inclined plane of inclination α, is given by :
HARD
JEE Main
IMPORTANT
The metallic bob of simple pendulum has the relative density 5. The time period of this pendulum is 10 s. If the metallic bob is immersed in water, then the new time period becomes 5x s. The value of x will be _____ .
MEDIUM
JEE Main
IMPORTANT

A block of mass 2 kg is attached with two identical springs of spring constant 20 N m-1 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 πX in SI unit. The value of X is______.

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