MEDIUM
JEE Main
IMPORTANT
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The length of a seconds pendulum at a height from earth surface will be:
(Given: Radius of earth and acceleration due to gravity at the surface of earth )
(a)
(b)
(c)
(d)

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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 and are connected to mass . If the period of oscillation in figure (a) is , then the period of oscillation in figure (b) will be . The value of is _____ .

MEDIUM
JEE Main
IMPORTANT
A mass , attached to a horizontal spring, executes SHM with an amplitude . When this mass passes through its mean position, then a smaller mass of is placed over it and both masses move together with amplitude . If the ratio is , then the value of will be _____ .

MEDIUM
JEE Main
IMPORTANT
Assume there are two identical simple pendulum Clocks- is placed on the earth and Clock- is placed on a space station located at a height h above the earth surface. Clock- and Clock- operate at time periods and respectively. Then the value of is -
(consider radius of earth and on earth )

HARD
JEE Main
IMPORTANT
The potential energy of a particle of mass in motion along the -axis is given by . The time period of the particle for small oscillation . The value of is _____ .

MEDIUM
JEE Main
IMPORTANT
The time period of oscillation of a simple pendulum of length suspended from the roof of a vehicle, which moves without friction down an inclined plane of inclination , is given by :

HARD
JEE Main
IMPORTANT
The metallic bob of simple pendulum has the relative density . The time period of this pendulum is . If the metallic bob is immersed in water, then the new time period becomes . The value of will be _____ .

MEDIUM
JEE Main
IMPORTANT
A block of mass is attached with two identical springs of spring constant 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 in SI unit. The value of is______.
