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Which case established the 'Basic Structure Doctrine' of the Indian Constitution?

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Important Questions on Structure of Atom

EASY
Chemistry>Physical Chemistry>Structure of Atom>Dalton's Idea of Atom
For a particle performing linear SHM, its average speed over one oscillation is (A= amplitude of S.H.M., n= frequency of oscillation)
MEDIUM
Chemistry>Physical Chemistry>Structure of Atom>Dalton's Idea of Atom
The number of natural numbers less than 7000 which can be formed by using the digits 0, 1, 3, 7, 9 (repetition of digits allowed) is equal to:
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Chemistry>Physical Chemistry>Structure of Atom>Dalton's Idea of Atom

Which of the following quantities are always zero in a simple harmonic motion?

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Chemistry>Physical Chemistry>Structure of Atom>Dalton's Idea of Atom
One end of a U-tube containing mercury is connected to a suction pump and the other end to atmosphere. A small pressure difference is maintained between the two columns. Show that, when the suction pump is removed, the column of mercury in the U-tube executes simple harmonic motion.
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Chemistry>Physical Chemistry>Structure of Atom>Dalton's Idea of Atom
Out of the following functions representing motion of a particle which represents SHM

(1) y = sin ω t - cos ω t

(2) y = sin 3 ω t

(3) y = 5 cos 3 π 4 - 3 ω t

(4) y = 1 + ω t + ω 2 t 2
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Chemistry>Physical Chemistry>Structure of Atom>Dalton's Idea of Atom

Three masses 0.8 kg, 0.6 kg and 0.3 kg are suspended at the end of a spring, as shown in the figure, in the equilibrium position. When the 0.8 kg mass is removed, the system oscillates with a time period of 3 s. When 0.6 kg mass is also removed, then the system will oscillate with a time period of

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EASY
Chemistry>Physical Chemistry>Structure of Atom>Dalton's Idea of Atom
Consider the mechanical vibrating systems shown in the figure A, B, C and D. The vibrations are simple harmonic in
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Chemistry>Physical Chemistry>Structure of Atom>Dalton's Idea of Atom
Which of the following quantities are always negative in a simple harmonic motion?
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Chemistry>Physical Chemistry>Structure of Atom>Dalton's Idea of Atom

Figure shows spring + block + pulley system which are light. The time period of mass would be

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EASY
Chemistry>Physical Chemistry>Structure of Atom>Dalton's Idea of Atom
A restoring force is a must for a body to execute S.H.M. Explain why.
MEDIUM
Chemistry>Physical Chemistry>Structure of Atom>Dalton's Idea of Atom
An air chamber of volume V has a neck area of cross section a into which a ball of mass m just fits and can move up and down without any friction as shown below. Show that when the ball is pressed down a little and released, it executes SHM. Obtain an expression for the time period of oscillations assuming pressure-volume variations of air to be isothermal.
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EASY
Chemistry>Physical Chemistry>Structure of Atom>Dalton's Idea of Atom
Why a point on a rotating wheel cannot be considered as executing S.H.M. ?
EASY
Chemistry>Physical Chemistry>Structure of Atom>Dalton's Idea of Atom
The potential energy of a particle executing SHM changes from maximum to minimum in 5 s. Then the time period of SHM is
MEDIUM
Chemistry>Physical Chemistry>Structure of Atom>Dalton's Idea of Atom
A wooden cylinder of mass 20 g and area of cross-section 1 cm2, having a piece of lead of mass 60 g attached to its bottom floats in water. The cylinder is depressed and then released. Show that it will execute S.H.M. Find the frequency of oscillations.
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Chemistry>Physical Chemistry>Structure of Atom>Dalton's Idea of Atom

Which of the following quantities are always positive in a simple harmonic motion?

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Chemistry>Physical Chemistry>Structure of Atom>Dalton's Idea of Atom
A cylindrical piece of cork of density ρ, base area A and height h floats in a liquid of density ρl. The cork is depressed slightly and then released. Show that the cork oscillates up and down simple harmonically with a period T=2πhρρlg.(Ignore damping due to viscosity of the liquid).
EASY
Chemistry>Physical Chemistry>Structure of Atom>Dalton's Idea of Atom
In S.H.M., the restoring force is always directed _____ (away from/ towards) the mean position.
MEDIUM
Chemistry>Physical Chemistry>Structure of Atom>Dalton's Idea of Atom
What is the time period of a simple pendulum with string length l and acceleration due to gravity g?
EASY
Chemistry>Physical Chemistry>Structure of Atom>Dalton's Idea of Atom
Cotyledons are also called-
EASY
Chemistry>Physical Chemistry>Structure of Atom>Dalton's Idea of Atom
Two particles are executing simple harmonic motion of same amplitude A and frequency ω along the x-axis. Their mean positions are separated by distance x0 (x0>A). If the maximum separation between them is (x0+A), then the phase difference between their motions is,