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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

Write the differential equation for angular S.H.M

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प्रश्न

Write the differential equation for angular S.H.M.

एका वाक्यात उत्तर
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उत्तर

`"l" ("d"^2 theta)/"dt"^2 + "C" theta` = 0

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2021-2022 (March) Set 1

संबंधित प्रश्‍न

Prove that under certain conditions a magnet vibrating in a uniform magnetic field performs angular S.H.M.


Define angular S.H.M. and obtain its differential equation.


An α-particle of energy 10 eV is moving in a circular path in uniform magnetic field. The energy of proton moving in the same path and same magnetic field will be [mass of α-particle = 4 times mass of proton]


When a particle carrying a charge of 100 µC moves at an angle of 30° to a uniform magnetic field of induction 6 x 10-5 Wb/m2 with a speed of 2 x 105 m/s. The force acting on the particle is ______


An `alpha` - particle of energy 5 MeV is scattered through 180° by gold nucleus. The distance of closest approach is of the order of ______.


A conductor in the fom1 of a right angle `\triangle` ABC with AB = 3 cm and BC = 4 cm carries a current of 15 A. There is a uniform magnetic field of 8 T perpendicular to the plane of the conductor. The force on the conductor will be ______.


An α -particle of energy 5 Me V is scattered through 180° by a fixed uranium nucleus. The distance of closest approach is of the order of ______.


A bar magnet of mass 120 g in the form of a rectangular parallelepiped, has dimensions l = 40 mm, b = 10 mm and h = 80 mm, with its dimension ‘h’ vertical, the magnet performs angular oscillations in the plane of the magnetic field with period π seconds. If the magnetic moment is 3.4 Am2, determine the influencing magnetic field.


A particle executes S.H.M. of amplitude 3 cm. Its acceleration at extreme position is 27 cm/s2 Calculate its angular velocity.


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