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The acceleration due to gravity on the surface of the moon is 1.7 m/s2. What is the time period of a simple pendulum on the surface of the moon if its time period on the surface of the earth is 3.5 s? (g on the surface of earth = 9.8 m/s2)
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A particle performing S.H.M. has velocities of 8 cm/s and 6 cm/s at displacements of 3 cm and 4 cm respectively. Calculate the amplitude and period of S.H.M.
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A particle performs linear S.H.M. of period 4 seconds and amplitude 4 cm. Find the time taken by it to travel a distance of 1 cm from the positive extreme position.
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Obtain an expression for the resultant amplitude of, the composition of two S.H.M.’s having the same period along the same path.
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State law of length.
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What are forced vibrations?
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Show that even as well as odd harmonics are present as an overtone in modes of vibration of the string.
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A dipole is placed in a uniform electric field, its potential energy will be minimum when the angle between its axis and field is ______
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A molecule with a dipole moment p is placed in an electric field of strength E. Initially the dipole is aligned parallel to the field. If the dipole is to be rotated to be anti-parallel to the field, find the work required to be done by an external agent.
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In the expression e = –dΦ/dt, the -ve sign signifies ______
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A magnet is moved towards a coil (i) quickly (ii) slowly, then the induced e.m.f. is ______
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The magnetic flux through a loop varies according to the relation Φ = 8t2 + 6t + 2, Φ is in milliweber and t is in second. What is the magnitude of the induced emf in the loop at t = 2 seconds?
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Determine the motional emf induced in a straight conductor moving in a uniform magnetic field with constant velocity on the basis of Lorentz force.
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The angle at which maximum torque is exerted by the external uniform electric field on the electric dipole is ______.
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What is mechanical equilibrium?
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What is the value of force on a closed circuit in a magnetic field?
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An electric dipole consists of two opposite charges each of magnitude 1 μC, separated by 2 cm. The dipole is placed in an external electric field of 105 N/C. Calculate the:
- maximum torque experienced by the dipole and
- work done by the external field to turn the dipole through 180°.
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A block of mass m, connected to two springs of spring constants k1 and k2 as shown, oscillates on a smooth horizontal surface. What is the effective spring constant of the oscillation?

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A metal ring has a moment of inertia 2 kg·m2 about a transverse axis through its centre. It is melted and recast into a thin uniform disc of the same radius. What will be the disc's moment of inertia about its diameter?
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A uniform disc of mass 10 kg and radius 60 cm rotates about an axis perpendicular to its plane and passing through its centre at 1200 rpm. Calculate its rotation kinetic energy. [Take π2 = 10]
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