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Two identical blocks are kept on a frictionless horizontal table connected by a spring of stiffness k and of original length l0. A total charge Q is distributed on the block such that maximum elongation of spring at equilibrium is equal to x. Value of Q is ______.
Concept: undefined >> undefined
Assertion: For a non-uniformly charged thin circular ring with net charge is zero, the electric field at any point on axis of the ring is zero.
Reason: For a non-uniformly charged thin circular ring with net charge zero, the electric potential at each point on axis of the ring is zero.
Concept: undefined >> undefined
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Concept: undefined >> undefined
Concept: undefined >> undefined
Concept: undefined >> undefined
The length of a solenoid is 0.4 m and the number turns in it is 500. A current of 3 amp, is flowing in it. In a small coil of radius 0.01 m and number of turns 10, a current of 0.4 amp. is flowing. The torque necessary to keep the axis of this coil perpendicular to the axis of solenoid will be ______.
Concept: undefined >> undefined
Concept: undefined >> undefined
Consider a region inside which, there are various types of charges but the total charge is zero. At points outside the region ______.
Concept: undefined >> undefined
The resistivity of alloy manganin is ______.
Concept: undefined >> undefined
In general, metallic ropes are suspended on the carriers taking inflammable materials. The reason is ______.
Concept: undefined >> undefined
When 1014 electrons are removed from a neutral metal sphere, the charge on the sphere becomes ______.
Concept: undefined >> undefined
Two similar spheres having +Q and -Q charges are kept at a certain distance. F force acts between the two. If at the middle of two spheres, another similar sphere having +Q charge is kept, then it experiences a force in magnitude and direction as ______.
Concept: undefined >> undefined
"If the slits in Young's double slit experiment are identical, then intensity at any point on the screen may vary between zero and four times to the intensity due to single slit".
Justify the above statement through a relevant mathematical expression.
Concept: undefined >> undefined
Draw the intensity distribution as function of phase angle when diffraction of light takes place through coherently illuminated single slit.
Concept: undefined >> undefined
The Electric field at a point is ______.
- always continuous.
- continuous if there is no charge at that point.
- discontinuous only if there is a negative charge at that point.
- discontinuous if there is a charge at that point.
Concept: undefined >> undefined
Five charges, q each are placed at the corners of a regular pentagon of side ‘a’ (Figure).

(a) (i) What will be the electric field at O, the centre of the pentagon?
(ii) What will be the electric field at O if the charge from one of the corners (say A) is removed?
(iii) What will be the electric field at O if the charge q at A is replaced by –q?
(b) How would your answer to (a) be affected if pentagon is replaced by n-sided regular polygon with charge q at each of its corners?
Concept: undefined >> undefined
Consider the two idealized systems: (i) a parallel plate capacitor with large plates and small separation and (ii) a long solenoid of length L >> R, radius of cross-section. In (i) E is ideally treated as a constant between plates and zero outside. In (ii) magnetic field is constant inside the solenoid and zero outside. These idealised assumptions, however, contradict fundamental laws as below:
Concept: undefined >> undefined
Verify the Gauss’s law for magnetic field of a point dipole of dipole moment m at the origin for the surface which is a sphere of radius R.
Concept: undefined >> undefined
A ray of light incident at an angle θ on a refracting face of a prism emerges from the other face normally. If the angle of the prism is 5° and the prism is made of a material of refractive index 1.5, the angle of incidence is ______.
Concept: undefined >> undefined
The phenomena involved in the reflection of radiowaves by ionosphere is similar to ______.
Concept: undefined >> undefined
