A piece of metal is cut from a hollow metal sphere of radius R and is polished on both sides. A boy looks at the metal piece and finds his image 13 cm behind the metal piece. His friend flips the mirror, keeping its position unchanged and now the boy finds his image to be 52 cm behind the mirror. Find R.
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Find the radius of gyration of a hollow uniform sphere of radius `R` about its tangent.
`MK^(2)=(5)/(3)Mr^(2)` `K=sqrt((5)/(3))r`
2 Answers 1 views
A conducting sphere of radius R carries a charge Q. It is enclosed by another concentric spherical shell of radius 2R. Charge from the inner sphere is
Correct Answer - `-(Q^(2))/(16pi in_(0)R)`
2 Answers 1 views
A conducting sphere of radius R is cut into two equal halves which are held pressed together by a stiff spring inside the sphere. (a) Find the change
Correct Answer - (a). `F=(Q^(2))/(32pi epsilon_(0)R^(2))` (b). `F=(piepsilon_(0)E_(0)^(2)R^(2))/(2)`
2 Answers 5 views
Find the capacitance of a system consisting of a metal sphere of radius a placed at a large distance from an identical metallic sphere. [Hint: When th
Correct Answer - `2piepsilon_(0)epsilon_(r)a`
2 Answers 1 views
Charge of `12muC` is given toa hollow metallic sphere of radius 0.1 m. find the potential at (i) the surface of the sphere (ii) the centre of the sphe
Correct Answer - `1.08xx10^(6)V,1.08xx10^(6)V`
2 Answers 1 views
A hollow metal sphere is charged with `0.4muC` of charge and has a radius of 0.1 find the potential (i) at the surface (ii) inside the sphere (iii) at
Correct Answer - 36 kV, 3kV, 6kV
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Consider three identical metal spheres ` A, B` and `C`. Sphere `A` carries charge ` + 6q`, sphere `B` carries charge `-3q` and sphere `C` carries no c
Correct Answer - `2.25q`
2 Answers 4 views
The left end of a long glass rod of index 1.6350 is grounded and polished to a convex spherical surface of radius 2.50 cm. A small object is located i
Correct Answer - `-0.0777`
2 Answers 1 views
A glass sphere with `10 cm` radius has a `5 cm` radius spherical hole at its centre. A narraow beam of parallel light is directed into the sphere. Whe
Correct Answer - 5 cm of the left of the surface of sphere
2 Answers 1 views
The volume of a sphere (V) varies directly as the cube of its radius. The volume of the sphere of radius 3 cm is ` 36 pi cm^(3)`. What is the volume o
Correct Answer - ` 4500 pi cm^(3)`
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