A wire frame is in the shape of a regular polygon of 2016 sides. Each side is of length `L = 1` cm. If a current `I = 5.0` A is given to the wire frame estimate the magnetic induction field (B) at the centre of the polygon. `[Take pi^(2) = 10.08]`
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In a `n-` sided regular polygon, the probability that the two diagonal chosen at random will intersect inside the polygon is `(2^n C_2)/(^(^(n C_(2-n)
Correct Answer - C When 4 points are selected, we get one intersecting point. So, probability is `(.^(n)C_(4))/(.^((.^(n)C_(2)-n))C_(2))`
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The longest side of a triangle is three times the shortest side and the third side is 2 cm shorter than the longest side if the perimeter of the trian
Correct Answer - 9 cm Let the length of the shotest side of the triangle be x cm . Then length of the longest side = 3 x cm Length of...
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The force on a wire carrying of any shape in a uniform field is…………….of its shape but……………………..on the vector length joining the beginning and ending o
Correct Answer - independent, depends
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ABC is a triangular frame made of a conducting wire and is right angled at B. Its side BC is vertical and AB is horizontal. The frame is placed in a u
Correct Answer - (a) Zero (b) `(1)/(2) B omega L^(2)`
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Prove that the area of a regular polygon hawing `2n` sides, inscribed in a circle, is the geometric mean of the areas of the inscribed and circumscrib
Let a be the radius of the circle. Then, `S_(1)` = Area of regular polygon of `n` sides inscribed in the circle `= (1)/(2) na^(2) sin ((2pi)/(n)) = na^(2) sin.(pi)/(n)...
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The number of rectangles that can be obtained by joining four of the twelves verties of a 12-sides regular polygon is -
Correct Answer - D `(d)` Number of diagonals passing through centre `=6` Number of rectangles `="^(6)C_(2)=15`
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The interior angles of a regular polygon measure `150^@` each. The number of diagonals of the polygon is
Correct Answer - C `(c )` We have `pi-(2pi)/(n)=(5pi)/(6)` `implies (pi)/(6)=(2pi)/(n)` `impliesn=12` `:.` Number of diagonals `="^(10)C_(2)-12=54`
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A current loop, carrying a current of 5.0 A, is in the shape of a right triangle with sides 30,40, and 50 cm. The loop is in a uniform magnetic field
Correct Answer - (a) `0.30 A.m^(2)`(b)`2.4xx10^(-2)N.m`
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Find the magentic inducrtion at the centre of a recentagular wire frame whose diagonal is equal to `varphi = 30^(@)`, the current flowing in the frame
Correct Answer - [0.1 m T]
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The following table gives the number of sides and the number of diagonals of a polygon. `{:("Number of sides",3,4,5,6,7,8),("Number of diagonals",0,2,
Correct Answer - `d=(n(n-3))/(2)`
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