-
Find all polynomial P(x) with real coefficients satisfying P^2(x)+P^2(x-1)=2(P(x)-x)^2 ...
-
Prove that f(n) = 1−n is the only integer-valued function defined on the integers that satisfies the following conditions. (i) f(f(n)) = n, for all integers n; (ii) f(f(n + 2) + 2) = n for all integers n; (iii) f(0) = 1. ...
-
Let and B be different n x n matrices with real entries. I f A3=B3 and A2B=B2A , can 2+B2 be invertible? ...
-
players1,2,3,........n are seated around a table, and each has a single penny. Player 1 passes a penny to player 2, who then passes two pennies to player 3. Player 3 then passes one penny to Player 4, who passes two pennies t ...
-
What is the maximum number of rational points that can lie on a circle in R2 whose center is not a rational point? (A rational point is a point both of whose coordinates are rational numbers.) ...
-
Alan and Barbara play a game in which they take turns filling entries of an initially empty 2008 × 2008 array. Alan plays first. At each turn, a player chooses a real number and places it in a vacant entry. The game ends whe ...
-
two spherical rain drops of equal size are falling vertically through air with a terminal velocity of 1 m/s. what would be the terminal speed if these two drops were to coalesce to form a large spherical drop ? ...
-
a rregular poly gon of n sides is formed by bending a wire of total length 2Î R which carries a current i . find the magnetic field at the centre of the polygon. ...
-
calculate the magnetic induction at a point 1 Angstrom away from a proton , measured along its axis of spin. magnetic moment of proton is 1.4 x 10^ -26 A-m^2 ...
-
*Image* ...
-
What is the product when 2,2 dimethyloxirane reacts with LiAlH4 in acidic medium? ...
-
*Image* ...
-
the word MANISH is written on a sheet of white paper with a red pencil and the word NISHANT with a green pencil. a green and red pieces of glasses are available. through which glass can the word MANISH be seen? ...
-
why does the moon ,purely white in the daytime have a yellowish hue after sunset? ...
-
at what distance from each other should 2 men stand for an eye to distinguish them from a distance of about 11 km. the resolving power of a normal eye is approximately 1. ...
-
calculate the radii of frensel zones of a plane wave for a point b removed from the wave front by a distance of b>>λ, where λ is the wavelength of the source. ...
-
CLACULATE THE RADII OF THE FRENSEL ZONES OF A SPHERICAL WAVE WITH A RADIUS a FOR POINT B REMOVED BY A DISTANCE OF a+b FROM A SOURCE OF MONOCROMATIC WAVES WITH A LENGTH OF λ,BEARING IN MIND THAT a>>λ ,, b>>λ. ...
-
A THIN COAT OF TRANSPARENT SUBSTANCE WITH A REFRACTION INDEX `n` LOWER THAB THAT OF THE GLASS IS APPLIED TO THE SURFACE OF OPTICAL GLASS[COATED GLASS] TO REDUCE ITS REFLECTION FACTOR[REFLECTANCE].ESTIMATE THE THICKNESS OF THE ...
-
WILL NEWTON`S RINGS BE SEEN MORE DISTINCTLY IN REFLECTED LIGHT OR TRANSMITTED LIGHT? ...
-
A PLANE -CONVEX LENS WITH A RADIUS OF CURVATURE R2<R1 IS PLACED WITH ITS CONVEX SIDE ON TO THE SURFACE OF A PLANE CONCAVE LENS HAVING A RADIUS OF CURVATURE R1. FIND THE RADII OF NEWTON`S RINGS THAT APPEAR AROUND THE POINT ...
-
Acidic power Order Why ? 1. III < II < I Farther the (–I) group (Cl), lesser the acidic strength 2. I < II < III Farther the (+I) group, greater the acidic power 3. II < I < III —CH3 is electro ...
-
Q: A hydrogen gas filled balloon, attached with a certain weight, floats inside a water tank such that its top is just inside the surface of water. What will happen to it if it is submerged a certain distance below the surfac ...
-
1[ TEST NO:18 QUESTION NO: 2 ANSWER IS 4 AND NOT 28 ...
