Archives

If f(x) be a polynomial function satisfying f(x).f(1/x) = f(x) + f(1/x) and f(4) = 65. Then find f(6).

(a) 65 (b) 217 (c) 63 (d) none of these Solution: Let f(x) = a0xn + a1xn-1+...an-1x + an be a polynomial of degree n. Given f(x).f(1/x) =... View Article

The point on the curve 3y = 6x – 5x³, the normal at which passes through the origin is

(a) (1, 1/3) (b) (1/3, 1) (c) (2, -28/3) (d) none of these Solution: Let P(x1, y1) be the required point. Given equation of curve is 3y =... View Article

If the equation x⁴ – 4x³ + ax² + bx + 1 = 0 has four positive roots, then the value of |a – b| is

(a) 2 (b) 1 (c) 10 (d) 3 Solution: Given x4 - 4x3 + ax2 + bx + 1 = 0 Let the roots be p, q, r, and s. Sum of roots = -(coefficient of... View Article

Convert 25 radian to degree.

Solution: We know π radian = 1800 1 radian = 1800/π 25 radian = (180/π)25 = 1433.120... View Article

Look at this series 1, 1, 2, 3, 5, 8, 13 … what number should come next?

Solution: Given series is 1, 1, 2, 3, 5, 8, 13,... We got the third number by adding first and second number. 1+1 = 2 We got fourth... View Article

The decimal equivalent of the binary number 11010101 is

Solution: The given number is 11010101. To convert a binary number to a decimal number, write the powers of 2 for all the digits starting from... View Article

radon is obtained from radium due to

Radon is obtained from radium by the alpha decay process. In the alpha decay process an atomic nucleus emits an alpha particle (helium... View Article

if 0.224l of H2 gas is formed at the cathode, the volume of O2 gas formed at the anode under identical conditions is:

The reaction is H2O → H2 + ½ O2 Here H2 gas form at cathode and O2 gas formed at anode In the above equation... View Article

At what temperature the most probable speed of SO2 molecules have the same value of root mean square speed of O2 molecules?

Solution: The formula of most probable velocity = √(2RT/M) The root mean square speed = √(3RT/M) The most probable speed of SO2 = the root... View Article

R2Si(OH)2 on polymerisation gives

The hydrolysis of R2SiCl2 will give dialkyl silanediol R2Si(OH)2, which on polymerization will give a linear polymer.... View Article

how many h-atoms are directly bonded to p-atom in a molecule of isohypophosphoric acid (h4p2o6)?

Molecular formula of isohypophosphoric acid is H4P2O6. In this structure there is no hydrogen atoms are directly attached to the phosphorous... View Article

What are the average distance and the most probable distance of an electron from the nucleus in the 1s orbital of a hydrogen atom? (a0=the radius of the first Bohr orbit)

The most probable distance is the distance where the electron is highest probable so it is the radius of that orbit and the average distance is... View Article

During conversion of O2 to to O2−, the incoming electron goes to the orbital

The electronic configuration of O2 is... View Article

toluene on reaction with chromyl chloride in presence of cs2 followed by hydrolysis gives

Toluene on reaction with chromyl chloride in presence of cs2 followed by hydrolysis gives benzaldehyde.... View Article

the colour of pure ozone in gaseous phase and liquid phase respectively are

Ozone is slightly blue colour in gaseous phase. It is dark blue in liquid form and purple black in solid form. ... View Article

in the conversion of grignard reagent into higher aldehydes the other compound used is (1)Ethyl formate, (2) Ethyl acetate, (3) HCN, (4)Both (1) and (3)

The general formula of Grignard reagent RMgX where R = alkyl /aryl group, X= halogen (1) When ethyl formate (C2H5COOH) reacts with Grignard... View Article

50g of caco3 is allowed to react with 70 g of H3PO4Calculate : (i) amount of Ca3(PO4)2formed (ii) amount of unreacted reagent

The reaction of CaCO3 and H3PO4 is 2 H3PO4 + 3 CaCO3 → Ca3(PO4)2 + 3H2O + 3CO2 molecular mass of CaCO3 = 100gm Weight of CaCO3 taken = 50... View Article