List of practice Questions

The mean of coefficients of \(x, x^2, ....., x^7\) in the binomial expansion of \((2 + x)^9\) is?

The number of sp² hybridized carbon atoms in the following peptide is Ala – Phe – Gly – Ala – Phe - Ley

Sum of first 20 terms: 5, 11, 19, 29, 41

How many bromo products are formed when ethane is reacted with excess of \(Br_2\) on heating?

Choose the correct option.

Match the terms in Column-I with their description in Column-II:

Column-I Column-II (P) N2O5 (i) N–N bond (Q) N2O (ii) N–O–N bond (R) N2O4 (iii) N=N / NN bond (S) NO2 (iv) N=O bond

Oxidation number of Mo in Ammonophosphomolybdate

Choose correct graph of resistivity and temperature for semi-conductor material.

Choose correct graph of electric potential for uniformly charged hollow sphere.

A wire of length 2 m, radius of cross-section 20 mm and Young's Modulus 2×10¹¹ N/m is subjected to a force of 62.8 kN.The change in length of the wire is p×10^–5 (in m). Find P.

If the radius of ground state hydrogen is 51 pm, find out the radius of 5th orbit of Li2+ ions. (closest integer)

How many moles of \(Ba_3(PO_4)_2\) will be formed by the reaction of \(5\) moles of \(BaCl_2\) and \(3\) moles of \(Na_3(PO_4)\).

The value of log10K for a reaction A ⇋ B is (Given ΔHº298K = –54.67 kJmol–1 ΔSº298K = 10 kJmol–1 and R = 8.314 JK–1mol–1 2.303 × 8.314 × 298 = 5705)

Determine the amount of urea (NH₂CONH₂) to be added in 1000 g of water to decrease its vapour presssure by 25%.
Given: Molar mass of N. C. O and H are 14. 12. 16 and 1 2 mol^-1 respectively.

Which of the following slows down the process of setting of the cement ?

Number of ambidentate ligands in given complex [M(en)(SCN)4] :

Given below are two statement: one is labelled as Assertion (A) and the other is labelled as Reason (R).
\(A ⇒\) Spin only magnetic moment of \([Fe(CN)_6]^{–3}\) is \(1.73\) B.M. and \([Fe(H_2O)_6]^{+3}\) is \(5.92\) B.M.
\(R ⇒\) In both cases Fe have \(+3\) oxidation state.
In the light of the above statements, write the detailed answer:

Assertion (A) : Radius of H+ is 1.5 × 10^–3 pm.
Reason (R) : H+ cannot exist independently.

Positive numbers a₁, a_2, .... a₅ are in geometric progression. Their mean and variance are \(\frac{31}{10}\) and \(\frac{m}{n}\) respectively. The mean of the reciprocals is \(\frac{31}{40}\), then m + n is?

If sin^-1x = 2 tan^-1x , then number of integral values of x is equal to:

The area of the region enclosed by the curve \(y=x^3\) and its tangent at the point (−1,−1) is

(\(\frac{2x^3-1}{3x^8}\))⁵\(\rightarrow\)coefficient of x⁴

In a given data set mean of 40 observations is 50 and standard deviation is 12. Two readings which were 20 and 25, were mistakenly taken as 40 and 45. Find correct variance of data set

A block of mass 100 gm is placed on a smooth surface, moves with acceleration of a=2x, then the change in kinetic energy can be given as \(\left(\frac{x^n}{10}\right)\). Find the value of n.

A car is moving with a speed of 15 m/s towards a stationary wall. A person in the car pressed the horn and experienced the change in frequency of 40 Hz due to reflection from the stationary wall. Find the frequency of the horn.
(Use \(𝑣_{sound}\) = 330 m/s)