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Question 1571
StructuredStandard6 marks
CBSE Class 11 Chemistry · Equilibrium · Acid-base equilibria and pH

The ionization constant of propanoic acid is 1.32 × 10–5. Determine

(a)
the degree of ionization of the acid in its 0.05M solution
(b)
also its pH. What will be its degree of ionization if the solution is 0.01M in HCl also?
Question 1572
StructuredStandard3 marks
CBSE Class 11 Chemistry · Structure of Atom · Matter waves and uncertainty principle

The hydrogen electron in the first Bohr orbit moves at 2.19 × 10⁶ \(\mathrm{m\,s}\)⁻¹. Calculate its de Broglie wavelength.

Question 1573
StructuredStandard5 marks
CBSE Class 11 Mathematics · Limits and Derivatives · Rules of differentiation

Differentiate (sinx+cosx)/(sinx−cosx).

Question 1574
StructuredStandard5 marks
CBSE Class 11 Mathematics · Conic Sections · Hyperbolas

A hyperbola has foci (±4,0) and latus-rectum length 12. Find its equation.

Question 1575
StructuredStandard5 marks
CBSE Class 11 Mathematics · Straight Lines · Distance and intersections

Find the ratio in which x+y=4 divides the segment from (−1,1) to (5,7).

Question 1576
StructuredStandard5 marks
CBSE Class 11 Mathematics · Sequences and Series · Special series and applications

A ₹22,000 scooter is bought with ₹4,000 cash; the balance is paid through annual principal instalments of ₹1,000 plus 10% interest on the unpaid balance. Find the total cost.

Question 1577
StructuredStandard4 marks
CBSE Class 11 Mathematics · Trigonometric Functions · Multiple and half angles

Complete every requested part of miscellaneous exercise, question 7: sin 3x + sin 2x – sin x = 4sin x cos cos 2 2 x x x Find sin , cos and tan in each of the listed cases : 2 2 2 4 1

Question 1578
StructuredStandard5 marks
CBSE Class 11 Chemistry · Equilibrium · Acid-base equilibria and pH

The pH of 0.1M solution of cyanic acid (HCNO) is 2.34. Determine

(a)
the ionization constant of the acid
(b)
its degree of ionization in the solution.
Question 1579
StructuredStandard3 marks
CBSE Class 11 Chemistry · Structure of Atom · Matter waves and uncertainty principle

A \(0.100\,\mathrm{kg}\) hockey ball moves at 4.37 × 10⁵ \(\mathrm{m\,s}\)⁻¹, the speed given for a proton accelerated through 1000 V. Calculate the ball's de Broglie wavelength.

Question 1580
StructuredStandard5 marks
CBSE Class 11 Mathematics · Limits and Derivatives · Rules of differentiation

Differentiate (secx−1)/(secx+1).