List of practice Questions

Explain the term Emigration.

How many meiotic divisions are required for the formation of 300 seeds in angiosperm?

Which cells of islets of Langerhans produce the hormone insulin?

Give the name of the microbial source of the antibiotic chloromycetin.

What is the full form of IAA?

Give the name of the endocrine gland which is prominent at birth but gets gradually atrophied in the adult stage.

Expand the term ZIFT.

What are vestigial organs?

Which one of the following does not evolve further?

Which of the following types require pollinator but result is genetically similar to autogamy?

Which of the following is caused by an unsterilized needle?

Which of the following divides the nasal cavity?

Which one of the following is not a part of lac operon?

Identify the growth hormone in plants which causes inhibitory effect.

The ratio of \(\frac{{^{14}\text{C}}}{{^{12}\text{C}}}\) in a piece of wood is \(\frac{1}{8}\) part that of atmosphere. If the half-life of \(^{14}\text{C}\) is 5730 years, the age of the wood sample is _______ years.

A ceiling fan having 3 blades of length 80 cm each is rotating with an angular velocity of 1200 rpm. The magnetic field of earth in that region is 0.5 G and the angle of dip is \( 30^\circ \). The emf induced across the blades is \( N \pi \times 10^{-5} \, \text{V} \). The value of \( N \) is \( \_\_\_\_\_ \).

In aqueous solution of K₄[Fe(CN)₆], the allowed transition(s) is (are)

Prove that: \[ \int_0^{\pi/2} \sin 2x \tan^{-1} (\sin x) \,dx = \left(\frac{\pi}{2} - 1\right) \]

Evaluate: \[ I = \int_0^{\pi} \frac{x \, dx}{a^2 \cos^2 x + b^2 \sin^2 x} \]

Solve the differential equation: \[ \frac{dy}{dx} + \frac{y}{x} = x^2, \quad y = 1 \text{ when } x = 1 \]

Solve the differential equation: \[ (\tan^{-1} y - x) \, dy = (1 + y^2) \, dx \]

Solve the system of equations by matrix method: \[ 2x + 3y + 3z = 5 \] \[ x - 2y + z = -4 \] \[ 3x - y - 2z = 3 \]