List of practice Questions

Find the surface tension at critical velocity?

The area spherical balloon of radius 6 cm increases at the rate of 2 then find the rate of increase in the volume.

The radius of a cylinder is increasing at the rate 2 cm/sec and its height is decreasing at the rate 3 cm/sec, then find the rate of change of volume when the radius is 3cm and the height is 5 cm.

Identify the one differentiating characteristics between Homoleptic complex and Heteroleptic complex.

Which of the following is the correct representation of Haber process?

Which of the following is a biodegradable polymer?

Find bond order; N2 +, N2 - , N2 +2, CO. Arrange the given molecules in increasing order of their acidic strength.

Out of five siblings, what is the probability that the eldest and youngest children have the same gender?

If ax + by + c = 0 is normal to xy = 1, then determine if a and b are less than, greater than, or equal to zero.

If \(\int_0^{\pi/2} \log(\cos x) \, dx = \frac{\pi}{2} \log\left(\frac{1}{2}\right)\), then find \(\int_0^{\pi/2} \log(\sec x) \, dx\).

Find the general solution of the differential equation: cosx (1 + cosy) dx - siny (1 + sinx) dy = 0

Three vectors a, b and c are given. Find the equation of a vector that lies in the plane of vector a and vector b and whose projection on vector c is 1/√3.

What is the number of solutions of tanx + secx = 2 cosx if x belongs to (0, 2π)?

Find the coordinates of the point where the line through A (9, 4 , 1) and B (5, 1, 6) crosses X axis ?

Find k if \(\int_{0}^{\frac{1}{2}}[\frac{x^2dx}{(1-x^2)^{\frac{3}{2}}}]=\frac{k}{6}\).

\( \int \left( \frac{1}{7} - 6x - x^2 \right) \, dx \)

\( \int \frac{dx}{\sin(x) + \cos(x)} = ? \)

Which of the following has the highest Boiling Point?

If mutual inductance M=3H, L1=4H, L2=9H, will the coupling coefficient be equal?

A man takes a step forward with a probability 0.4 and backward with a probability 0.6. The probability that at the end of eleven steps, he is one step away from starting point is?

Find \(tan^{-1}[\frac{(1-sin\,x+cos\,x)}{(1+sin\,x-cos\,x)}]\) = ?

Two lines \(2x=3y=-z\) and \(6z=-y=-4z\) intersect at a point, then find the angle between them.

Find the equivalent of \( p \land (q \lor r) \lor \neg (r \land \neg (p \land q)) \).

Find the value of \(\int\frac{dx}{\,sin^2x\,cos^2x}\) = ?