List of practice Questions

Active materials of a lead acid cell are
In a lead acid cell, hydrogen is liberated at
The Indian Coffee House, Thiruvananthapuram was designed by
During charging, the electrolyte of a lead acid battery becomes
The impedance of a coil connected across a single-phase AC source is \( 3 + j4 \) ohms. If another capacitive load with an impedance of \( 3 - j4 \) ohms is connected in parallel with this coil, the overall impedance seen by the AC source will be
The overall power factor of a series R-L-C (R = resistance, L = inductance and C = capacitance) circuit with a resistance of 100 ohms, inductive reactance of 273.2 ohms and capacitive reactance of 100 ohms will be
The capacitive reactance offered by a capacitance of 10 microfarads to an alternating current of \( i = I_m \sin(100\pi t - \frac{\pi}{6}) \) amperes is
The reactive power demanded by a circuit element will be zero when the phase difference between the current passing through it and the voltage across it becomes equal to
If a body moving with uniform acceleration travels a distance of 10 m in the first 10 s, then how much total distance in m will it cover at the end of 30 s from the beginning?
Area under velocity-time graph gives
If \( V_A \) and \( V_B \) are velocities of A and B respectively and their directions are normal to each other, the relative velocity of A with respect to B is
If two stones A and B are thrown upwards at angles of 30° and 60° respectively with ground at same speed, which stone will have longer horizontal range?
The ratio of maximum vertical to maximum horizontal distances travelled by a projectile with \( \theta \) as the angle of initial velocity with ground depends on
If \( m \) is the mass of the projectile thrown upwards with velocity \( u \) at an angle \( \theta \) with the ground, then the change in momentum from the lowest to highest point of its trajectory will be
Let \( \vec{x} \) and \( \vec{y} \) be two unit vectors and \( \theta \) is the angle between them. Then \( \vec{x} + \vec{y} \) is a unit vector if
If the vectors \( 2\hat{i} - 3\hat{j} + \hat{k} \) and \( 3\hat{i} - 4\hat{j} - \hat{k} \) form three concurrent edges of a parallelepiped, then the volume of the parallelepiped is
If a body is dropped from a height of \( h \), at what velocity will it touch the ground?
A stone is thrown upwards with a velocity of 20 m/s from the roof of a building of height 10 m. At what velocity in m/s will it reach the ground assuming 10 m/s\(^2\) as acceleration due to gravity?
A vehicle moving with uniform acceleration covers 10 m distance in first 3 s and then covers next 100 m distance in next 3 s. What is its acceleration in m/s\(^2\)?
If a body travels 10 m distance at a speed of 10 m/s and then next 10 m distance at a speed of 20 m/s in the same direction, what is its average speed in m/s?
If \( (1+x)^n = C_0 + C_1 x + C_2 x^2 + \dots + C_n x^n \), then \( C_0 + \frac{C_1}{2} + \frac{C_2}{3} + \dots + \frac{C_{10}}{11} \) is
For complex numbers \( z \), if \( |z| = 1 \), then the value of \( \frac{z-1}{z+1} \) is
If \( z = \cos\theta + i \sin\theta \), then the value of \( z^{100} + \frac{1}{z^{100}} \) is
The distance between the lines \( 3x - 4y + 2 = 0 \) and \( 3x - 4y - 8 = 0 \) is
If the line \( y = mx \) does not intersect the circle \( (x + 10)^2 + (y + 10)^2 = 180 \), then a possible value of \( m \) is