List of practice Questions

Let image of point(8,5,7) with respect to line \(\frac{x-1}{2}=\frac{y+1}{3}=\frac{z-2}{5}\) is (α,β,γ). Then, α+β+γ is equal to______.
\(\left( \frac{3^{\frac{1}{5}}}{x}+\frac{2x}{5^\frac{1}{3}} \right)^{12}\)Find which term is constant.
A ball initially at rest, breaks into two masses m1 and m2 that move with speed 11 and v2 respectively as shown. The ratio of the kinetic energy of the right mass to the left mass is:
A ball of mass 150 gm moving with speed 20m/s is catched in 0.1 sec. find the average force exerted by the hands.
In an electron and a proton are having the same kinetic energy, find the ratio of their linear momentum. (mass of electron = 9.1 x 10-31 kg, mass of proton = 1.67 × 10-27 kg)
For the given logic circuit, the correct relation between the input (A, B) and the output (Y) is
given logic circuit, the correct relation
From a rectangular sheet, the shaded portion is removed. Find the co- ordinates of the center of mass after the portion has been removed.
a rectangular sheet, the shaded portion is removed
Which of the following is incorrect for paramagnetic materials?
HCF of co-prime numbers 4 and 15 was found as follows by factorisation : 4 = 2 × 2 and 15 = 3 × 5 since there is no common prime factor, so HCF of 4 and 15 is 0. Is the answer correct? If not, what is the correct HCF?
The variation of speed (in m/s) of an object with time (in seconds) is given by the expression $V(t) = V_0 - 5t + 5t^2$

Show that the relation R in the set R of real numbers, defined as
R = {(a, b): a ≤ b2 } is neither reflexive nor symmetric nor transitive.

If f (x) = 3x2+15x+5, then the approximate value of f (3.02) is

Fill in the blanks:
  1. Fossil fuels are ___, ___ and ___.
  2. Process of separation of different constituents from petroleum is called ___.
  3. Least polluting fuel for vehicle is ___.
A sphere of mass m moving with constant velocity hits another stationary sphere of the same mass. If e is the coefficient of restitution, aid the ratio of velocities of the two spheres after die collision will be
A wheel rotates making $20$ revolutions per second. If the radius of the wheel is $35\, cm$, what linear distance does a point of its rim traverse in three minutes? (take $\pi = 22/7$)
At 25∘C, the solubility product of Mg(OH)2 is 1.0×10−11. At which pH, will Mg2+ ions start precipitating in the form of Mg(OH)2 from a solution of 0.001MMg2+ ions ?
A point source emits sound equally in all directions in a non-absorbing medium. Two points P and Q are at distance of 2m and 3m respectively from the source. The ratio of the intensities of the waves at P and Q is :
A gas is kept in a vessel of volume 0.2 m3 at temperature 300 K and pressure 1 bar. The molar heat capacity of gas at constant volume is 5 cal/mol K. The heat (kcal) required to raise the temperature to 400 K is ______.
Which of the following graph correctly represent the variation δ=dVVdT for an ideal gas at constant pressure?
The de Broglie wavelength of an electron moving with a velocity 1.5 × 108 m/s is equal to that of a photon. The ratio of the energy of the photon to the kinetic energy of the electron is ______.
As per the Bohr model, the minimum energy (in eV) required to remove an electron from the ground state of a double ionized Li atom (Z = 3) is
A uniform solid sphere of radius R has a spherical hole or radius a in it. Find the position of its center of mass.
As given in the figure, a series circuit connected across a 200 V,60 Hz line consists of a capacitor of capacitive reactance 30Ω, a non-inductive resistor of 44Ω, and a coil of inductive resistance 90Ω and resistance 36Ω. The power dissipated in the coil is?
Which of the following statement is incorrect-
Among the following anions, identify the anion which gives pale yellow precipitate with aq. AgNO3. The precipitate is partially soluble in aq. NH4OH solution.