List of practice Questions

The time period of a freely suspended bar magnet in a field is $2\, \sec$. It is cut into two equal parts along its axis, (hen the time period is
A body is moving with uniform acceleration. covers $200\, m$ in the first $2\, s$ and $220\, m$ in the next $4\, s$. Find the velocity in $m / s$ after $7\, s$.
If a line makes angles $ \frac{\pi }{3} $ and $ \frac{\pi }{4} $ with the $x$ and $y$-axis respectively, then the angle made by the line and $Z$-axis is
The condition that the roots of the equation $ {{x}^{3}}+3p{{x}^{2}}+3qx+r=0 $ are in the Arithmetic Progression is:
The group of elements in which the differentiating electrons enters in the antipenultimate shell of atoms are called
The number of covalent bonds in fluorine molecule is
The following is not an example of oxyacids of sulphur
The bleaching action of chlorine is due to the liberation of the following
Potassium ferrocyanide is an example of _____ complex
Two wires $A$ and $B$ are of lengths $ 40\,cm $ and $ 30\,cm $ . $A$ is bent into a circle of radius $r$ and $B$ into an arc of radius $r$. A current $i_{1}$ is passed through $A$ and $I_2$ through $B$. To have the same magnetic inductions at the centre, the ratio of $I_{1}:I_{2}$ is
Nuclear fission can be explained based on
The angle between magnetic meridian and geographical meridian is known as
During transcription, $RNA$ polymerase holoenzyme binds to a gene promoter and assumes a saddle-like structure. What is it's $DNA$-binding sequence ?
If $A =\begin{bmatrix} {1}&{-1} &{1}\\ {2}&{1}& {-3} \\ {1}&{1}&{1}\\ \end{bmatrix} ,10B \begin{bmatrix} {4}&{2} &{2}\\ {-5}&{0}& {\alpha} \\ {1}&{-2}&{3}\\ \end{bmatrix} $ and $B$ is the inverse of $A$, then the value of $\alpha$ is
If the circles $x^2 + y^2 - 2x - 2y - 7 = 0$ and $x^2 + y^2 + 4x + 2y + k = 0$ cut orthogenally, then the length of the common chord of the circles is
The number of common tangents to the circles $x^2+y^2=4 $ and $ x^2+y^2-6x-8y-24=0 $ is
The $ x- $ axis, $ y- $ axis and a line passing through the point A (6, 0) form a triangle $ABC$. If $ \angle A=30{}^\circ , $ then the area of the triangle, in sunits is
The resistance of a wire at room temperature $ 30{}^\circ C $ is found to be $ 10\,\Omega $ . Now to increase the resistance by 10%, the temperature of the wire must be [The temperature coefficient of resistance of the material of the wire is $ 0.002/{}^\circ C $ ]
The two polynucleotide chain in $DNA$ are :
The conjugate of the complex number $ \frac {(1+i)^2}{1-i}$ is
The area enclosed by the pair of lines $xy = 0$ , the line $x - 4 = 0$ and $y + 5 = 0$ is
Feeling the tremors of an earthquake, a scared resident of seventh floor of a multistoryed building starts climbing down the stairs rapidly. Which hormone initiated this action ?
A sequential expression of a set of human genes occurs when a steroid molecule binds to the:-
A mass of $2.0\, kg$ is put on a flat pan attached to a vertical spring fixed on the ground as shown in the figure. The mass of the spring and the pan is negligible. When pressed slightly and released the mass executes a simple harmonic motion . The spring constant is $200\, N/m$ . What should be the minimum amplitude of the motion so that the mass gets detached from the pan (take $g = 10 \,m /s^2 $).
A hollow cylinder has a charge $q$ coulomb within it. If $\phi$ is the electric flux in units of voltmeter associated with the curved surface $B$, the flux linked with the plane surface $A$ in units of voltmeter will be-