List of practice Questions

The moment of inertia of a circular loop of radius $R$, at a distance of $R/2$ around a rotating axis parallel to horizontal diameter of loop is
$1$ mole of gas occupies a volume of $200 \,mL$ at $100 \,mm$ pressure. What is the volume occupied by two moles of gas at $400 \,mm$ pressure and at same temperature?
In air the value of the total electric flux emitted from unit positive charge is
In designing, a beam for its use to support a load. The depression at centre is proportional to (where, $Y$ is Young?s modulus)
Ionisation energy of $Li$ (Lithium) atom in ground state is $5.4\, eV$. Binding energy of an electron in $Li^+$ ion in ground state is $75.6\, eV$. Energy required to remove all three electrons of Lithium (Li) atom is
Which of the following does not undergo aldol condensation reaction?
Which is a milch breed of cow
Where would you look for active cell division in a plant ?
What happens during endosmosis ? Choose the correct answer from the following
The pressure which favours filtration of blood in the kidney and the one which opposes the filtration of blood are ______and_____ respectively.
The pH of boiling water is 6.4. This implies that boiling water is
The mass of hydrogen in gram required to completely saturate 1 mole of triolein is
The effective atomic number (EAN) of central metal atom in $ {[Co(NH3)6]Cl_3}$ is (at. no. of Co=27]
The children of a father with type 'O' blood and mother with type 'AB' blood could have the____blood.
If $ \int \frac{xe^{x}}{\left(1+x\right)^{2}} dx = e^{x} f\left(x\right) +c, $ then $f(x)$ is equal to
Giriraja is a
From which part of heart, does the largest artery arise
Fertilization membrane is formed in order to
If $x= \frac{1-t}{1+t} ; y= \frac{2t}{1+t}, $ then $\frac{d^{2}y}{dx^{2}} = $
If $f(x) = \begin{cases} \frac{e^{3x} - 1}{4x} & \quad \text{for} x \neq 0 \\ \frac{k + x}{4} & \quad \text{for } x= 0 \end{cases}$ is continuous at $x = 0$, then $k =$
If the tangent to the curve $2y^3 = ax^2 + x^3$ at the point $(a, a)$ cuts off intercepts $\alpha$ and $\beta$ on the coordinate axes where $\alpha^2 + \beta^2 = 61$, then the value of $a$ is
Lengthof the subtangent at $(a, a)$ on the curve $y^2 = \frac{x^2}{2a +x}$ is equal to
If $y=\log \tan\left(\frac{\pi}{4} + \frac{x}{2}\right) ,$ then $ \frac{dy}{dx} = $
If $\sqrt{\frac{x}{y}} + \sqrt{ \frac{y}{x}} = \sqrt{a}$ , then $ \frac{dy}{dx} = $
If $|\vec{a} | = 2 , |\vec{b}| = 7$ and $\vec{a} \times \vec{b} = 3 \hat{i} + 2 \hat{j} + 6\hat{k}$ then the angle between $\vec{a}$ and $\vec{b}$ is