List of practice Questions

According to Boyle's law, the product of pressure and volume is a constant. Hence,

Compare the statements A and B. Statement A : When the urine moves through the descending limb, it becomes hypertonic and as it passes through the ascending limb of Henle's loop, it becomes hypotonic. Statement B : The descending limb is permeable to sodium ions, while the ascending limb is impermeable to sodium ions.

Gastrula has a pore which is known as _________

The diagram of large intestine of man is given below. Identify the parts labelled A, B, C, D, E and F.

The total radiant energy per unit area, normal to the direction of incidence, received at a distance $R$ from the center of a star of radius $r$, whose outer surface radiates as a black body at a temperature $T K$ is given by (where $\sigma$ is Stefan's constant)

If $a > b > 0, Sec^{-1} \left(\frac{a+b}{a-b} \right)= 2 \; Sin^{-1}x $ then $x = $ _____

If $a^x = b^{y} = c^{z} = d^{u}$ and $a, b,\, c,\, d$ are in $GP$, then $x,\, y,\, z,\, u$ are in

If $F$ is function such that $F (0) = 2, F (1) = 3, F (x+2) = 2F (x) - F (x+1)$ for $x \ge 0$, then $F (5)$ is equal to

Let $S$ be a set containing $n$ elements. Then, number of binary operations on $S$ is

The number of solutions of the equation $\sin \; (e^{x}) = 5^x + 5^{-x}$, is

The numerically greatest term in the expansion of $(3-5x)^{11}$ when $x = \frac{1}{5},$ is

Domain of the function $f (x) = \log_x \; \cos \; x$, is

If $f(x) = \sqrt{\log_{10} x^2} $ . The set of all values of $x$ for which $f(x)$ is real , is

The principal value of $\sin^{-1} \left\{\sin \frac{5\pi}{6}\right\} $ is

The value of $\frac{\cos\theta}{1+ \sin\theta}$ is equal to

$\displaystyle\lim_{n\to\infty} \left[\frac{1}{1.2} + \frac{1}{2.3} + \frac{1}{3.4} + .... + \frac{1}{n\left(n+1\right)}\right] $ is equal to

Range of the function $y =\sin^{-1} \left(\frac{x^{2}}{1+x^{2}}\right) $ is

The following two reactions are known ${Fe2O3(s) + 3CO(g) -> 2Fe(s) + 3CO2(g); \Delta H = - 26.8 \, kJ }$ ${FeO(s) + CO (g) -> Fe(s) + CO2(g); \Delta H - 16.5 \, kJ}$ The value of $\Delta H$ for the following reaction ${Fe2O3(s) + CO(g) -> 2FeO(s) + CO2(g) }$ is

The respective number of significant figures for the numbers $23.023$, $0.0003$ and $2.1 \times 10^{-3}$ are

A person wanted to withdraw X rupees and Y paise from the bank. But cashier made a mistake and gave him Y rupees and X paise. Neither the person nor the cashier noticed that. After spending 20 paise, the person counts the money. To his surprise, he has double the amount he wanted to
withdraw. Find X and Y. (1 Rupee = 100 Paise)

A body is travelling in a circle at a constant speed. It

A long string is stretched by $2\, cm$ and the potential energy is $V$. If the spring is stretched by $10\, cm$, its potential energy will be

A point charge $+q$ is placed at the centre of a cube of side $L$. The electric flux emerging from the cube is

A solenoid of 1.5 m length and 4.0 cm diameter possesses 10 turns/cm. A current of 5 A is flowing through it. The magnetic induction at axis inside the solenoid is