List of top Questions asked in BITSAT- 2008

An $X$-ray tube produces a continuous spectrum of radiation with its shortest wavelength of $45 \times 10^{-2}?$. The maximum energy of a photon in the radiation in $eV $ is $(h = 6.62 \times 10^{-34} \, J-s, c = 3 \times 10^8 \, m/s)$

Which of the following statements are correct for alkali metal compounds? (i) Superoxides are paramagnetic in nature. (ii) The basic strengths of hydroxides increases down the group. (iii) The conductivity of chlorides in their aqueous solutions decreases down the group. (iv) The basic nature of carbonates in aqueous solutions is due to cationic hydrolysis.

Two concentric coils of $10$ turns each are placed in the same plane. Their radii are $20\, cm$ and $40\, cm$ and carry $0.2\, A$ and $0.3\, A$. current respectively in opposite directions. The magnetic induction (in tesla) at the center is

Which of the following is true in the case of an adiabatic process, where $\gamma = C_{p} / C_{v} $ ?

Which of the following correspond $(s)$ has '$Z$' configuration?

Two particles $A$ and $B$ initially at rest, move towards each other, under mutual force of attraction. At an instance when the speed of $A$ is $v$ and speed of $B$ is $2v$, the speed of center of mass $(CM)$ is

The velocities of two particles $A$ and $B$ are $0.05$ and $0.02\, ms^{-1}$ respectively. The mass of $B$ is five times the mass of $A$. The ratio of their de- Broglie's wavelength is

If $\overline{ M _{ W }}$ is the weight average molecular weight and $\overline{ M _{ n }}$ is the number average molecular weight of a polymer, the poly dispersity index (PDI) of the polymer is given by:

If $f: R \rightarrow R$ is defined by $f(x)=[x-3]+|x-4|$ for $x \in R$, then $\displaystyle\lim _{x \rightarrow 3} f(x)$ is equal to

If $2x + 3y + 12 = 0$ and $x - y + 4 \lambda = 0$ are conjugate with respect to the parabola $y^2 = 8x$, then $\lambda$ is equal to

The distance between the foci of the hyperbola $x^2 - 3y^2 - 4x - 6y -11 = 0$ is

The radius of the circle with the polar equation $r^2 - 8r( \sqrt{3} \, \cos \, \theta + \sin \, \theta) + 15 = 0$ is

If $A$ and $B$ are independent events of a random experiment such that $P(A \cap B) = \frac{1}{6} $ and $P(A \cap B) = \frac{1}{3}$, then $P(A)$ is equal to (Here, $E$ is the complement of the event $E$)

If the lines $2x - 3y = 5$ and $3x - 4y = 7$ are two diameters of a circle of radius $7$, then the equation of the circle is

Which one of the following is a correct set?

There is some change $W$ length when a $ 33000 \, N$ tensile force is applied on a steel rod of area of cross-section $10^{-3} \, m^2$. The change of temperature required to produce the same elongation, if the steel rod is heated, is (The modulus of elasticity is $3 \times 10^{11} N/m^2$ and the coefficient of linear expansion of steel is $ 1.1 \times 10^{-5} /^{\circ} C)$.

The orbit of geo-stationary satellite is circular, the time period of satellite depends on - (i) mass of the satellite (ii) mass of the earth (iii) radius of the orbit (iv) height of the satellite from the surface of earth Which of the following is correct?