List of top Questions asked in BITSAT

The coefficient of the highest power of $x$ in the expansion of $(x + \sqrt{x^2 - 1})^8 + (x - \sqrt{x^2 - 1})^8$ is:

In the following species, how many species have the same magnetic moment?
(i) Cr$^{2+}$
(ii) Mn$^{3+}$
(iii) Ni$^{2+}$
(iv) Sc$^{2+}$
(v) Zn$^{2+}$
(vi) V$^{3+}$
(vii) Ti$^{4+}$

In a mixture of gases, the average number of degrees of freedom per molecule is 6. The RMS speed of the molecule of the gas is $ c $. Then the velocity of sound in the gas is:

The sum of the infinite series $1 + \frac{5}{6} + \frac{12}{6^2} + \frac{22}{6^3} + \frac{35}{6^4} + \dots$ is equal to:

Given below is the distribution of a random variable $X$:
\[ \begin{array}{|c|c|} \hline X = x & P(X = x) \\ \hline 1 & \lambda \\ 2 & 2\lambda \\ 3 & 3\lambda \\ \hline \end{array} \] If $\alpha = P(X<3)$ and $\beta = P(X>2)$, then $\alpha : \beta = $

The charge on colloidal particles is due to:

The major product X in the following given reaction is:

Electron affinity is positive when:

The distance travelled by a particle starting from rest and moving with an acceleration $ \frac{4}{3} $ ms$^{-2} $, in the third second is:

The dimensional formula of latent heat is:

You measure two quantities as $ A = 1.0 \,m \pm 0.2 \,m $, $ B = 2.0 \,m \pm 0.2 \,m $. We should report the correct value for $ \sqrt{AB} $ as:

The combustion of benzene (L) gives CO$_2$ (g) and H$_2$O (L). Given that heat of combustion of benzene at constant volume is -3263.9 kJ/mol at 25°C, heat of combustion (in kJ/mol) of benzene at constant pressure will be: (R = 8.314 J$K^{-1}$ $mol^{-1}$)

A projectile is projected with velocity of $ 40 $ m/s at an angle $ \theta $ with the horizontal. If $ R $ is the horizontal range covered by the projectile and after $ t $ seconds its inclination with horizontal becomes zero, then the value of $ \cot \theta $ is:
[Take, $ g = 10 $ m/s$ ^2 $]

The kinetic energy of a satellite in its orbit around Earth is $ E $. What should be the kinetic energy of the satellite to escape Earth's gravity?

In an $ S_{\text{N}2} $ substitution reaction of the type: \[ R - Br + Cl^- \longrightarrow R - Cl + Br^- \]
Which one of the following has the highest relative rate?

In the given circuit, $E_1 = E_2 = E_3 = 2V$ and $R_1 = R_2 = 4\Omega$, then the current flowing through the branch AB is:

The dimensions of the coefficient of self-inductance are:

A particle is moving in a straight line. The variation of position $ x $ as a function of time $ t $ is given as:
$ x = t^3 - 6t^2 + 20t + 15 $.
The velocity of the body when its acceleration becomes zero is:

A rigid body rotates about a fixed axis with variable angular velocity $ \omega = \alpha - \beta t $ at time $ t $, where $ \alpha, \beta $ are constants. The angle through which it rotates before it stops is:

The range of a projectile projected at an angle of $ 15^\circ $ with the horizontal is $ 50 $ m. If the projectile is projected with the same velocity at an angle of $ 45^\circ $, then its range will be:

A particle of mass $ m $ is projected with a velocity $ u $ making an angle of $ 30^\circ $ with the horizontal. The magnitude of angular momentum of the projectile about the point of projection when the particle is at its maximum height $ h $ is:

A body is thrown with a velocity of $ 9.8 $ m/s making an angle of $ 30^\circ $ with the horizontal. It will hit the ground after a time:

A light string passing over a smooth light pulley connects two blocks of masses $ m_1 $ and $ m_2 $ (where $ m_2>m_1 $). If the acceleration of the system is $ \frac{g}{\sqrt{2}} $, then the ratio of the masses $ \frac{m_1}{m_2} $ is:

A block of mass 1 kg is pushed up a surface inclined to horizontal at an angle of $ 60^\circ $ by a force of 10 N parallel to the inclined surface. When the block is pushed up by 10 m along the inclined surface, the work done against frictional force is:

[Given: $ g = 10 $ m/s$ ^2 $, $ \mu_s = 0.1 $]

A person of mass $ 60 $ kg is inside a lift of mass $ 940 $ kg. The lift starts moving upwards with an acceleration of $ 1.0 $ m/s$ ^2 $. If $ g = 10 $ m/s$ ^2 $, the tension in the supporting cable is: