BITSAT 2023

Water is flowing on a horizontal fixed surface such that its flow velocity varies with \(y\) (vertical direction) as \(v=k\left(\frac{2 y^2}{a^2}-\frac{y^3}{a^3}\right)\). If coefficient of viscosity for water is \(2 \eta\). What will the s...

A man of mass $m$ starts falling towards a planet of mass \(M\) and radius \(R\). As he reaches near to the surface, he realizes that will pass through a small role in the planet. As he enters the role, we sees that the planet is really mad...

A Carnot's heat engine works between the temperature \(527^{\circ} \mathrm{C}\) and \(127^{\circ} \mathrm{C}\). What amount of heat should it consume per second to deliver mechanical work at the rate of \(1.0 \mathrm{~kW}\) ?

A vessel containing 1 mole of \(\mathrm{O}_2\) gas (molar mass 32) at temperature \(T\). The pressure of the gas is \(p\). An identical vessel containing one mole of He gas (molar mass 4) at temperature \(4 T\) has a pressure of

The masses of block \(A\) and \(B\) are \(m\) and \(M\), respectively. Between \(A\) and \(B\), there is a constant frictional force \(F\) and \(B\) can slide on a smooth horizontal surface. A is set in motion with velocity \(3 v_0\) while ...

Magnetic moment of bar magnet is \(2 M\). The work done to turn the magnet by \(90^{\circ}\) of magnet in direction of magnetic field \(B / 2\) will be

A boat crosses a river from part \(A\) to part \(B\), which are just on the opposite side. The speed of the water. \(v_\omega\) and the of boat is \(v_B\) relative to still water. Assume \(v_B=\sqrt{2} v_\omega\). What is the time taken by ...

A charged particle moving in a uniform magnetic field and losses \(16 \%\) of its kinetic energy. The radius of curvature of its path changes by

A vessel is half filled with a liquid of refractive index \(\mu\). The other half of the vessel is filled with an immiscible liquid of refractive index \(2 \mu\). The apparent depth of the vessel is \(50 \%\) of the actual depth. Then $$\mu...

A thin plano-convex lens of focal length \(f\) is split into two halves one of the halves is shifted along the optical axis. The separation between object and image formed by one of the half-lenses is 2.4 and the magnification of same lens ...

Two rings of radius \(R\) and \(n R\) made of same material have the ratio of moment of inertia about an axis passing through centre is \(1: 64\). The value of \(n\) is

A thin but rigid semicircular wire frame of radius \(r\) is hinged at \(O\) and can rotate in its own vertical plane. A smooth peg \(P\) starts from \(O\) and moves horizontally with constant speed \(2 v_0\) lifting the frame upward as show...

A common emitter amplifier has a voltage gain of 50 an input impedance of 100 \(\Omega\) and an output impedance of 400 \(\Omega\). The power gain of the amplifier is

Truth table for system of four NAND gate and one NOT gate as shown in figure is.

The \(x\)-\(t\) graph of a particle performing simple harmonic motion is shown in the figure. The acceleration of the particle at \(t=2. \mathrm{~s}\) is

In a YDSE, the light of wavelength \(\lambda=5000\mathop A\limits^o\) is used, which emerges in phase from two slits at \(a\) distance \(d=3 \times 10^{-7} \mathrm{~m}\) apart. A transparent sheet of thickness $$t=1.5 \times 10^{-7} \mathr...

The fundamental frequency of an open organ pipe is \(600 \mathrm{~Hz}\). The first overtone of this pipe has same frequency as first overtone of a closed organ pipe. If speed of sound is \(330 \mathrm{~m} / \mathrm{s}\), then the length of ...

The wavelength of two waves are 40 and \(42 \mathrm{~cm}\) respectively. If the temperature of the room is \(20^{\circ} \mathrm{C}\) then what will be the number of beats produced per second by these waves. When the speed of sound at $$0^{\...

When a string is divided into four segments of \(l_1, l_2, l_3\) and \(l_4\). The fundamental frequencies of these three segments are \(v_1, v_2, v_3\) and \(v_4\), respectively. The original fundamental frequency \((v)\) of the string is

The potential energy for a force field \(\mathbf{F}\) is given by \(u(x, y)=\cos (x+y)\). The force acting on a particle at position given by co-ordinates \((0, \pi / 6)\) is