BITSAT 2025

A pure resistive circuit element $X$, when connected to an AC supply of peak voltage 200 V , gives a peak current of 5 A . A second circuit element $Y$, when connected to the same AC supply also gives the same value of peak current but the ...

Consider a hydrogen atom with its electron in the $n$th orbit. An electromagnetic radiation of wavelength 90 nm is used to ionize the atom. If the kinetic energy of the ejected electron is 10.4 eV , then the value of $n$ is ( $h c=1242 \mat...

The mass of proton is 1.0073 u and that of neutron is $1.0087 \mathrm{u}(\mathrm{u}=$ atomic mass unit). The binding energy of ${ }_2 \mathrm{He}^4$ is

A dielectric slab of dielectric constant $k=3$ is filling $\frac{3}{4}$ th space of the capacitor.

When capacitor is charged, then \% of total energy stored in dielectric is

Two wires of the same material (Young's modulus $=Y$ ) and same length $L$ but radii $R$ and $2 R$ respectively are joined end to end and a weight $w$ is suspended from the combination as shown in the figure. The elastic potential energy in...

A current $I=10 \sin (100 \pi t) A$ is passed in the first coil, which induces a maximum emf of $5 \pi \mathrm{~V}$ in second coil. The mutual inductance between the coil is

A parallel plate capacitor with plate area $A$ and separation between plates $d$ is charged with constant current $I$. Consider a plane surface of area $\frac{5 A}{6}$ parallel to the plates and drawn between the plates. The displacement cu...

A large block of ice 10 cm thick with a vertical hole drilled through it is floating in a lake. The minimum length of the rope required to scoop out a bucket full of water through the hole is (density of ice $=0.9 \mathrm{~g} / \mathrm{cm}^...

A water film is made between two straight parallel wires of length 10 cm each and at a distance of 0.5 cm from each other. If the distance between the wires is increased by 1 mm , then work done (in ergs) is [Given, surface tension of water...

A body is projected vertically upwards from the surface of Earth with a velocity equal to one third of escape velocity. The maximum height attained by the body will be

A mass $M$ is broken into two parts of masses $m_1$ and $m_2$. How are $m_1$ and $m_2$ related, so that force of gravitational attraction between the two parts is maximum?

A vessel is filled with a gas at a pressure of 76 cm of mercury at a certain temperature. The mass of gas is increased by $50 \%$ introducing more gas in the vessel at the same temperature. Now the resultant pressure of the gas is

In a certain process, 400 cal of heat is supplied to a system and at the same time 105 J of mechanical work was done on the system. The increase in its internal energy is

Two rods $P$ and $Q$ have equal lengths. Their thermal conductivities are $K_1$ and $K_2$ and cross-sectional areas are $A_1$ and $A_2$. When the temperature at ends of each rod are $T_1$ and $T_2$ respectively, the rate of flow of heat thr...

A cylinder of radius $R$ made of a material of thermal conductivity $k_1$ is surrounded by a cylindrical shell of inner radius $R$ and outer radius $2 R$ made of a material of thermal conductivity $k_2$. The two ends of a combined system ar...

A bar magnet has magnetic moment of $0.05 \mathrm{Am}^2$ which is suspended in uniform magnetic field of 0.2 T . Calculate the work done in rotating the magnet from its most stable to most unstable position in the magnetic field.

The acceleration versus time graph of a particle moving along a straight line is shown in the figure. Draw the respective velocity time graph. (Assuming at $t=0, v=0$ )

The frequency of a light wave in a material is $2 \times 10^{14} \mathrm{~Hz}$ and wavelength is $5000 \mathop {\rm{A}}\limits^{\rm{o}} $. The refractive index of material will be

In given lens combination, each lens is of focal length 10 cm .

Correct ray diagram for this combination is

A man with a mass of 80 kg is standing on the rim to a circular platform with a mass of 200 kg . The circular platform is rotating at 12 revolutions per minute (rpm) about its axis. The man moves from the rim towards the centre of the platf...

The temperature $(T)$ dependence of resistivity ( $\rho$ ) of a semiconductor is represented by

The equivalent resistance of the circuit across $A B$ is given by

The frequency of oscillation of the spring mass system is

A beam of light travelling in water strikes a glass plate which is also immersed in water. When the angle of incidence is $60^{\circ}$, the reflected beam is found to be plane polarised. Find the refractive index of glass, if refractive ind...

In a Young's double slit experiment for a particular wavelength of light the distance between third dark and fifth bright fringe is 1.63 mm . If the distance between two slit is 1 mm and distance between slit and screen is 1 metre. Then, th...

The fundamental frequency of a closed organ pipe is same as the first overtone frequency of an open organ pipe. If the length of open organ pipe is 50 cm , then the length of closed organ pipe is

A standing wave $y=A \sin \left(\frac{20}{3} \pi x\right) \cos (1000 \pi t)$ is maintained in a taught string, where $y$ and $x$ are in metres. The distance between two successive points oscillating with the amplitude $\frac{A}{2}$ across a...

A string of length $L$ and force constant $k$ is stretched to obtain extension $l$. It is further stretched to obtain extension $l_1$. The work done in second stretching is

A block of mass 10 kg slides down a rough slope which is inclined at an angle of $45^{\circ}$ to the horizontal. The coefficient of sliding friction is 0.30 . When the block has slide 5 m , the work done on the block by the force of frictio...

A body is projected with a speed $u \mathrm{~ms}^{-1}$ at an angle $\beta$ with the horizontal. The kinetic energy at the highest point is $(3 / 4)$ th of the initial kinetic energy. The value of $\beta$ is