List of top Physics Questions asked in BITSAT

Two conducting shells of radius \(a\) and \(b\) are connected by conducting wire as shown in figure. The capacity of system is :

Two plano-concave lenses $(1$ and $2)$ of glass of refractive index $1.5$ have radii of curvature $25 \,cm$ and $20 \,cm$. They are placed in contact with their curved surface towards each other and the space between them is filled with liquid of refractive index $4/3$. Then the combination is
A sonometer wire resonates with a given tuning fork forming standing waves with five antinodes between the two bridges when a mass of $9 \,kg$ is suspended from the wire. When this mass is replaced by a mass $M$, the wire resonates with the same tuning fork forming three antinodes for the same positions of the bridges. The value of $M$
A mercury drop of radius $1 \,cm$ is sprayed into $10^{6}$ drops of equal size. The energy expended in joule is (surface tension of mercury is $460 \times 10^{-3}\,N / m$ ):
When a metal surface is illuminated by light of wavelengths $400\, nm$ and $250\,nm$, the maximum velocities of the photoelectrons ejected are $V$ and $2 V$ respectively. The work function of the metal is
On a hypotenuse of a right prism $\left(30^{\circ}-60^{\circ}-90^{\circ}\right)$ of refractive index $1.50$, a drop of liquid is placed as shown in figure. Light is allowed to fall normally on the short face of the prism. In order that the ray of light may get totally reflected, the maximum value of refractive index is :
Steel wire of length ' $L$ ' at $40^{\circ} C$ is suspended from the ceiling and then a mass ' $m$ ' is hung from its free end. The wire is cooled down from $40^{\circ} C$, to $30^{\circ} C$ to regain its original length '$L$'. The coefficient of linear thermal expansion of the steel is $10^{-5} /{ }^{\circ} C$, Young's modulus of steel is $10^{11} \,N / m ^{2}$ and radius of the wire is $1 \,mm$. Assume that $L \gg$ diameter of the wire. Then the value of ' $m$ ' in $kg$ in nearly.
Two concentric conducting thin spherical shells $A$ and $B$ having radii $r _{ A }$ and $r _{ B }\left( r _{ B }> r _{ A }\right)$ are charged to $Q _{ A }$ and $- Q _{ B }\left(\left| Q _{ B }\right|>\left| Q _{ A }\right|\right)$. The electrical field along a line passing through the centre is
Two very long, straight, parallel wires carry steady currents $ I$ and $-I$ respectively. The distance between the wires is $d$. At a certain instant of time, a point charge $q$ is at a point equidistant from the two wires, in the plane of the wires. Its instantaneous velocity $v$ perpendicular to this plane. The magnitude of the force due to the magnetic field acting on the charge at this instant is
Specific conductance of o.1 \,M \,HA is $3 \cdot 75 \times 10^{-4} \,ohm ^{-1} \, cm ^{-1}$. Find the dissociation constant $K _{ a }$ of $HA$, if $\lambda_{\infty}( HA )=250 \, ohm ^{-1} \, cm ^{2} \,mol ^{-1}:$
In the formula $X=3 Y Z^{2}, X$ and $Z$ have dimensions of capacitance and magnetic induction respectively. The dimensions of $Y$ in $MKSA$ system are :
When ${ }^{92} U _{235}$ undergoes fission $0.1 \%$ of its original mass is changed into energy. How much energy is released if $1 \,kg$ of ${ }^{92} U _{235}$ undergoes fission
A point particle of mass 0.1kg is executing S.H.M. of amplitude 0.1m. When the particle passes through the mean position, its kinetic energy is 8×10⁻3J. Obtain the equation of motion of this particle if its initial phase of oscillation is \(45^\circ\).

A source of sound S emitting waves of frequency 100Hz and an observer O are located at some distance from each other. The source is moving with a speed of 19.4m s⁻1 at an angle of \(60^\circ\) with the source–observer line as shown. The observer is at rest. The apparent frequency observed is (velocity of sound in air =330m s⁻1):  

In the shown arrangement of the meter bridge AC corresponding to null deflection of galvanometer is x. What would be its value if the radius of the wire AB is doubled? 

Block A of mass m and block B of mass 2m are placed on a fixed triangular wedge by means of a massless, inextensible string and a frictionless pulley as shown in the figure. The wedge is inclined at 45° to the horizontal on both sides. If the coefficient of friction between block A and the wedge is (2)/(3) and that between block B and the wedge is (1)/(3), and both blocks A and B are released from rest, the acceleration of A will be: 

The surface charge density of a thin charged disc of radius \( R \) is \( \sigma \). The value of the electric field at the centre of the disc is \( \dfrac{\sigma}{2\varepsilon_0} \). With respect to the field at the centre, the electric field along the axis at a distance \( R \) from the centre of the disc is:
The molecules of a given mass of a gas have an r.m.s. velocity of 200 m s⁻¹ at 27°C and 1.0 × 10⁵ N m⁻² pressure. When the temperature and pressure of the gas are 127°C and 0.05 × 10⁵ N m⁻², respectively, the r.m.s. velocity of its molecules is:
The approximate depth of an ocean is 2700 m. The compressibility of water is \( 45.4 \times 10^{-11} \, \text{Pa}^{-1} \) and the density of water is \( 10^3 \, \text{kg m}^{-3} \). What fractional compression of water will be obtained at the bottom of the ocean?
The mass of \( ^{15}\text{N} \) is 15.00011 amu and that of \( ^{16}\text{O} \) is 15.99492 amu. The mass of a proton is 1.00783 amu. Determine the binding energy of the last proton of \( ^{16}\text{O} \).
The frequency of vibration of a string is given by
\( \nu = \dfrac{p}{2l}\left(\dfrac{F}{m}\right)^{1/2} \)
Here, \( p \) is the number of segments in the string and \( l \) is the length. The dimensional formula for \( m \) will be:
Two resistances at 0°C with temperature coefficients of resistance alpha₁ and alpha₂ joined in series act as a single resistance in a circuit. The temperature coefficient of their single resistance will be:
Two identical charged spheres suspended from a common point by two massless strings of length l are initially at a distance d ≪ l apart because of their mutual repulsion. The charges begin to leak from both the spheres at a constant rate. As a result, the spheres approach each other with a velocity v. Then v varies as a function of distance x between the spheres as:
A circular disc of radius R and thickness (R)/(6) has moment of inertia I about an axis passing through its centre perpendicular to its plane. It is melted and recast into a solid sphere. The moment of inertia of the sphere about its diameter is:
A resistor of resistance R, capacitor of capacitance C and inductor of inductance L are connected in parallel to an AC power source of voltage \( \varepsilon_0 \sin \omega t \). The maximum current through the resistance is half of the maximum current through the power source. Then value of R is:

Answer:
\( R = \sqrt{3}\left| \dfrac{1}{\omega C} - \omega L \right| \)