BITSAT 2024

Which of the following transitions of $ \mathrm{He}^{+} $ion will give rise to spectral line which has same wavelength as the spectral line in hydrogen atom?

A parallel plate capacitor consists of two circular plates of radius $ R=0.1 \mathrm{~m} $. They are separated by a short distance. If electric field between the capacitor plates changes as $ \frac{d E}{d t}=6 \times 10^{13} \frac{\mathrm{~...

A ball falling freely from a height of $ 4.9 \mathrm{~m} / \mathrm{s} $, hits a horizontal surface. If $ e=\frac{3}{4} $, then the ball will hit the surface, second time after.

A conducting wire is stretched by applying a deforming force, so that its diameter decreases to $ 40 \% $ of original value. The percentage change in its resistance will be

In the following circuit diagram, when $ 3 \Omega $ resistor is removed, then equivalent resistance of the network

Find the average value of current shown graphically from $ t=0 $ to $ t=2 \mathrm{~s} $.

In the given circuit, $ E_{1}=E_{2}=E_{3}=2 \mathrm{~V} $ and $ R_{1}=R_{2}=4 \Omega $, then current flowing through the branch $ A B $ 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 potentia...

Inside a solenoid of radius 0.5 m , magnetic field is changing at a rate of $ 50 \times 10^{-6} \mathrm{~T} / \mathrm{s} $. Acceleration of an electron placed at a distance of 0.3 m from axis of solenoid will be

A dust particle of mass $ 4 \times 10^{-12} \mathrm{mg} $ in suspended in air under the influence of an electric field of $ 50 \mathrm{~N} / \mathrm{C} $ directed vertically upwards. How many electrons were removed from the neutral dust par...

An oil drop of radius $ 1 \mu \mathrm{~m} $ is held stationary under a constant electric field of $ 3.65 \times 10^{4} \mathrm{~N} / \mathrm{C} $ due to some excess electrons presence on it. If the density of oil drop is $ 1.26 \mathrm{~g} ...

Electric field at point $ (30,30,0) $ due to a charge of $ 0.008 \mu \mathrm{C} $ placed at origin will be, (coordinates are in cm )

The potential of a large liquid drop when eight liquid drops are combined is 20 V , then the potential of each single drop was

A body which is initially at rest at a height $ R $ above the surface of the Earth of radius $ R $, falls freely towards the Earth, then its velocity on reaching the surface of the Earth is

In a mixture of gases, the average number of degree of freedoms per molecule is 6 . The rms speed of the molecule of the gas is $ c $, then the velocity of sound in the gas is

In the given cycle $ A B C D A $, the heat required for an ideal monoatomic gas will be

A projectile is projected with velocity of $ 40 \mathrm{~m} / \mathrm{s} $ at an angle $ \theta $ with the horizontal. If $ R $ be the horizontal range covered by the projectile and after $ t $ seconds, its inclination with horizontal becom...

The straight wire $ A B $ carries a current $ I $. The ends of the wire subtend angles $ \theta_{1} $ and $ \theta_{2} $ at the point $ P $ as shown in figure. The magnetic field at the point $ P $ is

Power of biconvex lens is $ P $ diopter. When it is cut into two symmetrical halves by a plane containing the principal axis. The ratio of power of two halves is

The magnifying power of a telescope is 9 . When it is adjusted for parallel rays, the distance between the objective and eyepiece is 20 cm . The ratio of focal length of objective lens to focal length of eyepiece is found to be $ m $, then ...

The moment of inertia of a cube of mass $ m $ and side $ a $ about one of its edges is equal to

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

Identify the correct output signal $ Y $ in the given combination of gates for the given inputs $ A $ and $ B $ shown in the figure.

Five identical springs are used in the three configurations as shown in figure. The time periods of vertical oscillations in configurations (a), (b) and (c) are in the ratio.

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

In YDSE, monochromatic light falls on a screen 1.80 m from two slits separated by 2.08 mm . The first and second order bright fringes are separated by 0.553 mm . The wavelength of light used is

Young's double slit experiment is performed in a medium of refractive index of 1.33 . The maximum intensity is $ I_{0} $. The intensity at a point on the screen, where path difference between the light coming out from slits is $ \frac{\lamb...

A pendulum of mass 1 kg and length $ l=1 \mathrm{~m} $ is released from rest at angle $ \theta=60^{\circ} $. The power delivered by all the forces acting on the bob at angle $ \theta=30^{\circ} $ will be (Take, $ g=10 \mathrm{~m} / \mathrm{...

A force of $ F=0.5 \mathrm{~N} $ is applied on lower block as shown in figure. The work done by lower block on upper block for a displacement of 3 m of the upper block with respect to ground is (Take, $ g=10 \mathrm{~m} / \mathrm{s}^{2} $ )

An ideal massless spring $ S $ can be compressed 1 m by a force of 100 N in equilibrium. The same spring is placed at the bottom of a frictionless inclined plane inclined at $ 30^{\circ} $ to the horizontal. A 10 kg block $ M $ is released ...