Mechanics
Units & Measurement and DimensionsMotion in a Straight LineLaws of MotionCircular MotionWork, Energy and PowerRotational MotionGravitationSimple Harmonic MotionFluid MechanicsWavesHeat and ThermodynamicsOptics
Ray OpticsElectromagnetism
ElectrostaticsCurrent ElectricityCapacitorMoving Charges and MagnetismElectromagnetic InductionAlternating CurrentElectromagnetic WavesModern Physics
Atoms and NucleiDual Nature of RadiationSemiconductor Devices and Logic GatesGravitation
Practice QuestionsMCQ (Single Correct Answer)
1
Two spherical bodies A and B each of mass $M$ and radius $R$ are located such that their centers are apart by a distance of $4 R$ as shown in the figure. An object $C$ of mass $m$ is thrown from the surface of A directly towards the center of B with a speed $v_0=2 v_{\text {min }}$, where $v_m$ in is the minimum speed needed for $C$ to reach the surface of $B$. Given that $G$ is the universal gravitational constant, how does the speed $v(x)$ of C change as a function of its distance from the center of A?
IAT (IISER) 2023
2
The acceleration due to earth's gravity on a point particle at a height $h$ above the surface of the earth is denoted by $g_o(h)$ and at a depth $d$ below the surface of the earth is denoted by $g_i(d)$. Consider the earth to be a sphere of radius $R$ with uniform mass density. Which of the following correctly represents the ratio $g_i(d) / g_o(d)$ ?
IAT (IISER) 2020