Competishun Header

Report Issue

JEE ADVANCED 2025
Paper-2 2025
Question
A projectile of mass 200 g is launched in a viscous medium at an angle $60^{\circ}$ with the horizontal, with an initial velocity of $240 \mathrm{~m} / \mathrm{s}$. It experiences a viscous drag force $\vec{F}=-c \vec{v}$ where the drag coefficient $\mathrm{c}=0.1 \mathrm{~kg} / \mathrm{s}$ and $\vec{v}$ is the instantaneous velocity of the projectile. The projectile hits a vertical wall after 2 s . Taking e $=$ 2.7, the horizontal distance of the wall from the point of projection (in m ) is $\_\_\_\_$
Write Your Answer
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution

$$ \begin{aligned} & v=w_i\left(w_i\right) \\ & F=0.1 \mathrm{kw}\left(v^2+v_{,} \hat{i}\right)-10 \mathrm{~m} \\ & d a-\left(\frac{\bar{w} \bar{i}+w_j \bar{j}}{z}\right)-10 \bar{j} \\ & d=-\frac{w_k}{z} i-\left(\frac{w_p+20}{z}\right) \bar{p} \\ & \frac{d w_n}{d r} \frac{-w_n}{2} \\ & \int_{n=1}^n \frac{d v_n}{q_n}-v_n \frac{d}{2} \\ & \ln \left(\frac{v}{135}\right)=-\frac{r}{2} \\ & p=135- \\ & \frac{d x}{d t}=13 e^{-} \\ & \int d x=13 e^{t^2} e^{-x t} \\ & =13.5-21[-1+\mathrm{c}] \\ & =270\left(1-\frac{1}{2}\right) \\ & =270\left(1-\frac{1}{27}\right) \\ & =270 \times \frac{1.7}{27} \\ & =170 \end{aligned} $$
Question Tags
JEE Advance
Physics
Easy
Start Preparing for JEE with Competishun
Video Solution
BY competishun
Video Solution
Watch Solution
Filters 0
JEE Main
JEE Advance
Easy
Medium
Hard
Showing 18 questions
QJEE MAIN_2026
A mass of 1 kg is kept on a inclined plane with $30^{\circ}$ inclination with respect to horizontal plane and...
JEE MainPhysicsMedium
View Solution
QJEE MAIN_2026
In an experiment to determine the resistance of a given wire using Ohm's law, the voltmeter and ammeter readings are...
JEE MainPhysicsHard
View Solution
QJEE MAIN_2026
Match List - I with List - II where h (Planck's constant), G (gravitational constant) and c (speed of light...
JEE MainPhysicsHard
View Solution
QJEE MAIN_2026
In the given circuit below inductance values of $L_1, L_2$ and $L_3$ are same. The magnetic energy stored in the...
JEE MainPhysicsMedium
View Solution
QJEE MAIN_2026
The charged particle moving in a uniform magnetic field of $(3 \hat{i}+2 \hat{j}) \mathrm{T}$ has an acceleration $...
JEE MainPhysicsEasy
View Solution
QJEE MAIN_2026
A transverse wave on a string is described by $y=3 \sin (36 t+0.018 x+\pi / 4)$. where $x, y$ are...
JEE MainPhysicsMedium
View Solution
QJEE MAIN_2026
From 18 m height above the ground a ball is dropped from rest. The height above the ground at which...
JEE MainPhysicsEasy
View Solution
QJEE MAIN_2026
A cube has side length 5 cm and modulus of rigidity $10^5 \mathrm{~N} / \mathrm{m}^2$. The displacement produced by a...
JEE MainPhysicsEasy
View Solution
QJEE MAIN_2026
For the given logic circuit, which of the following inputs combination will make both LED-1 and LED-2 to glow?
JEE MainPhysicsHard
View Solution
QJEE MAIN_2026
An a.c. source of angular frequency $\omega$ is connected across a resistor R and a capacitor C in series. The...
JEE MainPhysicsMedium
View Solution
QJEE MAIN_2026
Two wires as shown in the figure below, made of steel and have breaking stress of $...
JEE MainPhysicsMedium
View Solution
QJEE MAIN_2026
A compound microscope is designed with two symmetric biconvex lenses. The objective lens is cut vertically, creating two identical plano-convex...
JEE MainPhysicsMedium
View Solution
QJEE MAIN_2026
Light source having wavelength 331 nm is used to generate photo-electrons whose stopping potential is 0.2 V . The work...
JEE MainPhysicsEasy
View Solution
QJEE MAIN_2026
A ray of light passing through an equilateral prism is having velocity $2.12 \times 10^8 \mathrm{~m} / \mathrm{s}$ in the...
JEE MainPhysicsEasy
View Solution
QJEE MAIN_2026
In Young's double slit experiment, the fringe width of the interference pattern produced on the screen is $2.4 \mu \mathrm{~m}$....
JEE MainPhysicsEasy
View Solution
QJEE MAIN_2026
Refer to the figure given below, current between terminals A and B is $\_\_\_\_$ A.
JEE MainPhysicsMedium
View Solution
QJEE MAIN_2026
A displacement current of 4.0 A can be set up in the space between two parallel plates of $...
JEE MainPhysicsEasy
View Solution
QJEE MAIN_2026
In the hydrogen atom, the electron makes a transition from the higher orbit (i) to a lower orbit (f). The...
JEE MainPhysicsMedium
View Solution
Check this project | Best Developer Portfolio