An inclined plane making an angle of $30^{\circ}$ with the horizontal is placed in a uniform horizontal
electric field $200 \frac{\mathrm{N}}{\mathrm{C}}$ as shown in the figure. A body
of mass $1 \mathrm{~kg}$ and charge $5 \mathrm{mC}$ is allowed to slide down from rest at a height of $1 \mathrm{~m}$. If the coefficient of friction is $0.2$, find the time taken by the body
to reach the bottom. $\left[g=9.8 \mathrm{~m} / \mathrm{s}^{2}, \sin 30^{\circ}=\frac{1}{2}\right.$
$\left.\cos 30^{\circ}=\frac{\sqrt{3}}{2}\right]$
$0.92 \mathrm{~s}$
$0.46 \mathrm{~s}$
$2.3 \mathrm{~s}$
$1.3 \mathrm{~s}$
Correct Option: , 4
FBD
here $\mathrm{N}=9.8 \cos 30+1 \sin 30$ $\approx 9 \mathrm{~N}$
so $\mathrm{a}=\frac{9.8 \sin 30-1 \cos 30-\mu \mathrm{N}}{1}$
$\mathrm{a}=2.233 \mathrm{~m} / \mathrm{s}^{2}$
By $S=u t+\frac{1}{2} a t^{2}$
$=\frac{1}{2}(2.233) \mathrm{t}^{2}$
$\sin 30^{\circ}$
$\mathrm{t} \approx 1.3 \mathrm{sec}$
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All Study Material
- JEE Main
- Exam Pattern
- Previous Year Papers
- PYQ Chapterwise
- Physics
- Kinematics 1D
- Kinemetics 2D
- Friction
- Work, Power, Energy
- Centre of Mass and Collision
- Rotational Dynamics
- Gravitation
- Calorimetry
- Elasticity
- Thermal Expansion
- Heat Transfer
- Kinetic Theory of Gases
- Thermodynamics
- Simple Harmonic Motion
- Wave on String
- Sound waves
- Fluid Mechanics
- Electrostatics
- Current Electricity
- Capacitor
- Magnetism and Matter
- Electromagnetic Induction
- Atomic Structure
- Dual Nature of Matter
- Nuclear Physics
- Radioactivity
- Semiconductors
- Communication System
- Error in Measurement & instruments
- Alternating Current
- Electromagnetic Waves
- Wave Optics
- X-Rays
- All Subjects
- Physics
- Motion in a Plane
- Law of Motion
- Work, Energy and Power
- Systems of Particles and Rotational Motion
- Gravitation
- Mechanical Properties of Solids
- Mechanical Properties of Fluids
- Thermal Properties of matter
- Thermodynamics
- Kinetic Theory
- Oscillations
- Waves
- Electric Charge and Fields
- Electrostatic Potential and Capacitance
- Current Electricity
- Thermoelectric Effects of Electric Current
- Heating Effects of Electric Current
- Moving Charges and Magnetism
- Magnetism and Matter
- Electromagnetic Induction
- Alternating Current
- Electromagnetic Wave
- Ray Optics and Optical Instruments
- Wave Optics
- Dual Nature of Radiation and Matter
- Atoms
- Nuclei
- Semiconductor Electronics: Materials, Devices and Simple Circuits.
- Chemical Effects of Electric Current,