Welcome to SATHEE !
Select from 'Menu' to explore our services, or ask SATHEE to get started. Let's embark on this
journey of growth together! 🌐📚🚀🎓
I'm relatively new and can sometimes make mistakes. If you notice
any error, such as an incorrect solution, please use the thumbs down icon to aid my learning.
To begin your journey now, click on
##### 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
1. [ ] $1.4$ $\mathrm{m}$ $\pm$ $0.4$ $\mathrm{m}$
2. [ ] $1.41$ $\mathrm{m}$ $\pm$ $0.15$ $\mathrm{m}$
3. [ ] $1.4$ $\mathrm{m}$ $\pm$ $0.3$ $\mathrm{m}$
4. [x] $1.4$ $\mathrm{m}$ $\pm$ $0.2$ $\mathrm{m}$
##### A student measured the length of the pendulum 1.21 m using a metre scale and time for 25 vibrations as 2 min 20 sec using his wrist watch, absolute error in $g$ is
1. [ ] $0.11$ $\mathrm{ms}^{-2}$
2. [ ] $0.88$ $\mathrm{ms}^{-2}$
3. [ ] $0.44$ $\mathrm{ms}^{-2}$
4. [x] $0.22$ $\mathrm{ms}^{-2}$
##### The absolute error in density of a sphere of radius 10.01 cm and mass 4.692 kg is
1. [x] $3.59$ $\mathrm{kgm}^{-3}$
2. [ ] $4.692$ $\mathrm{kgm}^{-3}$
3. [ ] 0
4. [ ] $1.12$ $\mathrm{kgm}^{-3}$
##### A sphere has a mass of $12.2$ $\mathrm{kg}$ $\pm$ $0.1$ $\mathrm{kg}$ and radius $10$ $\mathrm{cm}$ $\pm$ $0.1$ $\mathrm{cm}$, the maximum $\\%$ error in density is
1. [ ] $10 \\%$
2. [ ] $2.4 \\%$
3. [x] $3.83 \\%$
4. [ ] $4.2 \\%$
##### If error in measurement of radius of sphere is $1 \\%$, what will be the error in measurement of volume?
1. [ ] $1 \\%$
2. [ ] $\dfrac{1}{3} \\%$
3. [x] $3 \\%$
4. [ ] $10 \\%$
##### What is the percentage error in the measurement of the time period $T$ of a pendulum, if the maximum errors in the measurements of $l$ and $g$ are $2 \\%$ and $4 \\%$, respectively?
1. [ ] $6 \\%$
2. [ ] $4 \\%$
3. [x] $3 \\%$
4. [ ] $5 \\%$,
##### The density of a material in the shape of a cube is determined by measuring three sides of the cube and its mass. If the relative errors in measuring the mass and length are respectively $1.5 \\%$ and $1 \\%$, the maximum error in determining the density is $\rightarrow$ JEE Main 2018
1. [ ] $2.5 \\%$
2. [ ] $3.5 \\%$
3. [x] $4.5 \\%$
4. [ ] $6 \\%$
##### Which one of the following represents the correct dimensions of the coefficient of viscosity?
1. [ ] $\[\mathrm{ML}^{-1} \mathrm{T}^{-2}\]$
2. [ ] $\[\mathrm{MLT}^{-1}\]$
3. [x] $\[\mathrm{ML}^{-1} \mathrm{T}^{-1}\]$
4. [ ] $\[\mathrm{ML}^{-2} \mathrm{T}^{-2}\]$
##### Which of the following sets share different dimensions?
1. [ ] Pressure, Young's modulus, stress
2. [ ] Emf, potential difference, electric potential
3. [ ] Heat, work done, energy
4. [x] Dipole moment, electric flux, electric field
The Ministry of Education has launched the SATHEE initiative in association with IIT Kanpur to provide free guidance for competitive exams. SATHEE offers a range of resources, including reference video lectures, mock tests, and other resources to support your preparation.
Please note that participation in the SATHEE program does not guarantee clearing any exam or admission to any institute.
BETA
