Question 3 :
A wire has a mass (0.3 ± 0.003) g, radius (0.5 ± 0.005) mm and length (6 ± 0.06) cm. The maximum percentage error in the measurement of its density is-
Question 4 :
A spherometer has 20 threads per cm. Its circular scale has 100 divisions. Find the least count of spherometer -
Question 5 :
Dimensions of one or more pairs are same. Identify the pairs
Question 7 :
The density of a cube is measured by measuring its mass and length of its sides. If the maximum errors in the measurement of its mass and length are 4% and 3% respectively, the maximum error in density is -
Question 9 :
A student measured the length of a pendulum 1.351 m and time for 30 vibrations is 2 minutes 10 sec using his wrist watch. Find the percent error in g committed.
Question 10 :
Two resistances of 400 {tex}\Omega{/tex} and 800 {tex}\Omega{/tex} connected in series with a 6 volt battery of negligible internal resistance. A voltmeter of resistance 10,000 {tex}\Omega{/tex} is used to measure the potential difference across 400 {tex}\Omega{/tex}. The error in the measurement of potential difference in volts approximately is
Question 11 :
Find a vector {tex} \vec { x } {/tex} which is perpendicular to both {tex} \vec { A } {/tex} and {tex} \vec { B } {/tex} but has magnitude equal to that of {tex} \vec { B } {/tex} . Rule: Inter change coeff. of {tex} \hat { i } {/tex} and {tex} \hat { j } {/tex} and change sign of one of the vectors. {tex} \vec { A } = 3 \hat { i } - 2 \hat { j } + \hat { k } , \vec { B } = 4 \hat { i } + 3 \hat { j } - 2 \hat { k } {/tex}
Question 12 :
The dimension of quantity {tex} ( L / R C V ) {/tex} is
Question 13 :
If velocity {tex} v {/tex}, acceleration {tex} A {/tex} and force {tex} F {/tex} are chosen as fundamental quantities, then the dimensional formula of angular momentum in terms of {tex} v , A {/tex} and {tex} F {/tex} would be
Question 14 :
Two capacitors {tex} C _ { 1 } = 5.2 \mu F{/tex} and {tex} 0.1 \mu F{/tex} and {tex} C _ { 2 } = 12.2 \mu F {/tex} are joined (i) In series (ii) In parallel. Find the net capacitance in these two cases.
Question 15 :
If a copper wire is stretched to make its radius decrease by 0.1{tex} \% {/tex}, then the percentage increase in resistance is approximately
Question 17 :
{tex} E , m , l {/tex} and {tex} G {/tex} denote energy, mass, angular momentum and gravitational constant respectively, then the dimension of {tex} \frac { E l ^ { 2 } } { m ^ { 5 } G ^ { 2 } } {/tex} are
Question 18 :
Let {tex} \left[ \varepsilon _ { 0 } \right] {/tex} denotes the dimensional formula of the permittivity of the vacuum and {tex} \left[ \mu _ { 0 } \right] {/tex} that of the permeability of the vacuum. If {tex} M ={/tex} mass, {tex}L = {/tex} length, {tex} T = {/tex} Time and {tex} I = {/tex} electric current then
Question 19 :
The ratio of the dimension of Planck's constant and that of moment of inertia is the dimension of
Question 20 :
Error in the measurement of radius of sphere is 2{tex} \% {/tex}. Then error in the calculation of volume will be
Question 21 :
The density of wood is 0.5 g cm<sup>-3</sup> in cgs system of units. The corresponding value in SI units is-
Question 24 :
{tex}Assertion:{/tex} Specific gravity of a fluid is a dimensionless quantity
<br>{tex}Reason: {/tex} It is the ratio of density of fluid to density of water.
Question 27 :
Two forces {tex} \vec { F } _ { 1 } = 500 \mathrm { N } {/tex} due east and {tex} \vec { F } _ { 2 } = 250 \mathrm { N } {/tex} due north have their common initial point. {tex} \vec { F } _ { 2 } - \vec { F } _ { 1 } {/tex} is
Question 28 : In the given relation P = <img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e75c5f3491ec95800697483' height='40' width='41' >, where P is power, x is distance and t is time, the dimensions of 'a' will be -
Question 29 : Match the Column I with Column II <table><tr><th>Column I Physical quantity</th> <th>Column II Name of unit</th> </tr><tr><td>(A) Conductance</td> <td>(p) Gray</td> </tr> <tr><td>(B) Magnetic induction </td> <td>(q) Lumen</td> </tr> <tr><td>(C) Absorbed dose</td> <td>(r) Tesla</td> </tr> <tr><td>(D) Luminous flux</td> <td>(s) Siemens</td></tr></table>
