Q JEE MAIN_2026

The percentage error in the calculated volume of a sphere, if there is $2 \%$ error in its diameter measurement,...

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Q JEE MAIN_2026

The density $\rho$ of a uniform cylinder is determined by measuring its mass $m$, length I and diameter $d$. The...

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Q JEE MAIN_2026

In an experiment to determine the resistance of a given wire using Ohm's law, the voltmeter and ammeter readings are...

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Q JEE MAIN_2026

In a Vernier calipers, when both jaws touch each other, zero of the Vernier scale is shifted to the right...

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Q JEE MAIN_2026

In a screw gauge when the circular scale is given five complete rotations it moves linearly by 2.5 mm. If...

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Q JEE MAIN_2026

In a screw gauge the zero of main scale reference line coincides with the fifth division of the circular scale...

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Q JEE MAIN_2026

The diameter of a wire measured by a screw gauge of least count 0.001 cm is 0.08 cm . The...

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Q JEE Main 2024

One main scale division of a vernier caliper is equal to $m$ units. If $n^{\text {th }}$ division of main...

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Q JEE MAIN 2026

In a screw gauge, the zero of the circular scale lies 3 divisions above the horizontal pitch line when their...

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Q JEE MAIN_2026_

Which one of the following is not a measurable quantity?

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Q JEE MAIN_2026

The speed of a longitudinal wave in a metallic bar is $400 \mathrm{~m} / \mathrm{s}$. If the density and Young's...

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Q JEE MAIN_2026_

The time period of a simple harmonic oscillator is $T=2 \pi \sqrt{\frac{k}{m}}$. Measured value of mass $(m)$ of the object...

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Q JEE MAIN 2026

When both jaws of vernier callipers touch each other, zero mark of the vernier scale is right to zero mark...

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Q JEE MAIN 2026

In a vernier callipers, 50 vernier scale divisions are equal to 48 main scale divisions. If one main scale division...

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Q JEE MAIN 2026

A simple pendulum of string length 30 cm performs 20 oscillations in 10 s . The length of the string...

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Q JEE MAIN 2026

Four persons measure the length of a rod as $20.00 \mathrm{~cm}, 19.75 \mathrm{~cm}, 17.01 \mathrm{~cm}$ and 18.25 cm . The...

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Q JEE MAIN 2026

When a part of a straight capillary tube is placed vertically in a liquid, the liquid raises upto certain height...

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Q JEE MAIN 2026

A spherical body of radius $r$ and density $\sigma$ falls freely through a viscous liquid having density $\rho$ and viscosity...

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Q JEE MAIN 2026

Keeping the significant figures in view, the sum of the physical quantities 52.01 m, 153.2 m and 0.123 m is...

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Q JEE MAIN 2026

In an experiment the values of two spring constants were measured as $k_1=(10 \pm 0.2) \mathrm{N} / \mathrm{m}$ and $...

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Q JEE MAIN 2020

The least count of the main scale of a vernier callipers is 1 mm . Its vernier scale is divided...

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Q JEE MAIN 2020

When the temperature of a metal wire is increased from 0°C to 10°C, its length increases by 0.02%. The percentage...

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Q JEE MAIN 2020

A physical quantity $z$ depends on four observables $a, b, c$ and $d$, as $z=\frac{a^2 b^{\frac{2}{3}}}{\sqrt{c d^3}}$. The percentages of...

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Q JEE MAIN 2020

A screw gauge has 50 divisions on its circular scale. The circular scale is 4 units ahead of the pitch...

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Q JEE MAIN 2020

A student measuring the diameter of a pencil of circular cross-section with the help of a vernier scale records the...

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Q JEE MAIN 2020

If the screw on a screw-gauge is given six rotations, it moves by 3 mm on the main scale. If...

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Q JEE MAIN 2019

The pitch and the number of divisions, on the circular scale, for a given screw gauge are 0.5 mm and...

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Q JEE MAIN 2020

A cube of metal is subjected to a hydrostatic pressure of 4 GPa . The percentage change in the length...

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Q JEE MAIN 2019

The area of a square is $5.29 \mathrm{~cm}^2$. The area of 7 such squares taking into account the significant figures...

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Q JEE MAIN 2020

A non-isotropic solid metal cube has coefficients of linear expansion as: $5 \times 10^{-5} /{ }^{\circ} \mathrm{C}$ along the x-axis...

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Q JEE MAIN 2019

The diameter and height of a cylinder are measured by a meter scale to be $12.6 \pm 0.1 \mathrm{~cm}$ and...

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Q JEE MAIN 2021

The diameter of a spherical bob is measured using a vernier callipers. 9 divisions of the main scale, in the...

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Q JEE MAIN 2021

The diameter of a spherical bob is measured using a vernier callipers. 9 divisions of the main scale, in the...

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Q JEE MAIN 2021

In a Screw Gauge, fifth division of the circular scale coincides with the reference line when the ratchet is closed....

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Q JEE MAIN 2021

A physical quantity ‘y’ is represented by the formula $y=m^2 r^{-4} g^x l^{-\frac{3}{2}}$ . If the percentage errors found in...

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Q JEE-MAIN 2021

22. Student A and student B used two screw gauges of equal pitch and 100 equal circular divisions to measure...

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Q JEE MAIN 2021

Three students $S_1, S_2$ and $S_3$ perform an experiment for determining the acceleration due to gravity (g) using a simple...

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Q JEE MAIN 2021

Assertion A : If in five complete rotations of the circular scale, the distance travelled on main scale of the...

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Q JEE MAIN 2021

The radius of a sphere is measured to be $(7.50 \pm 0.85) \mathrm{cm}$. Suppose the percentage error in its volume...

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Q _JEE_MAIN_2021

The vernier scale used for measurement has a positive zero error of 0.2 mm. If while taking a measurement it...

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Q JEE MAIN 2021

One main scale division of a vernier callipers is ' $a$ ' cm and $n$th division of the vernier scale...

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Q JEE MAIN 2021

The pitch of the screw gauge is 1mm and there are 100 divisions on the circular scale. When nothing is...

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Q JEE MAIN 2021

Given below are two statements : Statement I : PN junction diodes can be used to function as transistor, simply...

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Q JEE MAIN 2021

The period of oscillation of a simple pendulum is $\mathrm{T}=2 \pi \sqrt{\frac{\mathrm{~L}}{\mathrm{~g}}}$. Measured value of ' L ' is 1.0...

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Q JEE MAIN 2022

A student in the laboratory measures thickness of a wire using screw gauge. The readings are 1.22 mm , $...

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Q JEE MAIN 2022

In an experiment to find acceleration due to gravity ( g ) using simple pendulum, time period of 0.5 s...

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Q JEE MAIN 2022

The maximum error in the measurement of resistance, current and time for which current flows in an electrical circuit are...

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Q JEE MAIN 2022

In an experiment to find out the diameter of wire using screw gauge, the following observation were noted :

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Q JEE MAIN 2022

A travelling microscope has 20 divisions per cm on the main scale while its Vernier scale has total 50 divisions...

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Q JEE MAIN 2022

The one division of main scale of vernier calipers reads 1mm and 10 division of Vernier scale is equal to...

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Q JEE MAIN 2022

A screw gauge of pitch 0.5mm is used to measure the diameter of uniform wire of length 6.8cm, the main...

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Q JEE MAIN 2022

In a Vernier Calipers. 10 divisions of Vernier scale is equal to the 9 divisions of main scale. When both...

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Q Main 2022

If the radius of earth shrinks by 2% while its mass remains same. The acceleration due to gravity on the...

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Q JEE MAIN 2022

A torque meter is calibrated to reference standards of mass, length and time each with 5% accuracy. After calibration, the...

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Q JEE MAIN 2022

The vernier constant of Vernier callipers is 0.1 mm and it has zero error of (–0.05) cm. While measuring diameter...

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Q JEE MAIN 2022

For $Z=a^2 x^3 y^{\overline{2}}$, where ' $a$ ' is a constant. If percentage error in measurement of ' $x$ '...

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Q JEE MAIN 2022

In a vernier callipers, each cm on the main scale is divided into 20 equal parts. If tenth vernier scale...

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Q JEE MAIN 2022

If $Z=\frac{A^2 B^3}{C^4}$, then the relative error in $Z$ will be

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Q JEE-Main_2024

A physical quantity $Q$ is found to depend on quantities $a, b, c$ by the relation $Q=\frac{a^4 b^3}{c^2}$. The percentage...

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Q JEE MAIN 2024

The measured value of the length of a simple pendulum is 20" " cm with 2" " mm accuracy. The...

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Q JEE MAIN 2024

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R)....

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Q JEE MAIN 2024

If 50 Vernier divisions are equal to 49 main scale divisions of a travelling microscope and one smallest reading of...

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Q JEE MAIN_2025

A physical quantity $C$ is related to four other quantities $p, q, r$ and $s$ as follows $$ C=\frac{p q^2}{r^3...

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Q JEE MAIN 2025

A quantity Q is formulated as $\mathrm{X}^{-2} \mathrm{Y}^{+\frac{3}{2}} \mathrm{Z}^{-\frac{2}{5}} \cdot \mathrm{X}, \mathrm{Y}$ and Z are independent parameters which have fractional...

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Q JEE MAIN 2025

For the determination of refractive index of glass slab, a travelling microscope is used whose main scale contains 300 equal...

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Q JEE MAIN 2023

In an experiment with Vernier callipers of least count 0.1 mm, when two jaws are joined together the zero of...

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Q JEE MAIN 2023

A 2 meter long scale with least count of 0.2 cm is used to measure the locations of objects on...

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Q JEE MAIN 2023

A body of mass $(5 \pm 0.5) \mathrm{kg}$ is moving with a velocity of $(20 \pm 0.4) \mathrm{m} / \mathrm{s}$....

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Q JEE MAIN 2023

A cylindrical wire of mass $(0.4 \pm 0.01) \mathrm{g}$ has length $(8 \pm 0.04) \mathrm{cm}$ and radius $...

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Q JEE MAIN 2023

Two resistances are given as $\mathrm{R}_1=(10 \pm 0.5) \Omega$ and $\mathrm{R}_2=(10 \pm 0.5) \Omega$. The percentage error in the measurement...

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Q JEE MAIN 2023

In a screw gauge, there are 100 divisions on the circular scale and the main scale moves by 0.5 mm...

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Q JEE MAIN

The diameter of a sphere is measured using a vernier caliper whose 9 divisions of main scale are equal to...

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Q JEE MAINS 2024

If the percentage errors in measuring the length and the diameter of a wire are 0.1% each. The percentage error...

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Q JEE MAIN

Young's modulus is determined by the equation given by $\mathrm{Y}=49000 \frac{\mathrm{~m}}{\ell} \frac{\text { dyne }}{\mathrm{cm}^2}$ where M is the mass...

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Q JEE MAIN

While measuring diameter of wire using screw gauge the following readings were noted. Main scale reading is 1" " mm...

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Q JEE ,MAIN

To find the spring constant (k) of a spring experimentally, a student commits 2% positive error in the measurement of...

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Q JEE MAIN 2024

Time periods of oscillation of the same simple pendulum measured using four different measuring clocks were recorded as 4.62s,4.632s,4.6s and...

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Q JEE MAIN

The radius (r), length (l) and resistance (R) of a metal wire was measured in the laboratory as r=(0.35±0.05)cm R=(100±10)...

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Q JEE MAIN 2024

The resistance $\mathrm{R}=\frac{\mathrm{V}}{\mathrm{I}}$ where $\mathrm{V}=(200 \pm 5) \mathrm{V}$ and $\mathrm{I}=(20 \pm 0.2) \mathrm{A}$, the percentage error in the measurement of...

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Q JEE MAIN 2024

Identify the physical quantity that cannot be measured using spherometer :

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Q JEE MAIN 2025

A physical quantity $Q$ is related to four observables $\mathrm{a}, \mathrm{b}, \mathrm{c}, \mathrm{d}$ as follows : $\mathrm{Q}=\frac{\mathrm{ab}}{} \mathrm{a}^{4}$ where, $...

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Q JEE MAIN 2025

A person measures mass of 3 different particles as 435.42 g, 226.3g and 0.125 g. According to the rules for...

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Q JEE MAIN 2025

A tiny metallic rectangular sheet has length and breadth of 5 mm and 2.5 mm, respectively. Using a specially designed...

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Q JEE MAIN 2025

The least count of a screw gauge is 0.01 mm. If the pitch is increased by 75% and number of...

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Q JEE MAIN 2025

For an experimental expression $y = \frac{{32.3 \times 1125}}{{27.4}}$, where all the digits are significant. Then to report the value...

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Q JEE MAIN 2025

The energy of a system is given as $E(t)=\alpha^{3} e^{-\beta t}$, where $t$ is the time and $\beta=0.3 \mathrm{~s}^{-1}$. The...

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Q JEE MAIN 2025

Given below are two statements : Statement I: In a vernier callipers, one vernier scale division is always smaller than...

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