New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Units and Measurements question

2025 · 23 Jan · Shift 1 · Q55

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Physics
Units and Measurements
2025 · 23 Jan · Shift 1 · Q55

Units and Measurements question

2025 · 23 Jan · Shift 1 · Q55

JEE MainPhysicsUnits and MeasurementsMCQ+4 / −1

The position of a particle moving on

x

-axis is given by

x(t)=A \sin t+B \cos ^2 t+C t^2+D

, where

t

is time. The dimension of

\frac{A B C}{D}

is

A
$\mathrm{L}$
B
$\mathrm{L}^3 \mathrm{~T}^{-2}$
C
$\mathrm{L}^2 \mathrm{~T}^{-2}$
D
$\mathrm{L}^2$

More from Units and Measurements

The energy of a system is given as $E (t) = α^{3} e^{- β t}$ , where t is the time and $β = 0.3 s^{- 1}$ . The errors in the measurement of $α$ and $t$ are $1.2%$ and $1.6%$ , respectively. At…2025 · MCQ
Match List - I with List - II Choose the correct answer from the options given below : Includes table2025 · MCQ
For an experimental expression $y = \frac{32.3 \times 1125}{27.4}$ , where all the digits are significant. Then to report the value of $y$ we should write2025 · MCQ
The least count of a screw guage is 0.01 mm . If the pitch is increased by $75%$ and number of divisions on the circular scale is reduced by $50%$ , the new least count will be $\times 1 0^{- 3} mm$ 2025 · Numerical
A tiny metallic rectangular sheet has length and breadth of 5 mm and 2.5 mm , respectively. Using a specially designed screw gauge which has pitch of 0.75 mm and 15 divisions in the circular scale, you are asked to find the area of the…2025 · Numerical
Match List - I with List - II. Choose the correct answer from the options given below: Includes table2025 · MCQ
The pair of physical quantities not having the same dimensions is :2025 · MCQ
The expression given below shows the variation of velocity (v) with time (t), $v = At^{2} + \frac{Bt}{C + t}$ . The dimension of ABC is :2025 · MCQ