1
JEE Main 2024 (Online) 1st February Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
10 divisions on the main scale of a Vernier calliper coincide with 11 divisions on the Vernier scale. If each division on the main scale is of 5 units, the least count of the instrument is :
A
$\frac{5}{11}$
B
$\frac{10}{11}$
C
$\frac{50}{11}$
D
$\frac{1}{2}$
2
JEE Main 2024 (Online) 1st February Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
The dimensional formula of angular impulse is :
A
$\left[\mathrm{M} \mathrm{L}^2 \mathrm{~T}^{-2}\right]$
B
$\left[\mathrm{M} \mathrm{L}^{-2} \mathrm{~T}^{-1}\right]$
C
$\left[\mathrm{M} \mathrm{L}^2 \mathrm{~T}^{-1}\right]$
D
$\left[\mathrm{M} \mathrm{L} \mathrm{T}^{-1}\right]$
3
JEE Main 2024 (Online) 1st February Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
The radius $(\mathrm{r})$, length $(l)$ and resistance $(\mathrm{R})$ of a metal wire was measured in the laboratory as

$$ \begin{aligned} & \mathrm{r}=(0.35 \pm 0.05) ~\mathrm{cm} \\\\ & \mathrm{R}=(100 \pm 10) ~\mathrm{ohm} \\\\ & l=(15 \pm 0.2)~ \mathrm{cm} \end{aligned} $$

The percentage error in resistivity of the material of the wire is :
A
$37.3 \%$
B
$25.6 \%$
C
$35.6 \%$
D
$39.9 \%$
4
JEE Main 2024 (Online) 31st January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Consider two physical quantities $$A$$ and $$B$$ related to each other as $$E=\frac{B-x^2}{A t}$$ where $$E, x$$ and $$t$$ have dimensions of energy, length and time respectively. The dimension of $$A B$$ is

A
$$L^{-2} M^1 T^0$$
B
$$L^2 M^{-1} T^1$$
C
$$L^0 M^{-1} T^1$$
D
$$L^{-2} M^{-1} T^1$$
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