1
JEE Main 2025 (Online) 23rd January Evening Shift
Numerical
+4
-1
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The variance of the numbers $8,21,34,47, \ldots, 320$ is _______.

Your input ____
2
JEE Main 2025 (Online) 23rd January Evening Shift
MCQ (Single Correct Answer)
+4
-1
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The equation of a transverse wave travelling along a string is $y(x, t)=4.0 \sin \left[20 \times 10^{-3} x+600 t\right] \mathrm{mm}$, where $x$ is in mm and $t$ is in second. The velocity of the wave is :

A
$-60 \mathrm{~m} / \mathrm{s}$
B
$+60 \mathrm{~m} / \mathrm{s}$
C
$+30 \mathrm{~m} / \mathrm{s}$
D
$-30 \mathrm{~m} / \mathrm{s}$
3
JEE Main 2025 (Online) 23rd January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A plane electromagnetic wave of frequency 20 MHz travels in free space along the $+x$ direction. At a particular point in space and time, the electric field vector of the wave is $\mathrm{E}_y=9.3 \mathrm{Vm}^{-1}$. Then, the magnetic field vector of the wave at that point is

A
$\mathrm{B}_z=1.55 \times 10^{-8} \mathrm{~T}$
B
$\mathrm{B}_z=6.2 \times 10^{-8} \mathrm{~T}$
C
$\mathrm{B}_z=3.1 \times 10^{-8} \mathrm{~T}$
D
$\mathrm{B}_z=9.3 \times 10^{-8} \mathrm{~T}$
4
JEE Main 2025 (Online) 23rd January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

If a satellite orbiting the Earth is 9 times closer to the Earth than the Moon, what is the time period of rotation of the satellite? Given rotational time period of Moon $=27$ days and gravitational attraction between the satellite and the moon is neglected.

A
3 days
B
27 days
C
81 days
D
1 day
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