1
JEE Main 2025 (Online) 29th January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The expression given below shows the variation of velocity (v) with time (t),

$v=\mathrm{At}^2+\frac{\mathrm{Bt}}{\mathrm{C}+\mathrm{t}}$.

The dimension of ABC is :

A

[M0L1T−2]

B

[M0L2T−3]

C

[M0L2T−2]

D

[M0L1T−3]

2
JEE Main 2025 (Online) 28th January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Match List - I with List - II.

List - I List - II
(A) Angular Impulse (I) M0 L2 T-2
(B) Latent Heat (II) M L2 T-3 A-1
(C) Electrical resistivity (III) M L2 T-1
(D) Electromotive force (IV) M L3 T-3 A-2

Choose the correct answer from the options given below:

A

(A)-(II), (B)-(I), (C)-(IV), (D)-(III)

B

(A)-(I), (B)-(III), (C)-(IV), (D)-(II)

C

(A)-(III), (B)-(I), (C)-(IV), (D)-(II)

D

(A)-(III), (B)-(I), (C)-(II), (D)-(IV)

3
JEE Main 2025 (Online) 24th January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

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 write

A
$y=1326.186$
B
$y=1326.2$
C
$y=1326.19$
D
$y=1330$
4
JEE Main 2025 (Online) 23rd January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
The energy of a system is given as $\mathrm{E}(\mathrm{t})=\alpha^3 \mathrm{e}^{-\beta t}$, where t is the time and $\beta=0.3 \mathrm{~s}^{-1}$. The errors in the measurement of $\alpha$ and $t$ are $1.2 \%$ and $1.6 \%$, respectively. At $t=5 \mathrm{~s}$, maximum percentage error in the energy is :
A
$6 \%$
B
$11.6 \%$
C
$4 \%$
D
$8.4 \%$
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