1
JEE Main 2024 (Online) 31st January Evening Shift
MCQ (Single Correct Answer)
+4
-1

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
$$L^{-2} M^{-1} T^1$$
2
JEE Main 2024 (Online) 31st January Evening Shift
MCQ (Single Correct Answer)
+4
-1

The measured value of the length of a simple pendulum is $$20 \mathrm{~cm}$$ with $$2 \mathrm{~mm}$$ accuracy. The time for 50 oscillations was measured to be 40 seconds with 1 second resolution. From these measurements, the accuracy in the measurement of acceleration due to gravity is $$\mathrm{N} \%$$. The value of $$\mathrm{N}$$ is:

A
6
B
5
C
4
D
8
3
JEE Main 2024 (Online) 31st January Morning Shift
MCQ (Single Correct Answer)
+4
-1

If the percentage errors in measuring the length and the diameter of a wire are $$0.1 \%$$ each. The percentage error in measuring its resistance will be:

A
0.144%
B
0.2%
C
0.1%
D
0.3%
4
JEE Main 2024 (Online) 31st January Morning Shift
MCQ (Single Correct Answer)
+4
-1

A force is represented by $$F=a x^2+b t^{\frac{1}{2}}$$

where $$x=$$ distance and $$t=$$ time. The dimensions of $$b^2 / a$$ are:

A
$$\left[\mathrm{ML}^2 \mathrm{~T}^{-3}\right]$$
B
$$\left[\mathrm{ML}^3 \mathrm{~T}^{-3}\right]$$
C
$$\left[M L T^{-2}\right]$$
D
$$\left[M L^{-1} T^{-1}\right]$$
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