1
JEE Main 2024 (Online) 5th April Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A vernier callipers has 20 divisions on the vernier scale, which coincides with $$19^{\text {th }}$$ division on the main scale. The least count of the instrument is $$0.1 \mathrm{~mm}$$. One main scale division is equal to ________ mm.

A
5
B
2
C
1
D
0.5
2
JEE Main 2024 (Online) 5th April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Time periods of oscillation of the same simple pendulum measured using four different measuring clocks were recorded as $$4.62 \mathrm{~s}, 4.632 \mathrm{~s}, 4.6 \mathrm{~s}$$ and $$4.64 \mathrm{~s}$$. The arithmetic mean of these readings in correct significant figure is :

A
5 s
B
4.6 s
C
4.62 s
D
4.623 s
3
JEE Main 2024 (Online) 4th April Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Applying the principle of homogeneity of dimensions, determine which one is correct, where $$T$$ is time period, $$G$$ is gravitational constant, $$M$$ is mass, $$r$$ is radius of orbit.

A
$$T^2=\frac{4 \pi^2 r}{G M^2}$$
B
$$T^2=4 \pi^2 r^3$$
C
$$T^2=\frac{4 \pi^2 r^3}{G M}$$
D
$$T^2=\frac{4 \pi^2 r^2}{G M}$$
4
JEE Main 2024 (Online) 4th April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The equation of stationary wave is :

$$y=2 \mathrm{a} \sin \left(\frac{2 \pi \mathrm{nt}}{\lambda}\right) \cos \left(\frac{2 \pi x}{\lambda}\right) \text {. }$$

Which of the following is NOT correct :

A
The dimensions of $$\mathrm{nt}$$ is [L]
B
The dimensions of $$n$$ is $$[\mathrm{LT}^{-1}]$$
C
The dimensions of $$x$$ is [L]
D
The dimensions of $$n / \lambda$$ is [T]
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