JEE Main 2024 (Online) 5th April Morning Shift | Units & Measurements Question 72 | Physics

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 :

5 s

4.6 s

4.62 s

4.623 s

JEE Main 2024 (Online) 4th April Evening Shift

MCQ (Single Correct Answer)

-1

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.

$$T^2=\frac{4 \pi^2 r}{G M^2}$$

$$T^2=4 \pi^2 r^3$$

$$T^2=\frac{4 \pi^2 r^3}{G M}$$

$$T^2=\frac{4 \pi^2 r^2}{G M}$$

JEE Main 2024 (Online) 4th April Morning Shift

MCQ (Single Correct Answer)

-1

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 :

The dimensions of $$\mathrm{nt}$$ is [L]

The dimensions of $$n$$ is $$[\mathrm{LT}^{-1}]$$