JEE Main 2024 (Online) 6th April Morning Shift | Units & Measurements Question 11 | Physics

To find the spring constant $$(k)$$ of a spring experimentally, a student commits $$2 \%$$ positive error in the measurement of time and $$1 \%$$ negative error in measurement of mass. The percentage error in determining value of $$k$$ is :

JEE Main 2024 (Online) 6th April Morning Shift

MCQ (Single Correct Answer)

-1

Match List I with List II

	LIST I		LIST II
A.	Torque	I.	$$ \left[M^1 L^1 T^{-2} A^{-2}\right] $$
B.	Magnetic field	II.	$$ \left[L^2 A^1\right] $$
C.	Magnetic moment	III.	$$ \left[M^1 T^{-2} A^{-1}\right] $$
D.	Permeability of free space	IV.	$$ \left[M^1 L^2 T^{-2}\right] $$

Choose the correct answer from the options given below:

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

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

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

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

JEE Main 2024 (Online) 6th April Morning Shift

MCQ (Single Correct Answer)

-1

While measuring diameter of wire using screw gauge the following readings were noted. Main scale reading is $$1 \mathrm{~mm}$$ and circular scale reading is equal to 42 divisions. Pitch of screw gauge is $$1 \mathrm{~mm}$$ and it has 100 divisions on circular scale. The diameter of the wire is $$\frac{x}{50} \mathrm{~mm}$$. The value of $$x$$ is :

142

JEE Main 2024 (Online) 5th April Evening Shift

MCQ (Single Correct Answer)

-1

What is the dimensional formula of $$a b^{-1}$$ in the equation $$\left(\mathrm{P}+\frac{\mathrm{a}}{\mathrm{V}^2}\right)(\mathrm{V}-\mathrm{b})=\mathrm{RT}$$, where letters have their usual meaning.

$$[\mathrm{M}^6 \mathrm{~L}^7 \mathrm{~T}^4]$$

$$[\mathrm{M}^{-1} \mathrm{~L}^5 \mathrm{~T}^3]$$

$$[\mathrm{M}^0 \mathrm{~L}^3 \mathrm{~T}^{-2}]$$

$$[\mathrm{ML}^2 \mathrm{~T}^{-2}]$$

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