1
JEE Main 2023 (Online) 30th January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Match List I with List II:

List I List II
A. Torque I. $\mathrm{kg} \mathrm{m}^{-1} \mathrm{~s}^{-2}$
B. Energy density II. $\mathrm{kg} \,\mathrm{ms}^{-1}$
C. Pressure gradient III. $\mathrm{kg}\, \mathrm{m}^{-2} \mathrm{~s}^{-2}$
D. Impulse IV. $\mathrm{kg} \,\mathrm{m}^{2} \mathrm{~s}^{-2}$

Choose the correct answer from the options given below:

A
A-IV, B-I, C-III, D-II
B
A-IV, B-I, C-II, D-III
C
A-I, B-IV, C-III, D-II
D
A-IV, B-III, C-I, D-II
2
JEE Main 2023 (Online) 30th January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
An object is allowed to fall from a height $R$ above the earth, where $R$ is the radius of earth. Its velocity when it strikes the earth's surface, ignoring air resistance, will be
A
$\sqrt{\frac{g R}{2}}$
B
$\sqrt{g R}$
C
$\sqrt{2 g R}$
D
$2 \sqrt{g R}$
3
JEE Main 2023 (Online) 30th January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
A force is applied to a steel wire 'A', rigidly clamped at one end. As a result elongation in the wire is $0.2 \mathrm{~mm}$. If same force is applied to another steel wire ' $\mathrm{B}$ ' of double the length and a diameter $2.4$ times that of the wire ' $\mathrm{A}$ ', the elongation in the wire ' $\mathrm{B}$ ' will be (wires having uniform circular cross sections)
A
$6 .9 \times 10^{-2} \mathrm{~mm}$
B
$6.06 \times 10^{-2} \mathrm{~mm}$
C
$2.77 \times 10^{-2} \mathrm{~mm}$
D
$3.0 \times 10^{-2} \mathrm{~mm}$
4
JEE Main 2023 (Online) 30th January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
An electron accelerated through a potential difference $V_{1}$ has a de-Broglie wavelength of $\lambda$. When the potential is changed to $V_{2}$, its de-Broglie wavelength increases by $50 \%$. The value of $\left(\frac{V_{1}}{V_{2}}\right)$ is equal to
A
$\frac{3}{2}$
B
4
C
3
D
$\frac{9}{4}$
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