1
JEE Main 2022 (Online) 26th July Evening Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language

Mass numbers of two nuclei are in the ratio of $$4: 3$$. Their nuclear densities will be in the ratio of

A
4 : 3
B
$$\left(\frac{3}{4}\right)^{\frac{1}{3}}$$
C
1 : 1
D
$$\left(\frac{4}{3}\right)^{\frac{1}{3}}$$
2
JEE Main 2022 (Online) 26th July Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The area of cross section of the rope used to lift a load by a crane is $$2.5 \times 10^{-4} \mathrm{~m}^{2}$$. The maximum lifting capacity of the crane is 10 metric tons. To increase the lifting capacity of the crane to 25 metric tons, the required area of cross section of the rope should be :

(take $$g=10 \,m s^{-2}$$ )

A
$$6.25\times 10^{-4} \mathrm{~m}^{2}$$
B
$$10\times 10^{-4} \mathrm{~m}^{2}$$
C
$$1\times 10^{-4} \mathrm{~m}^{2}$$
D
$$1.67\times 10^{-4} \mathrm{~m}^{2}$$
3
JEE Main 2022 (Online) 26th July Evening Shift
Numerical
+4
-1
Change Language

If $$\vec{A}=(2 \hat{i}+3 \hat{j}-\hat{k})\, \mathrm{m}$$ and $$\vec{B}=(\hat{i}+2 \hat{j}+2 \hat{k}) \,\mathrm{m}$$. The magnitude of component of vector $$\vec{A}$$ along vector $$\vec{B}$$ will be ____________ $$\mathrm{m}$$.

Your input ____
4
JEE Main 2022 (Online) 26th July Evening Shift
Numerical
+4
-1
Change Language

The radius of gyration of a cylindrical rod about an axis of rotation perpendicular to its length and passing through the center will be ___________ $$\mathrm{m}$$.

Given, the length of the rod is $$10 \sqrt{3} \mathrm{~m}$$.

Your input ____
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