1
JEE Main 2022 (Online) 26th July Evening Shift
MCQ (Single Correct Answer)
+4
-1
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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
$$1.67\times 10^{-4} \mathrm{~m}^{2}$$
2
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 ____________ $$\mathrm{m}$$.

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3
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 $$10 \sqrt{3} \mathrm{~m}$$.

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

In the given figure, the face $$A C$$ of the equilateral prism is immersed in a liquid of refractive index '$$n$$'. For incident angle $$60^{\circ}$$ at the side $$A C$$, the refractive light beam just grazes along face $$A C$$. The refractive index of the liquid $$n=\frac{\sqrt{x}}{4}$$. The value of $$x$$ is ____________.

(Given refractive index of glass $$=1.5$$ )

JEE Main 2022 (Online) 26th July Evening Shift Physics - Geometrical Optics Question 55 English

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