1
NEET 2024 (Re-Examination)
+4
-1

The radius of gyration of a solid sphere of mass $$5 \mathrm{~kg}$$ about $$X Y$$ is $$5 \mathrm{~m}$$ as shown in figure. The radius of the sphere is $$\frac{5 x}{\sqrt{7}} \mathrm{~m}$$, then the value of $x$ is:

A
5
B
$$\sqrt2$$
C
$$\sqrt3$$
D
$$\sqrt5$$
2
NEET 2024
+4
-1

A bob is whirled in a horizontal plane by means of a string with an initial speed of $$\omega \mathrm{~rpm}$$. The tension in the string is $$T$$. If speed becomes $$2 \omega$$ while keeping the same radius, the tension in the string becomes:

A
$$T$$
B
$$4 T$$
C
$$\frac{T}{4}$$
D
$$\sqrt{2} T$$
3
NEET 2024
+4
-1

The moment of inertia of a thin rod about an axis passing through its mid point and perpendicular to the rod is $$2400 \mathrm{~g} \mathrm{~cm}^2$$. The length of the $$400 \mathrm{~g}$$ rod is nearly:

A
8.5 cm
B
17.5 cm
C
20.7 cm
D
72.0 cm
4
NEET 2024
+4
-1

A wheel of a bullock cart is rolling on a level road as shown in the figure below. If its linear speed is $$v$$ in the direction shown, which one of the following options is correct ($$P$$ and $$Q$$ are any highest and lowest points on the wheel, respectively)?

A
Point $$P$$ moves slower than point $$Q$$
B
Point $$P$$ moves faster than point $$Q$$
C
Both the points $$P$$ and $$Q$$ move with equal speed
D
Point $$P$$ has zero speed
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