A rigid body rotates about an axis through the origin with an angular velocity rad/s

PHYSICS · Single correct · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

A rigid body rotates about an axis through the origin with an angular velocity 10310\sqrt{3} rad/s. If ω\omega points in the direction of i^+j^+k^\hat{i} + \hat{j} + \hat{k} , then the equation to the locus of the points having tangential speed 20 m/s is (1) x2+y2+z2−xy−yz−zx−1=0x^2 + y^2 + z^2 - xy - yz - zx - 1 = 0 (2) x2+y2+z2−2xy−2yz−2zx−1=0x^2 + y^2 + z^2 - 2xy - 2yz - 2zx - 1 = 0 (3) x2+y2+z2−xy−yz−zx−2=0x^2 + y^2 + z^2 - xy - yz - zx - 2 = 0 (4) x2+y2+z2−2xy−2yz−2zx−2=0x^2 + y^2 + z^2 - 2xy - 2yz - 2zx - 2 = 0

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