Mirror is moving towards the particles (negative$$ $$x-axis) with speed $$2cm/$$$$sec$$. Particles A and B are moving with speeds of $$102$$ $$cm/$$$$sec$$ and $$5$$ $$cm/$$$$sec$$ respectively in the direction shown in figure. Magnitude of velocity of image of the particle B with respect to image of A is

Question

Mirror is moving towards the particles (negative$$  $$x-axis) with speed  $$2cm/$$$$sec$$. Particles A and B are moving with speeds of $$102$$ $$cm/$$$$sec$$ and $$5$$ $$cm/$$$$sec$$ respectively in the direction shown in figure. Magnitude of velocity of image of the particle B with respect to image of A is

Infinity Learn · Accepted Answer

Velocity of image normal to the plane of mirror is  $$Vi=2Vm$$−VobjectVelocity of image parallel to the plane of mirror is  $$Vi=VobjectVelocity$$ of particle image B ,  $$VBi=2-2i^-$$−$$5i^=i^Velocity$$ of particle A is  $$=102cos45$$∘$$i^+102sin45$$∘$$j^Velocity$$ of image of particle A perpendicular to the mirror,  $$VAix=2-2i^-10i^=14$$−$$i^Velocity$$ of image of particle A parallel to $$mirrorVAiy=10j^$$∴$$VAi=$$−$$14i^+10j^Relative$$ velocity of image  $$VBAi=VBi$$−$$VAi=i^$$−$$14$$−$$i^+10j^=15i^$$−$$10j^$$∴$$VBAi=152+102=325cm/secTherefore$$, the correct answer is  $$18.03$$

Mirror is moving towards the particles (negative x-axis) with speed 2cm/sec. Particles A and B are moving with speeds of 102 cm/sec and 5 cm/sec respectively in the direction shown in figure. Magnitude of velocity of image of the particle B with respect to image of A is

Start JEE / NEET / Foundation preparation at rupees 99/day !!

Detailed Solution

Get Expert Academic Guidance – Connect with a Counselor Today!