A square plate has three circular holes of same radius so that centre of each hole is equidistant from the centre of the square plate. A triangle A B C can be formed by joining the centres of the holes as shown in the figure. The plate is placed on a frictionless horizontal surface. If we increase the temperature, then

Question

A square plate has three circular holes of same radius so that centre of each hole is equidistant from the centre of the square plate. A triangle A B C can be formed by joining the centres of the holes as shown in the figure. The plate is placed on a frictionless horizontal surface. If we increase the temperature, then (A) each side of the triangle will increase and the angle θ will remain same (B) each side of the triangle will remain same and the angle θ will increase (C) sides of the triangle as well as θ will increase (D) sides of the triangle as well as θ will remain same

Tardigrade Admin · Accepted Answer

Distance of centre of each hole from the centre of mass of the plate increase. Also the shown triangle is equilateral and each side increases by same fraction and thus angle θ remains constant (=60°)

each side of the triangle will increase and the angle $θ$ will remain same

each side of the triangle will remain same and the angle $θ$ will increase

sides of the triangle as well as $θ$ will increase

sides of the triangle as well as $θ$ will remain same

Distance of centre of each hole from the centre of mass of the plate increase. Also the shown triangle is equilateral and each side increases by same fraction and thus angle $θ$ remains constant $(= 6 0^{\circ})$

each side of the triangle will increase and the angle θ will remain same

each side of the triangle will remain same and the angle θ will increase

sides of the triangle as well as θ will increase

sides of the triangle as well as θ will remain same

Distance of centre of each hole from the centre of mass of the plate increase. Also the shown triangle is equilateral and each side increases by same fraction and thus angle θ remains constant (=60∘)

each side of the triangle will increase and the angle $θ$ will remain same

each side of the triangle will remain same and the angle $θ$ will increase

sides of the triangle as well as $θ$ will increase

sides of the triangle as well as $θ$ will remain same

Distance of centre of each hole from the centre of mass of the plate increase. Also the shown triangle is equilateral and each side increases by same fraction and thus angle $θ$ remains constant $(= 6 0^{\circ})$