Question

An aeroplane is flying from city $A$ to city $B$ along path $1$ . The path $1$ is a circular arc whose centre coincides with the centre of the earth. Another aeroplane is flying along path $2$ from $A$ to $B$ . The path $2$ is circular arc whose centre is at $C$ . $O$ is the centre of the earth. Then,

• A. The distance travelled by $1^{st}$ aeroplane is greater than that of $2^{nd}$ aeroplane
• B. The distance travelled by $1^{st}$ aeroplane is less than that of $2^{nd}$ aeroplane
• C. The displacement of both aeroplane is different
• D. None of these

Answer 1

Answer: (B)

The distance travelled by $1^{st}$ aeroplane is less than that of $2^{nd}$ aeroplane

Answer 2

Let $l_1 =$ distance travelled by aeroplane $1$ along path $1$ $l_2 =$ distance travelled by aeroplane $2$ along path $2$ Let $OC=\frac{R}{2}$