The earth moves around the sun in an elliptical orbit (as shown in figure). The ratio ( OA / OB )= x. The ratio of the speed of the earth at B to that at A is found to be x N . The value of N is.

Question

The earth moves around the sun in an elliptical orbit (as shown in figure). The ratio ( OA / OB )= x. The ratio of the speed of the earth at B to that at A is found to be x N . The value of N is. (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

Applying conservation of angular momentum at position A and B, mv A × OA = mv B × OB ⇒ ( v B / v A )=( OA / OB )= x ⇒ x N = x ⇒ N =1.00

Q. The earth moves around the sun in an elliptical orbit (as shown in figure). The ratio $\frac{O A}{OB} = x$ . The ratio of the speed of the earth at $B$ to that at $A$ is found to be $x^{N}$ . The value of $N$ is_______.

Applying conservation of angular momentum at position $A$ and $B$ ,
$m v_{A} \times O A = m v_{B} \times OB$
$\Rightarrow \frac{v _{B}}{v _{A}} = \frac{O A}{OB} = x$
$\Rightarrow x^{N} = x$
$\Rightarrow N = 1.00$

Q. The earth moves around the sun in an elliptical orbit (as shown in figure). The ratio OBOA​=x. The ratio of the speed of the earth at B to that at A is found to be xN. The value of N is_______.

Applying conservation of angular momentum at position A and B, mvA​×OA=mvB​×OB ⇒vA​vB​​=OBOA​=x ⇒xN=x ⇒N=1.00

Q. The earth moves around the sun in an elliptical orbit (as shown in figure). The ratio $\frac{O A}{OB} = x$ . The ratio of the speed of the earth at $B$ to that at $A$ is found to be $x^{N}$ . The value of $N$ is_______.

Applying conservation of angular momentum at position $A$ and $B$ ,
$m v_{A} \times O A = m v_{B} \times OB$
$\Rightarrow \frac{v _{B}}{v _{A}} = \frac{O A}{OB} = x$
$\Rightarrow x^{N} = x$
$\Rightarrow N = 1.00$