361973
Two projectiles are projected at \(30^{\circ}\) and \(60^{\circ}\) with the horizontal with the same speed. The ratio of the maximum height attained by the two projectiles respectively is
1 \(2: \sqrt{3}\)
2 \(1: 3\)
3 \(1: \sqrt{3}\)
4 \(\sqrt{3}: 1\)
Explanation:
Maximum height attained by projectile, \(H_{\max }=\dfrac{u^{2} \sin ^{2} \theta}{2 g}\) \(\dfrac{H_{1}}{H_{2}}=\dfrac{\sin ^{2} \theta_{1}}{\sin ^{2} \theta_{2}}=\dfrac{\sin ^{2} 30^{\circ}}{\sin ^{2} 60^{\circ}}=\dfrac{1}{3}\)
JEE - 2023
PHXI04:MOTION IN A PLANE
361974
A ball thrown by one player reaches the other in 2sec. The maximum height attained by the ball above the point of projection will be about-
361975
A ball is thrown from the ground to clear a wall 3 \(m\) high at a distance of 6 \(m\) and falls 18 \(m\) away from the wall, the angle of projection of ball is
361977
A projectile is fired at an angle of \(45^\circ \) with the horizontal. Elevation angle of the projectile at its highest point as seen from the point of projection is
361973
Two projectiles are projected at \(30^{\circ}\) and \(60^{\circ}\) with the horizontal with the same speed. The ratio of the maximum height attained by the two projectiles respectively is
1 \(2: \sqrt{3}\)
2 \(1: 3\)
3 \(1: \sqrt{3}\)
4 \(\sqrt{3}: 1\)
Explanation:
Maximum height attained by projectile, \(H_{\max }=\dfrac{u^{2} \sin ^{2} \theta}{2 g}\) \(\dfrac{H_{1}}{H_{2}}=\dfrac{\sin ^{2} \theta_{1}}{\sin ^{2} \theta_{2}}=\dfrac{\sin ^{2} 30^{\circ}}{\sin ^{2} 60^{\circ}}=\dfrac{1}{3}\)
JEE - 2023
PHXI04:MOTION IN A PLANE
361974
A ball thrown by one player reaches the other in 2sec. The maximum height attained by the ball above the point of projection will be about-
361975
A ball is thrown from the ground to clear a wall 3 \(m\) high at a distance of 6 \(m\) and falls 18 \(m\) away from the wall, the angle of projection of ball is
361977
A projectile is fired at an angle of \(45^\circ \) with the horizontal. Elevation angle of the projectile at its highest point as seen from the point of projection is
361973
Two projectiles are projected at \(30^{\circ}\) and \(60^{\circ}\) with the horizontal with the same speed. The ratio of the maximum height attained by the two projectiles respectively is
1 \(2: \sqrt{3}\)
2 \(1: 3\)
3 \(1: \sqrt{3}\)
4 \(\sqrt{3}: 1\)
Explanation:
Maximum height attained by projectile, \(H_{\max }=\dfrac{u^{2} \sin ^{2} \theta}{2 g}\) \(\dfrac{H_{1}}{H_{2}}=\dfrac{\sin ^{2} \theta_{1}}{\sin ^{2} \theta_{2}}=\dfrac{\sin ^{2} 30^{\circ}}{\sin ^{2} 60^{\circ}}=\dfrac{1}{3}\)
JEE - 2023
PHXI04:MOTION IN A PLANE
361974
A ball thrown by one player reaches the other in 2sec. The maximum height attained by the ball above the point of projection will be about-
361975
A ball is thrown from the ground to clear a wall 3 \(m\) high at a distance of 6 \(m\) and falls 18 \(m\) away from the wall, the angle of projection of ball is
361977
A projectile is fired at an angle of \(45^\circ \) with the horizontal. Elevation angle of the projectile at its highest point as seen from the point of projection is
361973
Two projectiles are projected at \(30^{\circ}\) and \(60^{\circ}\) with the horizontal with the same speed. The ratio of the maximum height attained by the two projectiles respectively is
1 \(2: \sqrt{3}\)
2 \(1: 3\)
3 \(1: \sqrt{3}\)
4 \(\sqrt{3}: 1\)
Explanation:
Maximum height attained by projectile, \(H_{\max }=\dfrac{u^{2} \sin ^{2} \theta}{2 g}\) \(\dfrac{H_{1}}{H_{2}}=\dfrac{\sin ^{2} \theta_{1}}{\sin ^{2} \theta_{2}}=\dfrac{\sin ^{2} 30^{\circ}}{\sin ^{2} 60^{\circ}}=\dfrac{1}{3}\)
JEE - 2023
PHXI04:MOTION IN A PLANE
361974
A ball thrown by one player reaches the other in 2sec. The maximum height attained by the ball above the point of projection will be about-
361975
A ball is thrown from the ground to clear a wall 3 \(m\) high at a distance of 6 \(m\) and falls 18 \(m\) away from the wall, the angle of projection of ball is
361977
A projectile is fired at an angle of \(45^\circ \) with the horizontal. Elevation angle of the projectile at its highest point as seen from the point of projection is
361973
Two projectiles are projected at \(30^{\circ}\) and \(60^{\circ}\) with the horizontal with the same speed. The ratio of the maximum height attained by the two projectiles respectively is
1 \(2: \sqrt{3}\)
2 \(1: 3\)
3 \(1: \sqrt{3}\)
4 \(\sqrt{3}: 1\)
Explanation:
Maximum height attained by projectile, \(H_{\max }=\dfrac{u^{2} \sin ^{2} \theta}{2 g}\) \(\dfrac{H_{1}}{H_{2}}=\dfrac{\sin ^{2} \theta_{1}}{\sin ^{2} \theta_{2}}=\dfrac{\sin ^{2} 30^{\circ}}{\sin ^{2} 60^{\circ}}=\dfrac{1}{3}\)
JEE - 2023
PHXI04:MOTION IN A PLANE
361974
A ball thrown by one player reaches the other in 2sec. The maximum height attained by the ball above the point of projection will be about-
361975
A ball is thrown from the ground to clear a wall 3 \(m\) high at a distance of 6 \(m\) and falls 18 \(m\) away from the wall, the angle of projection of ball is
361977
A projectile is fired at an angle of \(45^\circ \) with the horizontal. Elevation angle of the projectile at its highest point as seen from the point of projection is
