141957 When an object is shot from the bottom of a long smooth inclined plane kept at an angle \(60^{\circ}\) with horizontal, it can travel a distance \(x_{1}\) along the plane. But when the inclination is decreased to \(30^{\circ}\) and the same object is shot with the same velocity, it can travel \(x_{2}\) distance. Then \(x_{1}: x_{2}\) will be

141958 A ball is released from rest and rolls down an inclined plane, as shown in the following figure, requiring \(4 \mathrm{~s}\) to cover a distance of \(100 \mathrm{~cm}\) along the plane:

Which one of the following is the correct value of angle \(\theta\) that the plane makes with the horizontal? \(\left(\mathrm{g}=1000 \mathrm{~cm} / \mathrm{s}^{2}\right)\)

141959 An object is placed at the top of a frictionless hemispherical metallic surface of radius \(3 \mathrm{~m}\). If the object is just disturbed, it will slide down and leaves the hemispherical surface at a height of

141960 Two masses \(M_{1}\) and \(M_{2}\) are attached to the ends of a string which passes over a pulley attached to the top of an inclined plane. The angle of inclination of the plane is \(30^{\circ}\) and \(M_{1}=10 \mathrm{~kg}\), \(M_{2}=5 \mathrm{~kg}\). What is the acceleration of mass \(M_{2}\) ?

141957 When an object is shot from the bottom of a long smooth inclined plane kept at an angle \(60^{\circ}\) with horizontal, it can travel a distance \(x_{1}\) along the plane. But when the inclination is decreased to \(30^{\circ}\) and the same object is shot with the same velocity, it can travel \(x_{2}\) distance. Then \(x_{1}: x_{2}\) will be

141958 A ball is released from rest and rolls down an inclined plane, as shown in the following figure, requiring \(4 \mathrm{~s}\) to cover a distance of \(100 \mathrm{~cm}\) along the plane:

Which one of the following is the correct value of angle \(\theta\) that the plane makes with the horizontal? \(\left(\mathrm{g}=1000 \mathrm{~cm} / \mathrm{s}^{2}\right)\)

141959 An object is placed at the top of a frictionless hemispherical metallic surface of radius \(3 \mathrm{~m}\). If the object is just disturbed, it will slide down and leaves the hemispherical surface at a height of

141960 Two masses \(M_{1}\) and \(M_{2}\) are attached to the ends of a string which passes over a pulley attached to the top of an inclined plane. The angle of inclination of the plane is \(30^{\circ}\) and \(M_{1}=10 \mathrm{~kg}\), \(M_{2}=5 \mathrm{~kg}\). What is the acceleration of mass \(M_{2}\) ?

141957 When an object is shot from the bottom of a long smooth inclined plane kept at an angle \(60^{\circ}\) with horizontal, it can travel a distance \(x_{1}\) along the plane. But when the inclination is decreased to \(30^{\circ}\) and the same object is shot with the same velocity, it can travel \(x_{2}\) distance. Then \(x_{1}: x_{2}\) will be

141958 A ball is released from rest and rolls down an inclined plane, as shown in the following figure, requiring \(4 \mathrm{~s}\) to cover a distance of \(100 \mathrm{~cm}\) along the plane:

Which one of the following is the correct value of angle \(\theta\) that the plane makes with the horizontal? \(\left(\mathrm{g}=1000 \mathrm{~cm} / \mathrm{s}^{2}\right)\)

141959 An object is placed at the top of a frictionless hemispherical metallic surface of radius \(3 \mathrm{~m}\). If the object is just disturbed, it will slide down and leaves the hemispherical surface at a height of

141960 Two masses \(M_{1}\) and \(M_{2}\) are attached to the ends of a string which passes over a pulley attached to the top of an inclined plane. The angle of inclination of the plane is \(30^{\circ}\) and \(M_{1}=10 \mathrm{~kg}\), \(M_{2}=5 \mathrm{~kg}\). What is the acceleration of mass \(M_{2}\) ?

141957 When an object is shot from the bottom of a long smooth inclined plane kept at an angle \(60^{\circ}\) with horizontal, it can travel a distance \(x_{1}\) along the plane. But when the inclination is decreased to \(30^{\circ}\) and the same object is shot with the same velocity, it can travel \(x_{2}\) distance. Then \(x_{1}: x_{2}\) will be

141958 A ball is released from rest and rolls down an inclined plane, as shown in the following figure, requiring \(4 \mathrm{~s}\) to cover a distance of \(100 \mathrm{~cm}\) along the plane:

Which one of the following is the correct value of angle \(\theta\) that the plane makes with the horizontal? \(\left(\mathrm{g}=1000 \mathrm{~cm} / \mathrm{s}^{2}\right)\)

141959 An object is placed at the top of a frictionless hemispherical metallic surface of radius \(3 \mathrm{~m}\). If the object is just disturbed, it will slide down and leaves the hemispherical surface at a height of

141960 Two masses \(M_{1}\) and \(M_{2}\) are attached to the ends of a string which passes over a pulley attached to the top of an inclined plane. The angle of inclination of the plane is \(30^{\circ}\) and \(M_{1}=10 \mathrm{~kg}\), \(M_{2}=5 \mathrm{~kg}\). What is the acceleration of mass \(M_{2}\) ?