List of top Geophysics Questions on Mechanics

Expansion of following functions are given below:
A. \[ \sin x=x-\frac{x^3}{3!}+\frac{x^5}{5!}-\cdots \]
B. \[ \cos x=1-\frac{x^2}{2!}+\frac{x^4}{4!}-\cdots \]
C. \[ \sin x=1-\frac{x^2}{2!}+\frac{x^4}{4!}-\cdots \]
D. \[ \cos x=x-\frac{x^3}{3!}+\frac{x^5}{5!}-\cdots \] Choose the correct answer from the options given below:

Match List-I with List-II. List-I:
A. \(\nabla\times\vec{r}\),
B. \(\operatorname{Div}(2x^2z\hat{i}-xy^2z\hat{j}+3yz^2\hat{k})\) at point \((1,1,1)\),
C. Curl of a vector is a,
D. Divergence of a vector is
A. List-II: I. Vector quantity, II. \(0\), III. Scalar quantity, IV. \(8\).

Which of the following quantity is not conserved in inelastic collision?

Which of the following is invariant under Galilean Transformation?
A. Velocity,
B. Linear Momentum,
C. Acceleration,
D. Length, E. Force. Choose the correct answer from the options given below:

Two projectiles are subject to the same acceleration. Motion of one projectile as seen from another projectile will always be a:

A moving particle has coordinates (5t + 3, 6t, 5)m in frame S at any time 't'. The frame s' is moving with velocity (3\(\hat{i}\)+4\(\hat{j}\))m/s with respect to the frame S. Velocity of particle in frame s' is:

In a perfectly elastic collision if m₁ and m₂ be the masses and v₁ and v₂ be the velocities of two colliding particles. Then velocity after the collision, if particles stick together will be: