In the context of the Keynesian concept of a multiplier, a \(\$\)1 increase in government spending financed by a \(\$\)1 increase in taxes will cause equilibrium income to:
Increased by $1
Decrease by $1
Step 1: Understanding the Keynesian multiplier.
The Keynesian multiplier effect refers to the change in equilibrium income resulting from an initial change in government spending or taxes. When government spending increases, it boosts aggregate demand, but an increase in taxes can reduce consumption.
Step 2: Analysis of options.
- (A) Unchanged: This is incorrect. The equilibrium income will change due to the tax and spending changes.
- (B) Increased by \(\$\)1: This is incorrect. The change in income depends on the marginal propensity to consume.
- (C) To change depending on the value of the marginal propensity to consume: This is correct. The multiplier effect depends on how much of the income is consumed (marginal propensity to consume).
- (D) Decrease by \(\$\)1: This is incorrect. The effect is not a direct \(\$\)1 decrease, but depends on the consumption behavior.
Step 3: Conclusion.
The correct answer is (C), as the equilibrium income change depends on the marginal propensity to consume.
Which of the following statements are correct about the IS curve?
(A) It shows the combination of the interest rate and the level of income such that the money market is in equilibrium.
(B) It is negatively sloped.
(C) The smaller the multiplier and the more sensitive investment spending is to changes in the interest rate, the steeper the IS curve.
(D) An increase in government purchases shifts the IS curve to the right.
Choose the correct answer from the options given below:
A weight of $500\,$N is held on a smooth plane inclined at $30^\circ$ to the horizontal by a force $P$ acting at $30^\circ$ to the inclined plane as shown. Then the value of force $P$ is:
A steel wire of $20$ mm diameter is bent into a circular shape of $10$ m radius. If modulus of elasticity of wire is $2\times10^{5}\ \text{N/mm}^2$, then the maximum bending stress induced in wire is: