1.

Out of the following options, select the word that is correctly spelt:

• COMRADERIE
• CAMARADERIE
• CAMEREDERIE
• CAMAREDERIE

2.

What will be the separation between the coherent sources formed by a bi-prism whose inclined faces makes an angle of 2° with its base, the slit source being 0.10 m away from the bi-prism (Given μ = 1.5)?

• 1.5 mm
• 2.5 mm
• 3.5 mm
• 4.5 mm

3.

The general solution of the differential equation y"+y = 6sin x is:

• y(x) = C₁e^x + C₂e^-x + 3x cosx
• y(x) = C₁e^x + C₂e^-x - 3x cosx
• y(x) = C₁cosx + C₂ sinx - 3sinx
• y(x) = C₁cosx + C₂ sinx - 3x cosx

4.

Identify the water - image of the combination
"96FSH52"

5.

If the curl of vector \(\vec{A} = (2xy-3yz)\hat{i} +(x^2+axz −4z^2)\hat{j}-(3xy+byz)\hat{k}\) is zero, then a + b is equal to :

• 8
• -3
• 5
• 11

6.

Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R:
Assertion A: India, that is Bharat shall be Union of States.
Reason R: States have right to recede.
In the light of the above statements, choose the most appropriate answer from the options given below:

• Both A and R are correct and R is the correct explanation of A
• Both A and R are correct and R is NOT the correct explanation of A
• A is correct but R is not correct
• A is not correct but R is correct