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1.

Column I shows four systems, each of the same length L, for producing standing waves. The lowest possible natural frequency of a system is called its fundamental frequency, whose wavelength is denoted as $\lambda_{f}$ . Match each system with statements given in Column II describing the nature and wavelength of the standing waves.

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A) (A) $\rightarrow$ (p,t), (B) $\rightarrow$ (p,s),(C) $\rightarrow$ (q,s),(D) $\rightarrow$ (q,r)

B) (A) $\rightarrow$ (p,s), (B) $\rightarrow$ (p,t),(C) $\rightarrow$ (q,s),(D) $\rightarrow$ (q,r)

C) (A) $\rightarrow$ (p,s), (B) $\rightarrow$ (p,s),(C) $\rightarrow$ (q,s),(D) $\rightarrow$ (p,t)

D) (A) $\rightarrow$ (q,t), (B) $\rightarrow$ (p,s),(C) $\rightarrow$ (q,t),(D) $\rightarrow$ (q,r)



2.

One mole of a monatomic ideal gas is taken through a cycle ABCDA as shown in the p-V diagram. column II gives the characteristics involved in the cycle. Match them with each of the processes given in Column I

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A) $(A) \rightarrow p,r,t ; (B) \rightarrow p,t;(C) \rightarrow q.s;(D) \rightarrow r$

B) $(A) \rightarrow p,r,s ; (B) \rightarrow p,r;(C) \rightarrow q.s;(D) \rightarrow r$

C) $(A) \rightarrow p,r,t ; (B) \rightarrow p,r;(C) \rightarrow q.s;(D) \rightarrow p$

D) $(A) \rightarrow p,r,t ; (B) \rightarrow p,r;(C) \rightarrow q.s;(D) \rightarrow r,t$



3.

A silver sphere of radius 1 cm and work function 4.7 eV is suspended from an insulating thread in free-space. It is under continuous illumination of 200 nm wavelentth light. As phottelectrons are emitted, the sphere gets charged and acquires a potential. The maximum number of photoelectrons emitted from the sphere  is $A \times 10^{z}$

(where 1< A < 10). The value of Z is 


A) 6

B) 5

C) 4

D) 7



4.

A block of mass 0.18 kg is attached to a spring of force constant 2 N/m. The coefficient of friction between the block and the floor is 0.1. Initially, the block is at rest and the spring is unstretched. An impulse is given to the block as shown in the figure The block slides a distance of 0.06 m and comes to rest for the first time. The initial velocity of the block in m/s is, V=$\frac{N}{10}$. Then, N is

29112021124_f9.PNG


A) 4

B) 5

C) 3

D) 6



5.

Water (with refractive index =$\frac{4}{3}$) in a tank is 18 cm deep. Oil of refractive index  $\frac{7}{4}$  lies on the water making a convex surface of radius of curvature R = 6 cm as shown. Consider oil to act as a thin lens. An object S is placed 24 cm above the water surface. The location of its image is at x cm above the bottom of the tank. Then, x is

29112021982_f8.PNG


A) 4

B) 2

C) 3

D) 1



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