Standard XI

Q.

Prepare the trading and profit and loss account and a balance sheet of M/s Shine Ltd. from the following particulars.

$\begin{array}{cccc}\text{Account Title}& \text{Amt.(Rs)}& \text{Account title}& \text{Amt.(Rs)}\\ \text{Sundry Debtors}& 1,00,000& \text{Bills Payable}& 85,550\\ \text{Bad Debts}& 3,000& \text{Sundry Creditors}& 25,000\\ \text{Trade Expenses}& 2,500& \text{Provision for Bad Debts}& 1,500\\ \text{Printing and Stationery}& 5,000& \text{Return Outwards}& 4,500\\ \text{Rent, Rates and Taxes}& 3,450& \text{Capital}& 2,50,000\\ \text{Freight}& 2,250& \text{Discount Received}& 3,500\\ \text{Sales Return}& 6,000& \text{Interest Received}& 11,260\\ \text{Motor Car}& 25,000& \text{Sales}& 1,00,000\\ \text{Opening Stock}& 75,550& & \\ \text{Furniture and Fixture}& 15,500& & \\ \text{Purchase}& 75,000& & \\ \text{Drawings}& 13,560& & \\ \text{Investments}& 65,500& & \\ \text{Cash in Hand}& 36,000& & \\ \text{Cash at Bank}& 53,000& & \\ & \overline{\underset{–}{\underset{–}{4,81,310}}}& & \overline{\underset{–}{\underset{–}{4,81,310}}}\end{array}$

Adjustments

1. Closing stock was valued Rs. 35, 000.

2. Depreciation charged on furniture and fixture @ 5%.

3. Further bad debts Rs. 1, 000. Make a provision for bad debts @ 5% on sundry debtors.

4. Depreciation charged on motor car @ 10%.

5. Interest on drawings @ 6%.

6. Rent, rates and taxes was outstanding Rs. 200.

7. Discount on debtors 2%.

Q. The half-life of a radioactive nuclide is $100$ hours. The fraction of original activity that will remain after $150$ hours would be

1. $\frac{2}{3\sqrt{2}}$
2. $\frac{1}{2}$
3. $\frac{1}{2\sqrt{2}}$
4. $\frac{2}{3}$

Q.

An object 5.0 cm in length is placed at a distance of 20 cm in front of a convex mirror with a radius of curvature of 30 cm. Find the position of the image, its nature, and size.

Q. A series LCR circuit containing $5.0\text{H}$ inductor, $80\mu \text{F}$ capacitor and $40\Omega$ resistor is connected to $230\text{V}$ variable frequency AC source. The angular frequencies of the source at which power transferred to the circuit is half the power at the resonant angular frequency are likely to be -

1. $42\text{rad/s}$ and $58\text{rad/s}$
2. $25\text{rad/s}$ and $75\text{rad/s}$
3. $50\text{rad/s}$ and $25\text{rad/s}$
4. $46\text{rad/s}$ and $54\text{rad/s}$

Q. A car starts from rest and accelerates at $5{\text{m/s}}^2$. At $t=4\text{s}$, a ball is dropped out of a window by a person sitting in the car. What is the velocity and acceleration of the ball at $t=6\text{s}$?

$(g=10{\text{m/s}}^2)$

1. $20\sqrt{2}\text{m/s},10{\text{m/s}}^2$
2. $20\text{m/s},5{\text{m/s}}^2$
3. $20\text{m/s},0{\text{m/s}}^2$
4. $20\sqrt{2}\text{m/s},0{\text{m/s}}^2$

Q. Three resistors having resistances, $r_1,r_2$ and $r_3$ are connected as shown in the given circuit. The ratio $\frac{i_3}{i_1}$ of currents in terms of resistances used in the circuit is -

1. $\frac{r_2}{r_1+r_3}$
2. $\frac{r_1}{r_2+r_3}$
3. $\frac{r_2}{r_2+r_3}$
4. $\frac{r_1}{r_1+r_2}$

Q. Journalise the following transactions, post them into Ledger, balance the accounts and prepare a Trial Balance :−

2017		(₹)
March 1	Shyam Sunder & Sons commenced business with cash	80, 000
2	Purchased goods for cash	36, 000
3	Machinery purchased for cash	4, 000
4	Purchased goods from :
	Raghu	22, 000
	Dilip	30, 000
6	Returned goods to Raghu	4, 000
8	Paid to Raghu, in full settlement of his account	17, 500
10	Sold goods to Mahesh Chand & Co. for ₹ 32, 000 at 5% trade discount
13	Received cash from Mahesh Chand & Co.	19, 800
	Discount allowed	200
15	Paid cash to Dilip	14, 850
	Discount received	150
20	Sold goods for cash	25, 000
24	Sold goods for cash to Sudhir Ltd.	18, 000
25	Paid for Rent	1, 500
26	Received for Commission	2, 000
28	Withdrew by Proprietor for his personal use	5, 000
28	Purchased a fan for Proprietor's house	1, 200

Q. A body is executing simple harmonic motion with frequency $n,$ the frequency of its potential energy is

1. $4n$
2. $n$
3. $2n$
4. $3n$

Q.

Name the four lobes of the cerebral cortex. What functions do they perform?

Q. The molar conductivity of $0.007M$ acetic acid is $20Sc{m}^{2}mo{l}^{–1}$. What is the dissociation constant of acetic acid? Choose the correct option.

$[{\Lambda }_{H^{+}}^{\circ }=350Sc{m}^{2}mo{l}^{-1}{\Lambda }_{C{H}_{3}CO{O}^{-}}^{\circ }=50Sc{m}^{2}mo{l}^{-1}]$

1. $2.50\times {10}^{-5}mol{L}^{-1}$
2. $1.75\times {10}^{-4}mol{L}^{-1}$
3. $2.50\times {10}^{-4}mol{L}^{-1}$
4. $1.75\times {10}^{-5}mol{L}^{-1}$

Q.

The author’s grandmother was a religious person. What are the different ways in which we come to know this?

Q.

Balance the equation: $\mathrm{Ca}{\left(\mathrm{OH}\right)}_2+{\mathrm{CO}}_2\to {\mathrm{CaCO}}_3+{\mathrm{H}}_2\mathrm{O}$

Q.

What is the ploidy of nucellus, MMC, functional megaspore, and female gametophyte?

Q.

Describe the changing relationship between the author and his grandmother. Did their feelings for each other change?

Q. A point object is placed at a distance of $60\text{cm}$ from a convex lens of focal length $30\text{cm}$. If a plane mirror were put perpendicular to the principal axis of the lens and at a distance of $40\text{cm}$ from it, the final image would be formed at a distance of -

1. $20\text{cm}$ from the plane mirror, it would be a virtual image
2. $20\text{cm}$ from the lens, it would be a real image
3. $30\text{cm}$ from the lens, it would be a real image
4. $30\text{cm}$ from the plane mirror, it would be a virtual image

Q.

How do I convert $m/s$ to $km/h$? Give an example

Q.

Identify the wrong statement with regard to Restriction Enzymes.

1. They are useful in genetic engineering.

2. Sticky ends can be joined by using DNA ligases.

3. Each restriction enzyme functions by inspecting the length of a DNA sequence.

4. They cut the strand of DNA at palindromic sites.

Q. A step-down transformer connected to an AC mains supply of $220\text{V}$ is made to operate at $11\text{V},44\text{W}$ lamp. Ignoring power losses in the transformer, what is the current in the primary circuit?

1. $4.0\text{A}$
2. $0.2\text{A}$
3. $0.4\text{A}$
4. $2.0\text{A}$

Q. 32. Write balanced chemical equations of (i) Solutions of barium chloride and sodium sulphate in water react to give insoluble barium sulphate and the solution of sodium chloride. (ii) sodium hydroxide solution ( in water) reacts with hydrochloric acid solution (in water) to produce sodium chloride solution and water.

Q.

A person sitting on the ground floor of a building notices through the window, of height 1.5 m, a ball dropped from the roof of the building and crosses the window in 0.1 s. What is the velocity of the ball when it is at the topmost point of the window? (g-10 m/$s^2$)

(1) 20 m/s

(2) 15.5 m/s

(3) 14.5 m/s

(4) 4.5 m/s

Q.

Explain the law of demand and the reasons behind it.

Q.

Mention three reasons why the author’s grandmother was disturbed when he started going to the city school.

Q.

Calculate the bond order of ${\mathrm{O}}_2$.

Q. A particle of mass $m$ is projected with a velocity $v=k{v}_e(k<1)$ from the surface of the earth. $(v_e=$ escape velocity$)$. The maximum height above the surface reached by the particle is -

$R$ is the radius of earth.

1. $\frac{R{k}^2}{1-k^2}$
2. $R{\left(\frac{k}{1-k}\right)}^2$
3. $R{\left(\frac{k}{1+k}\right)}^2$
4. $\frac{R^{2}k}{1+k}$

Q. What is the relation between mole fraction and molality?

Q.

What is the value of $\cos 15°$?

Q.

The www.olx.in, www.quickr.com etc are examples of websites used to conduct business. Deepa's sofa set got spoiled in rain. Her friend suggested that she should change the fabric so that it looks new and put it for sale on www.olx.com Deepa followed her friend's advice and got her sofa repaired so that it looks better and uploaded nicely clicked pictures on www.olx.com in without disclosing the fact that it was damaged from inside. She found a customer and sold it for Rs. 9, 000. After one week the buyer found the real state of sofa set and called Deepa but she did not answer any of the calls.

(i) Name the type of business in above case.

(ii) Which values did Deepa ignore while selling her sofa set?

(iii) Explain two advantages and disadvantages of e-commerce

Q. Find the total number of electrons present in $1.6\text{g}$ of $C{H}_4$.

1. $6.023\times {10}^{23}$ electrons
2. $6.023\times {10}^{20}$ electrons
3. 10 electrons
4. 1 electron

Q.

Would you agree that the author’s grandmother was a person strong in character? If yes, give instances that show this.

Q.

What is the value of $\cos 75°$?