To convert kilowatt-hour (kWh) to Joules (J), we need to understand the definitions of these units. Kilowatt-hour is a unit of energy, commonly used for electricity consumption, while Joule is the standard international unit (SI unit) of energy. We will break down kWh into its base units and then convert them to Joules.
\[1 \text{ kWh} = 1 \text{ kilowatt} \times 1 \text{ hour}\]
\[1 \text{ kWh} = 1000 \text{ W} \times 1 \text{ h}\]
We know that \(1 \text{ W} = 1 \text{ J/s}\) and \(1 \text{ h} = 3600 \text{ s}\).
Substitute these values into the equation:
\[1 \text{ kWh} = 1000 \left( \frac{\text{J}}{\text{s}} \right) \times 3600 \text{ s}\]
\[1 \text{ kWh} = 1000 \times 3600 \text{ J}\]
\[1 \text{ kWh} = 3,600,000 \text{ J}\]
Correct Option: D) 3600000 J
The following pie diagram shows the sales of different types of food items in a restaurant XYZ
The total revenue made by the restaurant in Nov 2017 was 35 lakhs
How much revenue was made by restaurant XYZ by the sale of Chinese food items?
The pie chart illustrates the percentage distribution of sales for different food items in a restaurant. Our task is to calculate the revenue generated from Chinese food items, given the total revenue.
Calculate 5% of 35 lakhs:
\[ \text{Revenue from Chinese food} = \frac{5}{100} \times 35 = 1.75 \text{ lakhs} \]Thus, the revenue made from Chinese food items is 1.75 lakhs.
Correct Option: D) 1.75 lakhs
The question asks for the SI unit of 'g', which is the acceleration due to gravity. We need to recall the definition and units of acceleration to determine the correct option.
B) \(\text{ms}^{-2}\) is the correct SI unit for acceleration, and therefore for 'g' (acceleration due to gravity).
Find the number of squares in the given picture
To find the number of squares in the given diagram, we need to count all possible squares of different sizes formed by the grid lines.
Correct Option: B) 16
The question asks to identify the lead actor in the 2017 movie 'Newton'. This requires general knowledge about Indian cinema and popular films.
The critically acclaimed film 'Newton' (2017) featured Rajkummar Rao in the titular lead role of Newton Kumar, a government clerk sent to conduct elections in a conflict-ridden area of Chhattisgarh.
D) Rajkummar Rao — Rajkummar Rao played the lead role of Newton Kumar in the 2017 movie 'Newton'. His performance in the film was highly praised, and the movie was India's official entry for the Best Foreign Language Film at the 90th Academy Awards.
I walk a certain distance and ride back, taking \( \frac{13}{2} \) hours in total. I could walk both ways in a total of \( \frac{31}{4} \) hours. How long will it take me to ride both ways?
6 hrs and 15 min
5 hrs and 55 min
4 hrs and 15 min
5 hrs 15 min
This problem involves calculating time taken for different modes of travel (walking and riding) over a certain distance. We can set up equations based on the given information and solve for the unknown time to ride both ways.
Let the time taken to walk one way be \(T_w\) and the time taken to ride one way be \(T_r\).
From the first statement, "I walk a certain distance and ride back, taking \( \frac{13}{2} \) hours in total", we can write the equation:
\[ T_w + T_r = \frac{13}{2} \text{ hours} \]From the second statement, "I could walk both ways in a total of \( \frac{31}{4} \) hours", we can write the equation:
\[ 2T_w = \frac{31}{4} \text{ hours} \]From the second equation, we can find the time taken to walk one way, \(T_w\):
\[ T_w = \frac{31}{4} \times \frac{1}{2} = \frac{31}{8} \text{ hours} \]Substitute the value of \(T_w\) into the first equation to find \(T_r\):
\[ \frac{31}{8} + T_r = \frac{13}{2} \]\[ T_r = \frac{13}{2} - \frac{31}{8} \]\[ T_r = \frac{13 \times 4}{2 \times 4} - \frac{31}{8} \]\[ T_r = \frac{52}{8} - \frac{31}{8} \]\[ T_r = \frac{52 - 31}{8} = \frac{21}{8} \text{ hours} \]The question asks for the time it will take to ride both ways. This is \(2T_r\):
\[ 2T_r = 2 \times \frac{21}{8} = \frac{21}{4} \text{ hours} \]Convert \( \frac{21}{4} \) hours into hours and minutes:
\[ \frac{21}{4} = 5 \frac{1}{4} \text{ hours} \]\[ 5 \frac{1}{4} \text{ hours} = 5 \text{ hours} + \frac{1}{4} \times 60 \text{ minutes} \]\[ = 5 \text{ hours} + 15 \text{ minutes} \]So, it will take 5 hours and 15 minutes to ride both ways.
Correct Option: D) 5 hrs 15 min
The given graph shows the sales revenue of steel company 'ABC' for the past four years.
What was the total sales revenue in 2015 (in millions $)?
To determine the total sales revenue for the year 2015, we need to analyze the given bar graph and identify the height of the bar corresponding to the year 2015.
Correct Option: C) 8
Kiran swims in a 90 m long pool. He covers 360 m in two minutes by swimming from one end to the other and back along the same straight path, twice. Find the average velocity of Kiran.
To find the average velocity, we need to determine the total displacement and the total time taken. Average velocity is defined as the total displacement divided by the total time. Displacement is the shortest distance from the initial position to the final position.
Correct Option: D) 0 ms -1
The problem involves decoding a word based on a given coding pattern. We need to identify the rule used to transform "BEE" into "YVV" and then apply the same rule to "ANT" to find its code.
A) ZMG is the correct code for ANT, derived by applying the opposite letter rule.
The question asks to identify what a "light-year" measures. This is a fundamental concept in astronomy and physics. We need to recall the definition of a light-year and what physical quantity it represents.
B) Distance — A light-year is a unit of distance, specifically the distance light travels in one Earth year.